Search a number
-
+
5356340898129 = 3413213121512
BaseRepresentation
bin100110111110001111011…
…0010111110100101010001
3200222001122121101022210000
41031330132302332211101
51200224241232220004
615220400302400213
71061661056263644
oct115743662764521
920861577338700
105356340898129
11178567a885491
12726117890069
132cb140548a00
14147369405a5b
15944e6299c39
hex4df1ecbe951

5356340898129 has 135 divisors (see below), whose sum is σ = 8789137488747. Its totient is φ = 3249385308000.

The previous prime is 5356340898119. The next prime is 5356340898143. The reversal of 5356340898129 is 9218980436535.

The square root of 5356340898129 is 2314377.

It is a perfect power (a square), and thus also a powerful number.

5356340898129 is a `hidden beast` number, since 5 + 3 + 563 + 40 + 8 + 9 + 8 + 1 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 792358121025 + 4563982777104 = 890145^2 + 2136348^2 .

It is not a de Polignac number, because 5356340898129 - 29 = 5356340897617 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5356340898119) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 35472456204 + ... + 35472456354.

Almost surely, 25356340898129 is an apocalyptic number.

5356340898129 is the 2314377-th square number.

5356340898129 is the 1157189-th centered octagonal number.

It is an amenable number.

5356340898129 is a deficient number, since it is larger than the sum of its proper divisors (3432796590618).

5356340898129 is an equidigital number, since it uses as much as digits as its factorization.

5356340898129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 602 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 5356340898129 in words is "five trillion, three hundred fifty-six billion, three hundred forty million, eight hundred ninety-eight thousand, one hundred twenty-nine".

Divisors: 1 3 9 13 27 39 81 117 131 151 169 351 393 453 507 1053 1179 1359 1521 1703 1963 3537 4077 4563 5109 5889 10611 12231 13689 15327 17161 17667 19781 22139 22801 25519 45981 51483 53001 59343 66417 68403 76557 137943 154449 159003 178029 199251 205209 223093 229671 257153 296413 463347 534087 597753 615627 669279 689013 771459 889239 1390041 1602261 1793259 1846881 2007837 2067039 2314377 2591311 2667717 2900209 2986931 3342989 3853369 6023511 6943131 7773933 8003151 8700627 8960793 10028967 11560107 18070533 20829393 23321799 24009453 26101881 26882379 30086901 33687043 34680321 38830103 69965397 78305643 80647137 90260703 101061129 104040963 116490309 209896191 234916929 241941411 270782109 303183387 312122889 349470927 391287961 437931559 504791339 909550161 1048412781 1173863883 1313794677 1514374017 2728650483 3145238343 3521591649 3941384031 4543122051 5086743493 10564774947 11824152093 13629366153 15260230479 31694324841 35472456279 40888098459 45780691437 66127665409 137342074311 198382996227 412026222933 595148988681 1785446966043 5356340898129