Search a number
-
+
55005101051010 = 23511376673675097
BaseRepresentation
bin11001000000110110111111…
…00000100100110010000010
321012202102210001210122001020
430200123133200210302002
524202200421332113020
6312552554455050310
714404662452411145
oct1440333740446202
9235672701718036
1055005101051010
1116587594621790
126204435070996
13248cc60566b06
14d8239263805c
15655c200e8c40
hex3206df824c82

55005101051010 has 128 divisors (see below), whose sum is σ = 147927992235264. Its totient is φ = 12972212674560.

The previous prime is 55005101050997. The next prime is 55005101051011. The reversal of 55005101051010 is 1015010150055.

It is a super-2 number, since 2×550051010510102 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (55005101051011) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 81139782 + ... + 81814878.

It is an arithmetic number, because the mean of its divisors is an integer number (1155687439338).

Almost surely, 255005101051010 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 55005101051010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73963996117632).

55005101051010 is an abundant number, since it is smaller than the sum of its proper divisors (92922891184254).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

55005101051010 is a wasteful number, since it uses less digits than its factorization.

55005101051010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 681828.

The product of its (nonzero) digits is 625, while the sum is 24.

The spelling of 55005101051010 in words is "fifty-five trillion, five billion, one hundred one million, fifty-one thousand, ten".

Divisors: 1 2 3 5 6 10 11 15 22 30 33 37 55 66 74 110 111 165 185 222 330 370 407 555 814 1110 1221 2035 2442 4070 6105 6673 12210 13346 20019 33365 40038 66730 73403 100095 146806 200190 220209 246901 367015 440418 493802 675097 734030 740703 1101045 1234505 1350194 1481406 2025291 2202090 2469010 2715911 3375485 3703515 4050582 5431822 6750970 7407030 7426067 8147733 10126455 13579555 14852134 16295466 20252910 22278201 24978589 27159110 37130335 40738665 44556402 49957178 74260670 74935767 81477330 111391005 124892945 149871534 222782010 249785890 274764479 374678835 549528958 749357670 824293437 1373822395 1648586874 2747644790 4121467185 4504922281 8242934370 9009844562 13514766843 22524611405 27029533686 45049222810 49554145091 67573834215 99108290182 135147668430 148662435273 166682124397 247770725455 297324870546 333364248794 495541450910 500046373191 743312176365 833410621985 1000092746382 1486624352730 1666821243970 1833503368367 2500231865955 3667006736734 5000463731910 5500510105101 9167516841835 11001020210202 18335033683670 27502550525505 55005101051010