Search a number
-
+
2933529690025 = 521141921492
BaseRepresentation
bin101010101100000011111…
…111101011111110101001
3101101102221201122200000201
4222230003333223332221
5341030332100040100
610123351150032201
7421640412641644
oct52540377537651
911342851580021
102933529690025
11a31115040000
123b46551a8661
13183827748a3c
14a1daadaaa5b
1551493e5736a
hex2ab03febfa9

2933529690025 has 135 divisors (see below), whose sum is σ = 4251521280405. Its totient is φ = 2007622900800.

The previous prime is 2933529690019. The next prime is 2933529690053. The reversal of 2933529690025 is 5200969253392.

The square root of 2933529690025 is 1712755.

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

It can be written as a sum of positive squares in 4 ways, for example, as 875521390249 + 2058008299776 = 935693^2 + 1434576^2 .

It is not a de Polignac number, because 2933529690025 - 27 = 2933529689897 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 19688118651 + ... + 19688118799.

Almost surely, 22933529690025 is an apocalyptic number.

2933529690025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

2933529690025 is the 1712755-th square number.

2933529690025 is the 856378-th centered octagonal number.

It is an amenable number.

2933529690025 is a deficient number, since it is larger than the sum of its proper divisors (1317991590380).

2933529690025 is an frugal number, since it uses more digits than its factorization.

2933529690025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 390 (or 184 counting only the distinct ones).

The product of its (nonzero) digits is 7873200, while the sum is 55.

The spelling of 2933529690025 in words is "two trillion, nine hundred thirty-three billion, five hundred twenty-nine million, six hundred ninety thousand, twenty-five".

Divisors: 1 5 11 19 25 55 95 121 149 209 275 361 475 605 745 1045 1331 1639 1805 2299 2831 3025 3725 3971 5225 6655 8195 9025 11495 14155 14641 18029 19855 22201 25289 31141 33275 40975 43681 53789 57475 70775 73205 90145 99275 111005 126445 155705 198319 218405 244211 268945 278179 342551 366025 421819 450725 480491 555025 591679 632225 778525 991595 1092025 1221055 1344725 1390895 1712755 2109095 2181509 2402455 2686321 2958395 3768061 4640009 4957975 5285401 6105275 6508469 6954475 8014561 8563775 10545475 10907545 12012275 13431605 14791975 18840305 23200045 26427005 29549531 32542345 40072805 41448671 51040099 54537725 67158025 71593159 88160171 94201525 116000225 132135025 147747655 162711725 200364025 207243355 255200495 325044841 357965795 440800855 561441089 738738275 787524749 969761881 1036216775 1276002475 1625224205 1789828975 2204004275 2807205445 3937623745 4848809405 6175851979 8126121025 10667380691 14036027225 19688118725 24244047025 30879259895 53336903455 117341187601 154396299475 266684517275 586705938005 2933529690025