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94711532040225 = 3252312209292
BaseRepresentation
bin10101100010001110111111…
…001110010011000000100001
3110102100100000111211201100100
4111202032333032103000201
544403223204200241400
6533233513244413013
725643453025161112
oct2542167716230041
9412310014751310
1094711532040225
11281a5a31791981
12a757890547169
1340b034a470329
1419560c3b30209
15ae39e7025100
hex5623bf393021

94711532040225 has 81 divisors (see below), whose sum is σ = 175295998270809. Its totient is φ = 48881035699200.

The previous prime is 94711532040157. The next prime is 94711532040227. The reversal of 94711532040225 is 52204023511749.

The square root of 94711532040225 is 9731985.

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

94711532040225 is a `hidden beast` number, since 9 + 4 + 71 + 1 + 532 + 0 + 40 + 2 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 796593735441 + 93914938304784 = 892521^2 + 9690972^2 .

It is not a de Polignac number, because 94711532040225 - 217 = 94711531909153 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (94711532040227) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 4525362561 + ... + 4525383489.

Almost surely, 294711532040225 is an apocalyptic number.

94711532040225 is the 9731985-th square number.

94711532040225 is the 4865993-rd centered octagonal number.

It is an amenable number.

94711532040225 is a deficient number, since it is larger than the sum of its proper divisors (80584466230584).

94711532040225 is an frugal number, since it uses more digits than its factorization.

94711532040225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41936 (or 20968 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 94711532040225 in words is "ninety-four trillion, seven hundred eleven billion, five hundred thirty-two million, forty thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 31 45 75 93 155 225 279 465 775 961 1395 2325 2883 4805 6975 8649 14415 20929 24025 43245 62787 72075 104645 188361 216225 313935 523225 648799 941805 1569675 1946397 3243995 4709025 5839191 9731985 16219975 20112769 29195955 48659925 60338307 100563845 145979775 181014921 301691535 438023041 502819225 905074605 1314069123 1508457675 2190115205 3942207369 4525373025 6570345615 10950576025 13578714271 19711036845 32851728075 40736142813 67893571355 98555184225 122208428439 203680714065 339467856775 420940142401 611042142195 1018403570325 1262820427203 2104700712005 3055210710975 3788461281609 6314102136015 10523503560025 18942306408045 31570510680075 94711532040225