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12172545405 = 3352931100297
BaseRepresentation
bin10110101011000101…
…00100110101111101
31011102022210101011000
423111202210311331
5144412132423110
65331511520513
7610434633366
oct132542446575
934368711130
1012172545405
1151870a2589
122438689139
1311bcb285b7
148368d4b6d
154b39a51c0
hex2d58a4d7d

12172545405 has 64 divisors (see below), whose sum is σ = 23108659200. Its totient is φ = 6065902080.

The previous prime is 12172545401. The next prime is 12172545419. The reversal of 12172545405 is 50454527121.

12172545405 is a `hidden beast` number, since 1 + 2 + 1 + 72 + 545 + 40 + 5 = 666.

It is not a de Polignac number, because 12172545405 - 22 = 12172545401 is a prime.

It is a super-2 number, since 2×121725454052 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12172545405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12172545401) 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, 71217 + ... + 171513.

It is an arithmetic number, because the mean of its divisors is an integer number (361072800).

Almost surely, 212172545405 is an apocalyptic number.

12172545405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

12172545405 is a deficient number, since it is larger than the sum of its proper divisors (10936113795).

12172545405 is a wasteful number, since it uses less digits than its factorization.

12172545405 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100371 (or 100365 counting only the distinct ones).

The product of its (nonzero) digits is 56000, while the sum is 36.

The spelling of 12172545405 in words is "twelve billion, one hundred seventy-two million, five hundred forty-five thousand, four hundred five".

Divisors: 1 3 5 9 15 27 29 31 45 87 93 135 145 155 261 279 435 465 783 837 899 1305 1395 2697 3915 4185 4495 8091 13485 24273 40455 100297 121365 300891 501485 902673 1504455 2708019 2908613 3109207 4513365 8725839 9327621 13540095 14543065 15546035 26177517 27982863 43629195 46638105 78532551 83948589 90167003 130887585 139914315 270501009 392662755 419742945 450835015 811503027 1352505045 2434509081 4057515135 12172545405