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252634325627421 = 32416173153749353
BaseRepresentation
bin111001011100010100000011…
…001111001011001000011101
31020010111121100112012202211200
4321130110003033023020131
5231103130044330034141
62253150335035310113
7104133141046311363
oct7134240317131035
91203447315182750
10252634325627421
1173551685720741
12244022845ab339
13aac741248b95a
1446557d0a85633
151e318ea2baab6
hexe5c5033cb21d

252634325627421 has 48 divisors (see below), whose sum is σ = 385149511738992. Its totient is φ = 159407328153600.

The previous prime is 252634325627413. The next prime is 252634325627461. The reversal of 252634325627421 is 124726523436252.

252634325627421 is a `hidden beast` number, since 2 + 5 + 2 + 6 + 3 + 4 + 3 + 2 + 5 + 627 + 4 + 2 + 1 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 39737453175225 + 212896872452196 = 6303765^2 + 14590986^2 .

It is not a de Polignac number, because 252634325627421 - 23 = 252634325627413 is a prime.

It is a super-2 number, since 2×2526343256274212 (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252634325627401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 75231520 + ... + 78517833.

It is an arithmetic number, because the mean of its divisors is an integer number (8023948161229).

Almost surely, 2252634325627421 is an apocalyptic number.

It is an amenable number.

252634325627421 is a deficient number, since it is larger than the sum of its proper divisors (132515186111571).

252634325627421 is a wasteful number, since it uses less digits than its factorization.

252634325627421 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153749534 (or 153749531 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 54.

The spelling of 252634325627421 in words is "two hundred fifty-two trillion, six hundred thirty-four billion, three hundred twenty-five million, six hundred twenty-seven thousand, four hundred twenty-one".

Divisors: 1 3 9 41 61 73 123 183 219 369 549 657 2501 2993 4453 7503 8979 13359 22509 26937 40077 182573 547719 1643157 153749353 461248059 1383744177 6303723473 9378710533 11223702769 18911170419 28136131599 33671108307 56733511257 84408394797 101013324921 384527131853 460171813529 684645868909 1153581395559 1380515440587 2053937606727 3460744186677 4141546321761 6161812820181 28070480625269 84211441875807 252634325627421