Search a number
-
+
252124243200324 = 223211636677381819
BaseRepresentation
bin111001010100111000111111…
…111101001000100101000100
31020001200211202000010200202100
4321110320333331020211010
5231021300422224402244
62252120140042512100
7104051242532234565
oct7124707775104504
91201624660120670
10252124243200324
117337532246a570
122433b44ab05630
13aa8b2a25536b1
144638c427a416c
151e234e4446b69
hexe54e3ff48944

252124243200324 has 36 divisors (see below), whose sum is σ = 695251700947440. Its totient is φ = 76401285818160.

The previous prime is 252124243200307. The next prime is 252124243200341. The reversal of 252124243200324 is 423002342421252.

252124243200324 is a `hidden beast` number, since 2 + 5 + 2 + 1 + 2 + 4 + 2 + 4 + 320 + 0 + 324 = 666.

It is an interprime number because it is at equal distance from previous prime (252124243200307) and next prime (252124243200341).

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×2521242432003242 (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 318338690514 + ... + 318338691305.

It is an arithmetic number, because the mean of its divisors is an integer number (19312547248540).

Almost surely, 2252124243200324 is an apocalyptic number.

It is an amenable number.

252124243200324 is an abundant number, since it is smaller than the sum of its proper divisors (443127457747116).

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

252124243200324 is a wasteful number, since it uses less digits than its factorization.

252124243200324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 636677381840 (or 636677381835 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 36.

Adding to 252124243200324 its reverse (423002342421252), we get a palindrome (675126585621576).

The spelling of 252124243200324 in words is "two hundred fifty-two trillion, one hundred twenty-four billion, two hundred forty-three million, two hundred thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 636677381819 1273354763638 1910032145457 2546709527276 3820064290914 5730096436371 7003451200009 7640128581828 11460192872742 14006902400018 21010353600027 22920385745484 28013804800036 42020707200054 63031060800081 84041414400108 126062121600162 252124243200324