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252245316312 = 233211797399613
BaseRepresentation
bin1110101011101011111…
…1100001001011011000
3220010002102001202001200
43222322333201023120
513113044300110222
6311514020314200
724136605545313
oct3527277411330
9803072052050
10252245316312
1197a819a5670
1240a78542960
131aa2c2c8b22
14c2ccac797a
156864ed7eac
hex3abafe12d8

252245316312 has 96 divisors (see below), whose sum is σ = 746207214480. Its totient is φ = 76341876480.

The previous prime is 252245316307. The next prime is 252245316317. The reversal of 252245316312 is 213613542252.

252245316312 is a `hidden beast` number, since 2 + 5 + 2 + 24 + 5 + 316 + 312 = 666.

It is an interprime number because it is at equal distance from previous prime (252245316307) and next prime (252245316317).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252245316317) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 431418 + ... + 831030.

Almost surely, 2252245316312 is an apocalyptic number.

252245316312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252245316312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373103607240).

252245316312 is an abundant number, since it is smaller than the sum of its proper divisors (493961898168).

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

252245316312 is a wasteful number, since it uses less digits than its factorization.

252245316312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 400433 (or 400426 counting only the distinct ones).

The product of its digits is 86400, while the sum is 36.

Adding to 252245316312 its reverse (213613542252), we get a palindrome (465858858564).

The spelling of 252245316312 in words is "two hundred fifty-two billion, two hundred forty-five million, three hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 797 1594 2391 3188 4782 6376 7173 8767 9564 14346 17534 19128 26301 28692 35068 52602 57384 70136 78903 105204 157806 210408 315612 399613 631224 799226 1198839 1598452 2397678 3196904 3596517 4395743 4795356 7193034 8791486 9590712 13187229 14386068 17582972 26374458 28772136 35165944 39561687 52748916 79123374 105497832 158246748 316493496 318491561 636983122 955474683 1273966244 1910949366 2547932488 2866424049 3503407171 3821898732 5732848098 7006814342 7643797464 10510221513 11465696196 14013628684 21020443026 22931392392 28027257368 31530664539 42040886052 63061329078 84081772104 126122658156 252245316312