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252443403655512 = 233175691229884789
BaseRepresentation
bin111001011001100010001111…
…011001101001100101011000
31020002211100112211211200202220
4321121202033121221211120
5231042013042313434022
62252522522035024040
7104113301606316516
oct7131421731514530
91202740484750686
10252443403655512
11734887121a53a3
122439128113b020
13aab2406b3c744
14464a47c4cb4b6
151e2b973cd785c
hexe5988f669958

252443403655512 has 128 divisors (see below), whose sum is σ = 669952370520000. Its totient is φ = 78994325651456.

The previous prime is 252443403655511. The next prime is 252443403655523. The reversal of 252443403655512 is 215556304344252.

252443403655512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (252443403655511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 284872414 + ... + 285757202.

Almost surely, 2252443403655512 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 252443403655512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (334976185260000).

252443403655512 is an abundant number, since it is smaller than the sum of its proper divisors (417508966864488).

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

252443403655512 is a wasteful number, since it uses less digits than its factorization.

252443403655512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 886613 (or 886609 counting only the distinct ones).

The product of its (nonzero) digits is 17280000, while the sum is 51.

Adding to 252443403655512 its reverse (215556304344252), we get a palindrome (467999707999764).

The spelling of 252443403655512 in words is "two hundred fifty-two trillion, four hundred forty-three billion, four hundred three million, six hundred fifty-five thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 34 51 68 102 136 204 408 569 1138 1229 1707 2276 2458 3414 3687 4552 4916 6828 7374 9673 9832 13656 14748 19346 20893 29019 29496 38692 41786 58038 62679 77384 83572 116076 125358 167144 232152 250716 501432 699301 884789 1398602 1769578 2097903 2654367 2797204 3539156 4195806 5308734 5594408 7078312 8391612 10617468 11888117 15041413 16783224 21234936 23776234 30082826 35664351 45124239 47552468 60165652 71328702 90248478 95104936 120331304 142657404 180496956 285314808 360993912 503444941 1006889882 1087405681 1510334823 2013779764 2174811362 3020669646 3262217043 4027559528 4349622724 6041339292 6524434086 8558563997 8699245448 12082678584 13048868172 17117127994 18485896577 25675691991 26097736344 34234255988 36971793154 51351383982 55457689731 68468511976 73943586308 102702767964 110915379462 147887172616 205405535928 221830758924 443661517848 618733832489 1237467664978 1856201497467 2474935329956 3712402994934 4949870659912 7424805989868 10518475152313 14849611979736 21036950304626 31555425456939 42073900609252 63110850913878 84147801218504 126221701827756 252443403655512