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252416398324 = 221965914333517
BaseRepresentation
bin1110101100010100110…
…0001001001111110100
3220010112022222121110111
43223011030021033310
513113422044221244
6311543011232404
724144053661556
oct3530514111764
9803468877414
10252416398324
119805a527062
1240b058a8704
131aa5889979c
14c3076dd4d6
15687502de34
hex3ac53093f4

252416398324 has 48 divisors (see below), whose sum is σ = 466140628800. Its totient is φ = 119266995456.

The previous prime is 252416398319. The next prime is 252416398369. The reversal of 252416398324 is 423893614252.

252416398324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 71768614 + ... + 71772130.

It is an arithmetic number, because the mean of its divisors is an integer number (9711263100).

Almost surely, 2252416398324 is an apocalyptic number.

It is an amenable number.

252416398324 is a deficient number, since it is larger than the sum of its proper divisors (213724230476).

252416398324 is a wasteful number, since it uses less digits than its factorization.

252416398324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5632 (or 5630 counting only the distinct ones).

The product of its digits is 2488320, while the sum is 49.

The spelling of 252416398324 in words is "two hundred fifty-two billion, four hundred sixteen million, three hundred ninety-eight thousand, three hundred twenty-four".

Divisors: 1 2 4 19 38 76 659 1318 1433 2636 2866 3517 5732 7034 12521 14068 25042 27227 50084 54454 66823 108908 133646 267292 944347 1888694 2317703 3777388 4635406 5039861 9270812 10079722 17942593 20159444 35885186 44036357 71770372 88072714 95757359 176145428 191514718 383029436 3321268399 6642536798 13285073596 63104099581 126208199162 252416398324