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252111439448 = 231129787125527
BaseRepresentation
bin1110101011001100000…
…0110100011001011000
3220002202002011002112022
43222303000310121120
513112311012030243
6311452435034012
724133361606621
oct3526300643130
9802662132468
10252111439448
1197a13375a30
1240a3b73b908
131aa0a65384b
14c2b8dd8a48
156858390b68
hex3ab3034658

252111439448 has 64 divisors (see below), whose sum is σ = 534146745600. Its totient is φ = 110503048320.

The previous prime is 252111439399. The next prime is 252111439513. The reversal of 252111439448 is 844934111252.

It is a Cunningham number, because it is equal to 5021072-1.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 252111439399 and 252111439408.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1945661 + ... + 2071187.

It is an arithmetic number, because the mean of its divisors is an integer number (8346042900).

Almost surely, 2252111439448 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 252111439448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267073372800).

252111439448 is an abundant number, since it is smaller than the sum of its proper divisors (282035306152).

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

252111439448 is a wasteful number, since it uses less digits than its factorization.

252111439448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 126360 (or 126356 counting only the distinct ones).

The product of its digits is 276480, while the sum is 44.

The spelling of 252111439448 in words is "two hundred fifty-two billion, one hundred eleven million, four hundred thirty-nine thousand, four hundred forty-eight".

Divisors: 1 2 4 8 11 22 29 44 58 88 116 232 319 638 787 1276 1574 2552 3148 6296 8657 17314 22823 34628 45646 69256 91292 125527 182584 251053 251054 502106 502108 1004212 1004216 1380797 2008424 2761594 3640283 5523188 7280566 11046376 14561132 29122264 40043113 80086226 98789749 160172452 197579498 320344904 395158996 790317992 1086687239 2173374478 2864902721 4346748956 5729805442 8693497912 11459610884 22919221768 31513929931 63027859862 126055719724 252111439448