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52567782510404 = 22717671812790931
BaseRepresentation
bin10111111001111011001000…
…00000001100111101000100
320220010102122010222010100202
423330331210000030331010
523342232304310313104
6303445150024030032
714033616440554130
oct1374754400147504
9226112563863322
1052567782510404
1115827964873707
125a8bba4002318
132344175006525
14cda4195c23c0
1561261e35c51e
hex2fcf6400cf44

52567782510404 has 96 divisors (see below), whose sum is σ = 112988978049024. Its totient is φ = 20885954664960.

The previous prime is 52567782510401. The next prime is 52567782510433. The reversal of 52567782510404 is 40401528776525.

It is a super-2 number, since 2×525677825104042 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 52567782510404.

It is not an unprimeable number, because it can be changed into a prime (52567782510401) 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, 578060819 + ... + 578151749.

It is an arithmetic number, because the mean of its divisors is an integer number (1176968521344).

Almost surely, 252567782510404 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 52567782510404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56494489024512).

52567782510404 is an abundant number, since it is smaller than the sum of its proper divisors (60421195538620).

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

52567782510404 is a wasteful number, since it uses less digits than its factorization.

52567782510404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109153 (or 109151 counting only the distinct ones).

The product of its (nonzero) digits is 18816000, while the sum is 56.

The spelling of 52567782510404 in words is "fifty-two trillion, five hundred sixty-seven billion, seven hundred eighty-two million, five hundred ten thousand, four hundred four".

Divisors: 1 2 4 7 14 17 28 34 67 68 119 134 238 268 469 476 938 1139 1876 2278 4556 7973 15946 18127 31892 36254 72508 90931 126889 181862 253778 308159 363724 507556 616318 636517 1214509 1232636 1273034 1545827 2157113 2429018 2546068 3091654 4314226 4858036 6092377 6183308 8501563 8628452 10820789 12184754 17003126 20646653 21641578 24369508 34006252 41293306 42646639 43283156 82586612 85293278 103570409 144526571 170586556 207140818 289053142 414281636 578106284 724992863 1449985726 1648306237 2899971452 3296612474 6593224948 11538143659 23076287318 28021206029 46152574636 56042412058 110436517879 112084824116 196148442203 220873035758 392296884406 441746071516 773055625153 784593768812 1546111250306 1877420803943 3092222500612 3754841607886 7509683215772 13141945627601 26283891255202 52567782510404