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6460516341056 = 26971823570859
BaseRepresentation
bin101111000000011010011…
…0010000001010101000000
3211212121201111021120102002
41132000310302001111000
51321322114140403211
621423530434243132
71234520421553331
oct136006462012500
924777644246362
106460516341056
11207098705a558
12884111a264a8
1337b2bb3b226b
14184995252288
15b30bd5c903b
hex5e034c81540

6460516341056 has 56 divisors (see below), whose sum is σ = 12959380573440. Its totient is φ = 3195197263872.

The previous prime is 6460516341029. The next prime is 6460516341073. The reversal of 6460516341056 is 6501436150646.

It is a super-2 number, since 2×64605163410562 (a number of 26 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 6460516341056.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11031755 + ... + 11602613.

It is an arithmetic number, because the mean of its divisors is an integer number (231417510240).

Almost surely, 26460516341056 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 6460516341056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6479690286720).

6460516341056 is an abundant number, since it is smaller than the sum of its proper divisors (6498864232384).

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

6460516341056 is a wasteful number, since it uses less digits than its factorization.

6460516341056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 572791 (or 572781 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 47.

The spelling of 6460516341056 in words is "six trillion, four hundred sixty billion, five hundred sixteen million, three hundred forty-one thousand, fifty-six".

Divisors: 1 2 4 8 16 32 64 97 194 388 776 1552 1823 3104 3646 6208 7292 14584 29168 58336 116672 176831 353662 570859 707324 1141718 1414648 2283436 2829296 4566872 5658592 9133744 11317184 18267488 36534976 55373323 110746646 221493292 442986584 885973168 1040675957 1771946336 2081351914 3543892672 4162703828 8325407656 16650815312 33301630624 66603261248 100945567829 201891135658 403782271316 807564542632 1615129085264 3230258170528 6460516341056