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56516455410 = 23529181358903
BaseRepresentation
bin110100101000101001…
…001010101111110010
312101212201200101221020
4310220221022233302
51411221203033120
641544023440310
74040346642012
oct645051125762
9171781611836
1056516455410
1121a7207a498
12ab532b6096
135438b327bc
142a41d79c42
15170b9e6640
hexd28a4abf2

56516455410 has 64 divisors (see below), whose sum is σ = 141092340480. Its totient is φ = 14470928640.

The previous prime is 56516455403. The next prime is 56516455423. The reversal of 56516455410 is 1455461565.

56516455410 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×565164554102 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21982 + ... + 336921.

It is an arithmetic number, because the mean of its divisors is an integer number (2204567820).

Almost surely, 256516455410 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56516455410, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70546170240).

56516455410 is an abundant number, since it is smaller than the sum of its proper divisors (84575885070).

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

56516455410 is a wasteful number, since it uses less digits than its factorization.

56516455410 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 359123.

The product of its (nonzero) digits is 360000, while the sum is 42.

The spelling of 56516455410 in words is "fifty-six billion, five hundred sixteen million, four hundred fifty-five thousand, four hundred ten".

Divisors: 1 2 3 5 6 10 15 29 30 58 87 145 174 181 290 362 435 543 870 905 1086 1810 2715 5249 5430 10498 15747 26245 31494 52490 78735 157470 358903 717806 1076709 1794515 2153418 3589030 5383545 10408187 10767090 20816374 31224561 52040935 62449122 64961443 104081870 129922886 156122805 194884329 312245610 324807215 389768658 649614430 974421645 1883881847 1948843290 3767763694 5651645541 9419409235 11303291082 18838818470 28258227705 56516455410