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557802485856 = 253371131307881
BaseRepresentation
bin10000001110111111001…
…11100111100001100000
31222022210012210020022000
420013133213213201200
533114334414021411
61104130111044000
755204602620310
oct10073747474140
91868705706260
10557802485856
111a5620a63670
1290132b10600
13407a6536c25
141cdd7cc5440
15e79a4aa956
hex81df9e7860

557802485856 has 768 divisors, whose sum is σ = 2103008624640. Its totient is φ = 139594752000.

The previous prime is 557802485837. The next prime is 557802485873. The reversal of 557802485856 is 658584208755.

It is a happy number.

557802485856 is a `hidden beast` number, since 5 + 5 + 7 + 8 + 0 + 2 + 48 + 585 + 6 = 666.

557802485856 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×5578024858562 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 557802485793 and 557802485802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 633146536 + ... + 633147416.

It is an arithmetic number, because the mean of its divisors is an integer number (2738292480).

Almost surely, 2557802485856 is an apocalyptic number.

557802485856 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 557802485856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1051504312320).

557802485856 is an abundant number, since it is smaller than the sum of its proper divisors (1545206138784).

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

557802485856 is a wasteful number, since it uses less digits than its factorization.

557802485856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1256 (or 1242 counting only the distinct ones).

The product of its (nonzero) digits is 107520000, while the sum is 63.

The spelling of 557802485856 in words is "five hundred fifty-seven billion, eight hundred two million, four hundred eighty-five thousand, eight hundred fifty-six".