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31428550656 = 213323741281
BaseRepresentation
bin11101010001010010…
…011010000000000000
310000010022100210110200
4131101102122000000
51003331202110111
622234342525200
72161554162366
oct352122320000
9100108323420
1031428550656
1112368663308
126111436800
132c6b32bc49
14174206d636
15c3e25d256
hex75149a000

31428550656 has 336 divisors, whose sum is σ = 95855884488. Its totient is φ = 9909043200.

The previous prime is 31428550639. The next prime is 31428550667. The reversal of 31428550656 is 65605582413.

31428550656 is a `hidden beast` number, since 3 + 1 + 42 + 8 + 550 + 6 + 56 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 27582566400 + 3845984256 = 166080^2 + 62016^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111845236 + ... + 111845516.

Almost surely, 231428550656 is an apocalyptic number.

31428550656 is a gapful number since it is divisible by the number (36) 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 31428550656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47927942244).

31428550656 is an abundant number, since it is smaller than the sum of its proper divisors (64427333832).

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

31428550656 is a wasteful number, since it uses less digits than its factorization.

31428550656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 391 (or 364 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The spelling of 31428550656 in words is "thirty-one billion, four hundred twenty-eight million, five hundred fifty thousand, six hundred fifty-six".