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612130054536 = 23327111337229549
BaseRepresentation
bin10001110100001011100…
…10110110000110001000
32011112000101200200010100
420322011302312012020
540012120243221121
61145113023245400
762140103420340
oct10720562660610
92145011620110
10612130054536
1121666a504060
129a775149860
1345953a29580
14218ad277d20
1510dc9c2d026
hex8e85cb6188

612130054536 has 384 divisors, whose sum is σ = 2286097632000. Its totient is φ = 142797219840.

The previous prime is 612130054513. The next prime is 612130054553. The reversal of 612130054536 is 635450031216.

612130054536 is a `hidden beast` number, since 61 + 2 + 13 + 0 + 0 + 54 + 536 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 612130054536.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2551890 + ... + 2781438.

It is an arithmetic number, because the mean of its divisors is an integer number (5953379250).

Almost surely, 2612130054536 is an apocalyptic number.

612130054536 is a gapful number since it is divisible by the number (66) 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 612130054536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1143048816000).

612130054536 is an abundant number, since it is smaller than the sum of its proper divisors (1673967577464).

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

612130054536 is a wasteful number, since it uses less digits than its factorization.

612130054536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229629 (or 229622 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 612130054536 in words is "six hundred twelve billion, one hundred thirty million, fifty-four thousand, five hundred thirty-six".