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55157948651520 = 211325111337113117
BaseRepresentation
bin11001000101010011101011…
…11011111001100000000000
321020022001022021112020110100
430202221311323321200000
524212201434323322040
6313151113425402400
714422013246522541
oct1442516573714000
9236261267466410
1055157948651520
111663639a05a290
126229b91499400
1324a14aba6b690
14d899322804c8
15659bb8bb6b30
hex322a75ef9800

55157948651520 has 1152 divisors, whose sum is σ = 230660434105920. Its totient is φ = 12009335685120.

The previous prime is 55157948651467. The next prime is 55157948651543. The reversal of 55157948651520 is 2515684975155.

55157948651520 is a `hidden beast` number, since 5 + 5 + 1 + 5 + 7 + 9 + 48 + 65 + 1 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 487562002 + ... + 487675118.

Almost surely, 255157948651520 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 55157948651520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115330217052960).

55157948651520 is an abundant number, since it is smaller than the sum of its proper divisors (175502485454400).

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

55157948651520 is a wasteful number, since it uses less digits than its factorization.

55157948651520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113211 (or 113188 counting only the distinct ones).

The product of its (nonzero) digits is 75600000, while the sum is 63.

The spelling of 55157948651520 in words is "fifty-five trillion, one hundred fifty-seven billion, nine hundred forty-eight million, six hundred fifty-one thousand, five hundred twenty".