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102553855476912 = 243271723143793343
BaseRepresentation
bin10111010100010110101110…
…001000000100010010110000
3111110010001102111221210011100
4113110112232020010102300
5101420220244000230122
61002040331340444400
730413162066420130
oct2724265610042260
9443101374853140
10102553855476912
112a749933930364
12b60375a849700
13452ba30287488
141b478c12a8ac0
15bcc9db49daac
hex5d45ae2044b0

102553855476912 has 1440 divisors, whose sum is σ = 372814091386880. Its totient is φ = 25729597071360.

The previous prime is 102553855476883. The next prime is 102553855476931. The reversal of 102553855476912 is 219674558355201.

It is a happy number.

102553855476912 is a `hidden beast` number, since 1 + 0 + 2 + 5 + 5 + 3 + 8 + 554 + 7 + 69 + 12 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 102553855476912.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 30677191113 + ... + 30677194455.

It is a 1-persistent number, because it is pandigital, but 2⋅102553855476912 = 205107710953824 is not.

Almost surely, 2102553855476912 is an apocalyptic number.

102553855476912 is a gapful number since it is divisible by the number (12) 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 102553855476912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186407045693440).

102553855476912 is an abundant number, since it is smaller than the sum of its proper divisors (270260235909968).

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

102553855476912 is a wasteful number, since it uses less digits than its factorization.

102553855476912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3551 (or 3525 counting only the distinct ones).

The product of its (nonzero) digits is 90720000, while the sum is 63.

The spelling of 102553855476912 in words is "one hundred two trillion, five hundred fifty-three billion, eight hundred fifty-five million, four hundred seventy-six thousand, nine hundred twelve".