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102927397248 = 273513457557
BaseRepresentation
bin101111111011011110…
…0110111000110000000
3100211200012001112100000
41133312330313012000
53141243403202443
6115141215200000
710302431304234
oct1376674670600
9324605045300
10102927397248
113a718917a75
1217b46216000
139924153870
144da5b685c4
152a2623b8d3
hex17f6f37180

102927397248 has 384 divisors, whose sum is σ = 332100306720. Its totient is φ = 31543934976.

The previous prime is 102927397219. The next prime is 102927397259. The reversal of 102927397248 is 842793729201.

It is a happy number.

102927397248 is a `hidden beast` number, since 1 + 0 + 2 + 9 + 2 + 7 + 397 + 248 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 102927397194 and 102927397203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 184788586 + ... + 184789142.

Almost surely, 2102927397248 is an apocalyptic number.

102927397248 is a gapful number since it is divisible by the number (18) 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 102927397248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166050153360).

102927397248 is an abundant number, since it is smaller than the sum of its proper divisors (229172909472).

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

102927397248 is an equidigital number, since it uses as much as digits as its factorization.

102927397248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 102927397248 in words is "one hundred two billion, nine hundred twenty-seven million, three hundred ninety-seven thousand, two hundred forty-eight".