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102869948160 = 28365715749
BaseRepresentation
bin101111111001110000…
…1101101011100000000
3100211112011221211000000
41133303201231130000
53141134201320120
6115131404000000
710301133063210
oct1376341553400
9324464854000
10102869948160
113a699449691
1217b2ab30000
13991528aa15
144d9c292240
152a2118e990
hex17f386d700

102869948160 has 504 divisors, whose sum is σ = 422243388000. Its totient is φ = 23511638016.

The previous prime is 102869948149. The next prime is 102869948161. The reversal of 102869948160 is 61849968201.

102869948160 is a `hidden beast` number, since 10 + 2 + 8 + 6 + 99 + 481 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

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 = 102869948097 and 102869948106.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (102869948161) by changing a digit.

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 55 ways as a sum of consecutive naturals, for example, 6523966 + ... + 6539714.

It is an arithmetic number, because the mean of its divisors is an integer number (837784500).

Almost surely, 2102869948160 is an apocalyptic number.

102869948160 is a gapful number since it is divisible by the number (10) 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 102869948160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211121694000).

102869948160 is an abundant number, since it is smaller than the sum of its proper divisors (319373439840).

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

102869948160 is an frugal number, since it uses more digits than its factorization.

102869948160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15795 (or 15766 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 102869948160 in words is "one hundred two billion, eight hundred sixty-nine million, nine hundred forty-eight thousand, one hundred sixty".