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109657067520 = 21235711131783
BaseRepresentation
bin110011000100000010…
…0100001000000000000
3101111001012010012110010
41212020010201000000
53244034202130040
6122213055304520
710631255460210
oct1461004410000
9344035105403
10109657067520
1142561612940
1219303b1b140
13a457449890
145443836240
152cbbe57e80
hex1988121000

109657067520 has 832 divisors, whose sum is σ = 471348670464. Its totient is φ = 21021327360.

The previous prime is 109657067449. The next prime is 109657067557. The reversal of 109657067520 is 25760756901.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 109657067520.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 61500549 + ... + 61502331.

Almost surely, 2109657067520 is an apocalyptic number.

109657067520 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 109657067520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235674335232).

109657067520 is an abundant number, since it is smaller than the sum of its proper divisors (361691602944).

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

109657067520 is a wasteful number, since it uses less digits than its factorization.

109657067520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1846 (or 1824 counting only the distinct ones).

The product of its (nonzero) digits is 793800, while the sum is 48.

The spelling of 109657067520 in words is "one hundred nine billion, six hundred fifty-seven million, sixty-seven thousand, five hundred twenty".