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108797256960 = 2835723175979
BaseRepresentation
bin110010101010011010…
…0100110010100000000
3101101211021020022002120
41211110310212110000
53240304044210320
6121551502444240
710601045265660
oct1452464462400
9341737208076
10108797256960
11421602404a7
1219103b93680
13a34b285032
1453a157c1a0
152c6b719440
hex1954d26500

108797256960 has 288 divisors, whose sum is σ = 414377994240. Its totient is φ = 23786594304.

The previous prime is 108797256947. The next prime is 108797256973. The reversal of 108797256960 is 69652797801.

It is an interprime number because it is at equal distance from previous prime (108797256947) and next prime (108797256973).

It is a super-3 number, since 3×1087972569603 (a number of 34 digits) contains 333 as substring.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 108797256894 and 108797256903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 530251 + ... + 706229.

It is an arithmetic number, because the mean of its divisors is an integer number (1438812480).

Almost surely, 2108797256960 is an apocalyptic number.

108797256960 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 108797256960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207188997120).

108797256960 is an abundant number, since it is smaller than the sum of its proper divisors (305580737280).

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

108797256960 is a wasteful number, since it uses less digits than its factorization.

108797256960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 176033 (or 176019 counting only the distinct ones).

The product of its (nonzero) digits is 11430720, while the sum is 60.

The spelling of 108797256960 in words is "one hundred eight billion, seven hundred ninety-seven million, two hundred fifty-six thousand, nine hundred sixty".