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111900479040 = 26325717794133
BaseRepresentation
bin110100000110111001…
…0011100111001000000
3101200211112111022111200
41220031302130321000
53313133010312130
6123223435341200
711040666243450
oct1501562347100
9350745438450
10111900479040
11435029a3149
121982b2b1800
13a72416a80c
1455b7773d60
152d9dd9c760
hex1a0dc9ce40

111900479040 has 672 divisors, whose sum is σ = 471760174080. Its totient is φ = 23762239488.

The previous prime is 111900479021. The next prime is 111900479099. The reversal of 111900479040 is 40974009111.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 111900478986 and 111900479004.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 27072814 + ... + 27076946.

Almost surely, 2111900479040 is an apocalyptic number.

111900479040 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 111900479040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235880087040).

111900479040 is an abundant number, since it is smaller than the sum of its proper divisors (359859695040).

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

111900479040 is a wasteful number, since it uses less digits than its factorization.

111900479040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4259 (or 4246 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The spelling of 111900479040 in words is "one hundred eleven billion, nine hundred million, four hundred seventy-nine thousand, forty".