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112454352640 = 2857172332099
BaseRepresentation
bin110100010111011001…
…1010011111100000000
3101202021010201000020201
41220232303103330000
53320301303241030
6123354423014544
711060503140340
oct1505663237400
9352233630221
10112454352640
1143767606623
121996489a454
13a7b1b36186
14562b150d20
152dd28082ca
hex1a2ecd3f00

112454352640 has 288 divisors, whose sum is σ = 340134681600. Its totient is φ = 34708979712.

The previous prime is 112454352583. The next prime is 112454352683. The reversal of 112454352640 is 46253454211.

It is a self number, because there is not a number n which added to its sum of digits gives 112454352640.

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, 3487311 + ... + 3519409.

It is an arithmetic number, because the mean of its divisors is an integer number (1181023200).

Almost surely, 2112454352640 is an apocalyptic number.

112454352640 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 112454352640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170067340800).

112454352640 is an abundant number, since it is smaller than the sum of its proper divisors (227680328960).

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

112454352640 is a wasteful number, since it uses less digits than its factorization.

112454352640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32167 (or 32153 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 37.

The spelling of 112454352640 in words is "one hundred twelve billion, four hundred fifty-four million, three hundred fifty-two thousand, six hundred forty".