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113831465720544 = 253311133407270421
BaseRepresentation
bin11001111000011101110100…
…000101000001101011100000
3112221001011220120021000112000
4121320131310011001223200
5104410003320211024134
61042033241535204000
732656023560011365
oct3170356405015340
9487034816230460
10113831465720544
11332a7720901190
1210925373676600
134b693519c2280
14201768814646c
15d2603e899e99
hex678774141ae0

113831465720544 has 384 divisors, whose sum is σ = 390167803791360. Its totient is φ = 31831505971200.

The previous prime is 113831465720501. The next prime is 113831465720587. The reversal of 113831465720544 is 445027564138311.

113831465720544 is a `hidden beast` number, since 1 + 1 + 3 + 8 + 3 + 1 + 46 + 57 + 2 + 0 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (113831465720501) and next prime (113831465720587).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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, 420806454 + ... + 421076874.

It is an arithmetic number, because the mean of its divisors is an integer number (1016061989040).

Almost surely, 2113831465720544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113831465720544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195083901895680).

113831465720544 is an abundant number, since it is smaller than the sum of its proper divisors (276336338070816).

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

113831465720544 is a wasteful number, since it uses less digits than its factorization.

113831465720544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273871 (or 273857 counting only the distinct ones).

The product of its (nonzero) digits is 9676800, while the sum is 54.

The spelling of 113831465720544 in words is "one hundred thirteen trillion, eight hundred thirty-one billion, four hundred sixty-five million, seven hundred twenty thousand, five hundred forty-four".