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118915381428480 = 28335713316311933
BaseRepresentation
bin11011000010011100100101…
…000100011000000100000000
3120121001012101101120210102000
4123002130211010120010000
5111041302200121202410
61100524545544424000
734022232002351340
oct3302344504300400
9517035341523360
10118915381428480
113498780377608a
1211406720778000
135147898208b90
14215176c718d20
15db33de20edc0
hex6c2725118100

118915381428480 has 2304 divisors, whose sum is σ = 537246618746880. Its totient is φ = 24229468569600.

The previous prime is 118915381428469. The next prime is 118915381428497. The reversal of 118915381428480 is 84824183519811.

118915381428480 is a `hidden beast` number, since 1 + 1 + 8 + 9 + 1 + 5 + 3 + 8 + 142 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a super-2 number, since 2×1189153814284802 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 61518561594 + ... + 61518563526.

Almost surely, 2118915381428480 is an apocalyptic number.

118915381428480 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 118915381428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268623309373440).

118915381428480 is an abundant number, since it is smaller than the sum of its proper divisors (418331237318400).

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

118915381428480 is a wasteful number, since it uses less digits than its factorization.

118915381428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2645 (or 2625 counting only the distinct ones).

The product of its (nonzero) digits is 17694720, while the sum is 63.

The spelling of 118915381428480 in words is "one hundred eighteen trillion, nine hundred fifteen billion, three hundred eighty-one million, four hundred twenty-eight thousand, four hundred eighty".