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1116327199680 = 26345711569983
BaseRepresentation
bin10000001111101010010…
…010010100001111000000
310221201102202120110010000
4100033222102110033000
5121242214230342210
62212500022040000
7143436425430540
oct20175222241700
93851382513100
101116327199680
113a0482668850
12160427879000
1381366593784
143c05da8d320
151e089079ac0
hex103ea4943c0

1116327199680 has 1120 divisors, whose sum is σ = 4964568744960. Its totient is φ = 231320862720.

The previous prime is 1116327199657. The next prime is 1116327199711. The reversal of 1116327199680 is 869917236111.

It is a tau number, because it is divible by the number of its divisors (1120).

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 159 ways as a sum of consecutive naturals, for example, 1135632469 + ... + 1135633451.

Almost surely, 21116327199680 is an apocalyptic number.

1116327199680 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 1116327199680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2482284372480).

1116327199680 is an abundant number, since it is smaller than the sum of its proper divisors (3848241545280).

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

1116327199680 is a wasteful number, since it uses less digits than its factorization.

1116327199680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1599 (or 1580 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 54.

The spelling of 1116327199680 in words is "one trillion, one hundred sixteen billion, three hundred twenty-seven million, one hundred ninety-nine thousand, six hundred eighty".