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1116691614720 = 2103251121983127
BaseRepresentation
bin10000010000000000000…
…000011100110000000000
310221202101011021122120100
4100100000000130300000
5121243441023132340
62213000120442400
7143451442053213
oct20200000346000
93852334248510
101116691614720
113a064a339200
12160509919400
13813c3c25c86
143c09622d77a
151e0ab05e830
hex1040001cc00

1116691614720 has 1584 divisors, whose sum is σ = 4566498693120. Its totient is φ = 251380039680.

The previous prime is 1116691614641. The next prime is 1116691614793. The reversal of 1116691614720 is 274161966111.

It is a happy number.

1116691614720 is a `hidden beast` number, since 1 + 1 + 1 + 6 + 6 + 9 + 1 + 614 + 7 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (1584).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 8792847297 + ... + 8792847423.

Almost surely, 21116691614720 is an apocalyptic number.

1116691614720 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 1116691614720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2283249346560).

1116691614720 is an abundant number, since it is smaller than the sum of its proper divisors (3449807078400).

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

1116691614720 is a wasteful number, since it uses less digits than its factorization.

1116691614720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 282 (or 250 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 1116691614720 in words is "one trillion, one hundred sixteen billion, six hundred ninety-one million, six hundred fourteen thousand, seven hundred twenty".