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1116662106960 = 2432519285728571
BaseRepresentation
bin10000001111111110001…
…111111000101101010000
310221202022002202111112100
4100033332033320231100
5121243410444410320
62212553144200400
7143450633204601
oct20177617705520
93852262674470
101116662106960
113a0634714624
121604bba69100
13813baa9406a
143c09234bda8
151e0a8681790
hex103fe3f8b50

1116662106960 has 240 divisors, whose sum is σ = 3949018407360. Its totient is φ = 281995499520.

The previous prime is 1116662106929. The next prime is 1116662107007. The reversal of 1116662106960 is 696012666111.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×11166621069602 (a number of 25 digits) contains 22 as substring.

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 polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39069475 + ... + 39098045.

It is an arithmetic number, because the mean of its divisors is an integer number (16454243364).

Almost surely, 21116662106960 is an apocalyptic number.

1116662106960 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 1116662106960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1974509203680).

1116662106960 is an abundant number, since it is smaller than the sum of its proper divisors (2832356300400).

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

1116662106960 is a wasteful number, since it uses less digits than its factorization.

1116662106960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31466 (or 31457 counting only the distinct ones).

The product of its (nonzero) digits is 139968, while the sum is 45.

The spelling of 1116662106960 in words is "one trillion, one hundred sixteen billion, six hundred sixty-two million, one hundred six thousand, nine hundred sixty".