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2136660796512 = 253511113221059
BaseRepresentation
bin11111000101111010111…
…010000110010001100000
321120021002120020121200000
4133011322322012101200
5240001340130442022
64313322440100000
7310240306052154
oct37057272062140
97507076217600
102136660796512
11754175353a20
122a6123464600
13126642398bc8
14755b4819064
153a8a59a56ac
hex1f17ae86460

2136660796512 has 288 divisors, whose sum is σ = 6934867954560. Its totient is φ = 641740216320.

The previous prime is 2136660796511. The next prime is 2136660796597. The reversal of 2136660796512 is 2156970666312.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×21366607965122 (a number of 25 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2136660796511) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9555039 + ... + 9776097.

It is an arithmetic number, because the mean of its divisors is an integer number (24079402620).

Almost surely, 22136660796512 is an apocalyptic number.

2136660796512 is a gapful number since it is divisible by the number (22) 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 2136660796512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3467433977280).

2136660796512 is an abundant number, since it is smaller than the sum of its proper divisors (4798207158048).

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

2136660796512 is a wasteful number, since it uses less digits than its factorization.

2136660796512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221208 (or 221188 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 2136660796512 in words is "two trillion, one hundred thirty-six billion, six hundred sixty million, seven hundred ninety-six thousand, five hundred twelve".