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6153406120116 = 2232170927947781
BaseRepresentation
bin101100110001011001110…
…0101100000000010110100
3210210021000110012220011200
41121202303211200002310
51301304133431320431
621030500304332500
71203366066006603
oct131426345400264
923707013186150
106153406120116
111a62710377002
128346a3314130
13358357498938
14173b7daa1a3a
15aa0e6accee6
hex598b39600b4

6153406120116 has 18 divisors (see below), whose sum is σ = 15554443248162. Its totient is φ = 2051135373360.

The previous prime is 6153406120109. The next prime is 6153406120153. The reversal of 6153406120116 is 6110216043516.

6153406120116 is a `hidden beast` number, since 6 + 1 + 5 + 34 + 0 + 612 + 0 + 1 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5025039555600 + 1128366564516 = 2241660^2 + 1062246^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 170927947781 = 6153406120116 / (6 + 1 + 5 + 3 + 4 + 0 + 6 + 1 + 2 + 0 + 1 + 1 + 6).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 85463973855 + ... + 85463973926.

It is an arithmetic number, because the mean of its divisors is an integer number (864135736009).

Almost surely, 26153406120116 is an apocalyptic number.

It is an amenable number.

6153406120116 is an abundant number, since it is smaller than the sum of its proper divisors (9401037128046).

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

6153406120116 is a wasteful number, since it uses less digits than its factorization.

6153406120116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170927947791 (or 170927947786 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 6153406120116 in words is "six trillion, one hundred fifty-three billion, four hundred six million, one hundred twenty thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 170927947781 341855895562 512783843343 683711791124 1025567686686 1538351530029 2051135373372 3076703060058 6153406120116