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162400413515121 = 3218044490390569
BaseRepresentation
bin100100111011001111001010…
…111101010111110101110001
3210022000022212001020000022200
4210323033022331113311301
5132241232021324440441
61333221415305253413
746131020432411355
oct4473171275276561
9708008761200280
10162400413515121
11478226a07284a1
121626a355a94269
136c803a745ac22
142c1631707d465
1513b961a1cb7b6
hex93b3caf57d71

162400413515121 has 6 divisors (see below), whose sum is σ = 234578375077410. Its totient is φ = 108266942343408.

The previous prime is 162400413515107. The next prime is 162400413515173. The reversal of 162400413515121 is 121515314004261.

162400413515121 is a `hidden beast` number, since 1 + 6 + 2 + 4 + 0 + 0 + 4 + 13 + 515 + 121 = 666.

It can be written as a sum of positive squares in only one way, i.e., 153415473210000 + 8984940305121 = 12386100^2 + 2997489^2 .

It is not a de Polignac number, because 162400413515121 - 214 = 162400413498737 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162400493515121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 9022245195276 + ... + 9022245195293.

It is an arithmetic number, because the mean of its divisors is an integer number (39096395846235).

Almost surely, 2162400413515121 is an apocalyptic number.

It is an amenable number.

162400413515121 is a deficient number, since it is larger than the sum of its proper divisors (72177961562289).

162400413515121 is a wasteful number, since it uses less digits than its factorization.

162400413515121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18044490390575 (or 18044490390572 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

Adding to 162400413515121 its reverse (121515314004261), we get a palindrome (283915727519382).

The spelling of 162400413515121 in words is "one hundred sixty-two trillion, four hundred billion, four hundred thirteen million, five hundred fifteen thousand, one hundred twenty-one".

Divisors: 1 3 9 18044490390569 54133471171707 162400413515121