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452766496968 = 23326288423569
BaseRepresentation
bin1101001011010101111…
…11000111100011001000
31121021200002001011000100
412211222333013203020
524404231210400333
6543555325205400
744465655503412
oct6455277074310
91537602034010
10452766496968
1116502097a585
12738ba700860
13339075a7a06
1417cb20b59b2
15bb9e0ab213
hex696afc78c8

452766496968 has 24 divisors (see below), whose sum is σ = 1226242596150. Its totient is φ = 150922165632.

The previous prime is 452766496943. The next prime is 452766496997. The reversal of 452766496968 is 869694667254.

452766496968 is a `hidden beast` number, since 4 + 5 + 2 + 76 + 6 + 496 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 452689443684 + 77053284 = 672822^2 + 8778^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (72), and also a Moran number because the ratio is a prime number: 6288423569 = 452766496968 / (4 + 5 + 2 + 7 + 6 + 6 + 4 + 9 + 6 + 9 + 6 + 8).

It is a junction number, because it is equal to n+sod(n) for n = 452766496896 and 452766496905.

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, 3144211713 + ... + 3144211856.

Almost surely, 2452766496968 is an apocalyptic number.

It is an amenable number.

452766496968 is an abundant number, since it is smaller than the sum of its proper divisors (773476099182).

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

452766496968 is a wasteful number, since it uses less digits than its factorization.

452766496968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6288423581 (or 6288423574 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 452766496968 in words is "four hundred fifty-two billion, seven hundred sixty-six million, four hundred ninety-six thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 6288423569 12576847138 18865270707 25153694276 37730541414 50307388552 56595812121 75461082828 113191624242 150922165656 226383248484 452766496968