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10476207469809 = 343596332
BaseRepresentation
bin1001100001110010111010…
…0111111111010011110001
31101002111220220121012110000
42120130232213333103301
52333120233103013214
634140411523500213
72130611121141504
oct230345647772361
941074826535400
1010476207469809
113379a31003424
121212438827669
135acb95c7b263
142830a04c113b
1513279bdb7809
hex9872e9ff4f1

10476207469809 has 15 divisors (see below), whose sum is σ = 15649686773083. Its totient is φ = 6984118893024.

The previous prime is 10476207469781. The next prime is 10476207469841. The reversal of 10476207469809 is 90896470267401.

The square root of 10476207469809 is 3236697.

It is a perfect power (a square), and thus also a powerful number.

10476207469809 is a `hidden beast` number, since 1 + 0 + 4 + 76 + 20 + 7 + 469 + 80 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5143211658225 + 5332995811584 = 2267865^2 + 2309328^2 .

It is not a de Polignac number, because 10476207469809 - 213 = 10476207461617 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (10476207461809) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 28950457 + ... + 29310089.

Almost surely, 210476207469809 is an apocalyptic number.

10476207469809 is the 3236697-th square number.

10476207469809 is the 1618349-th centered octagonal number.

It is an amenable number.

10476207469809 is a deficient number, since it is larger than the sum of its proper divisors (5173479303274).

10476207469809 is an frugal number, since it uses more digits than its factorization.

10476207469809 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719278 (or 359636 counting only the distinct ones).

The product of its (nonzero) digits is 36578304, while the sum is 63.

The spelling of 10476207469809 in words is "ten trillion, four hundred seventy-six billion, two hundred seven million, four hundred sixty-nine thousand, eight hundred nine".

Divisors: 1 3 9 27 81 359633 1078899 3236697 9710091 29130273 129335894689 388007684067 1164023052201 3492069156603 10476207469809