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2076434888256 = 2632600412
BaseRepresentation
bin11110001101110101001…
…010011111011001000000
321100111122022120111001100
4132031311022133121000
5233010014312411011
64225522341534400
7303005664222621
oct36156512373100
97314568514040
102076434888256
1173067a3a8723
12296515a14400
13120a64bb2cc1
14726ddd5ba48
153902d4cbd56
hex1e37529f640

2076434888256 has 63 divisors (see below), whose sum is σ = 5951824824673. Its totient is φ = 692133434880.

The previous prime is 2076434888243. The next prime is 2076434888303. The reversal of 2076434888256 is 6528884346702.

The square root of 2076434888256 is 1440984.

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

2076434888256 is a `hidden beast` number, since 2 + 0 + 76 + 4 + 3 + 488 + 82 + 5 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2074222126656 + 2212761600 = 1440216^2 + 47040^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2076434888193 and 2076434888202.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 34553596 + ... + 34613636.

Almost surely, 22076434888256 is an apocalyptic number.

2076434888256 is the 1440984-th square number.

It is an amenable number.

2076434888256 is an abundant number, since it is smaller than the sum of its proper divisors (3875389936417).

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

2076434888256 is an frugal number, since it uses more digits than its factorization.

2076434888256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120100 (or 60046 counting only the distinct ones).

The product of its (nonzero) digits is 123863040, while the sum is 63.

The spelling of 2076434888256 in words is "two trillion, seventy-six billion, four hundred thirty-four million, eight hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 60041 120082 180123 240164 360246 480328 540369 720492 960656 1080738 1440984 1921312 2161476 2881968 3842624 4322952 5763936 8645904 11527872 17291808 34583616 3604921681 7209843362 10814765043 14419686724 21629530086 28839373448 32444295129 43259060172 57678746896 64888590258 86518120344 115357493792 129777180516 173036240688 230714987584 259554361032 346072481376 519108722064 692144962752 1038217444128 2076434888256