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290300927904 = 25321377537641
BaseRepresentation
bin1000011100101110100…
…10001001111110100000
31000202022120102010002200
410032113102021332200
514224014014143104
6341210140213200
726654633113251
oct4162722117640
91022276363080
10290300927904
1110213033a939
124831923a200
13214b55a56b0
141009cd54b28
157840e44b39
hex4397489fa0

290300927904 has 72 divisors (see below), whose sum is σ = 889046603172. Its totient is φ = 89323361280.

The previous prime is 290300927893. The next prime is 290300927923. The reversal of 290300927904 is 409729003092.

It can be written as a sum of positive squares in 2 ways, for example, as 281133248400 + 9167679504 = 530220^2 + 95748^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a self number, because there is not a number n which added to its sum of digits gives 290300927904.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 38765077 + ... + 38772564.

Almost surely, 2290300927904 is an apocalyptic number.

290300927904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

290300927904 is an abundant number, since it is smaller than the sum of its proper divisors (598745675268).

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

290300927904 is a wasteful number, since it uses less digits than its factorization.

290300927904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77537670 (or 77537659 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 290300927904 in words is "two hundred ninety billion, three hundred million, nine hundred twenty-seven thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 77537641 155075282 232612923 310150564 465225846 620301128 697838769 930451692 1007989333 1240602256 1395677538 1860903384 2015978666 2481204512 2791355076 3023967999 3721806768 4031957332 5582710152 6047935998 7443613536 8063914664 9071903997 11165420304 12095871996 16127829328 18143807994 22330840608 24191743992 32255658656 36287615988 48383487984 72575231976 96766975968 145150463952 290300927904