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2122379904 = 2736782493
BaseRepresentation
bin111111010000000…
…1111001010000000
312110220122001220010
41332200033022000
513321312124104
6550333544520
7103410634341
oct17640171200
95426561803
102122379904
1199a034487
124b2945140
1327a9255c8
14161c340c8
15c64d8489
hex7e80f280

2122379904 has 64 divisors (see below), whose sum is σ = 5721783840. Its totient is φ = 696892416.

The previous prime is 2122379887. The next prime is 2122379923. The reversal of 2122379904 is 4099732212.

It is a tau number, because it is divible by the number of its divisors (64).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 15519 + ... + 66974.

Almost surely, 22122379904 is an apocalyptic number.

2122379904 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2122379904 is an abundant number, since it is smaller than the sum of its proper divisors (3599403936).

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

2122379904 is an equidigital number, since it uses as much as digits as its factorization.

2122379904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82577 (or 82565 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 2122379904 is about 46069.2945897807. The cubic root of 2122379904 is about 1285.1121854948.

The spelling of 2122379904 in words is "two billion, one hundred twenty-two million, three hundred seventy-nine thousand, nine hundred four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 268 384 402 536 804 1072 1608 2144 3216 4288 6432 8576 12864 25728 82493 164986 247479 329972 494958 659944 989916 1319888 1979832 2639776 3959664 5279552 5527031 7919328 10559104 11054062 15838656 16581093 22108124 31677312 33162186 44216248 66324372 88432496 132648744 176864992 265297488 353729984 530594976 707459968 1061189952 2122379904