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12289810987344 = 2431137629085329
BaseRepresentation
bin1011001011010111000111…
…0100010111100101010000
31121111220011001120122210110
42302311301310113211100
53102324013103043334
642045510005201320
72405623654526532
oct262656164274520
947456131518713
1012289810987344
113a090969a9090
121465a20a00240
136b1c02622b07
14306b89839852
15164a45d37ae9
hexb2d71d17950

12289810987344 has 80 divisors (see below), whose sum is σ = 35571000899520. Its totient is φ = 3623531489280.

The previous prime is 12289810987331. The next prime is 12289810987357. The reversal of 12289810987344 is 44378901898221.

12289810987344 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12289810987331) and next prime (12289810987357).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 314523129 + ... + 314562200.

It is an arithmetic number, because the mean of its divisors is an integer number (444637511244).

Almost surely, 212289810987344 is an apocalyptic number.

It is an amenable number.

12289810987344 is an abundant number, since it is smaller than the sum of its proper divisors (23281189912176).

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

12289810987344 is a wasteful number, since it uses less digits than its factorization.

12289810987344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629085388 (or 629085382 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 66.

The spelling of 12289810987344 in words is "twelve trillion, two hundred eighty-nine billion, eight hundred ten million, nine hundred eighty-seven thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 37 44 48 66 74 88 111 132 148 176 222 264 296 407 444 528 592 814 888 1221 1628 1776 2442 3256 4884 6512 9768 19536 629085329 1258170658 1887255987 2516341316 3774511974 5032682632 6919938619 7549023948 10065365264 13839877238 15098047896 20759815857 23276157173 27679754476 30196095792 41519631714 46552314346 55359508952 69828471519 83039263428 93104628692 110719017904 139656943038 166078526856 186209257384 256037728903 279313886076 332157053712 372418514768 512075457806 558627772152 768113186709 1024150915612 1117255544304 1536226373418 2048301831224 3072452746836 4096603662448 6144905493672 12289810987344