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12375432631320 = 23351131687295873
BaseRepresentation
bin1011010000010110000101…
…0001000001010000011000
31121211002011011210211120120
42310011201101001100120
53110224341223200240
642153110102153240
72415044520511653
oct264054121012030
947732134724516
1012375432631320
113a41434103520
12147a537422820
136b9cc931c885
1430ad8d05489a
15166da7b03ad0
hexb4161441418

12375432631320 has 128 divisors (see below), whose sum is σ = 40502830947840. Its totient is φ = 3000000061440.

The previous prime is 12375432631301. The next prime is 12375432631321. The reversal of 12375432631320 is 2313623457321.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12375432631321) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41678904 + ... + 41974776.

It is an arithmetic number, because the mean of its divisors is an integer number (316428366780).

Almost surely, 212375432631320 is an apocalyptic number.

12375432631320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12375432631320 is an abundant number, since it is smaller than the sum of its proper divisors (28127398316520).

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

12375432631320 is a wasteful number, since it uses less digits than its factorization.

12375432631320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 327585 (or 327581 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 42.

The spelling of 12375432631320 in words is "twelve trillion, three hundred seventy-five billion, four hundred thirty-two million, six hundred thirty-one thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 31687 63374 95061 126748 158435 190122 253496 295873 316870 348557 380244 475305 591746 633740 697114 760488 887619 950610 1045671 1183492 1267480 1394228 1479365 1742785 1775238 1901220 2091342 2366984 2788456 2958730 3254603 3485570 3550476 3802440 4182684 4438095 5228355 5917460 6509206 6971140 7100952 8365368 8876190 9763809 10456710 11834920 13018412 13942280 16273015 17752380 19527618 20913420 26036824 32546030 35504760 39055236 41826840 48819045 65092060 78110472 97638090 130184120 195276180 390552360 9375327751 18750655502 28125983253 37501311004 46876638755 56251966506 75002622008 93753277510 103128605261 112503933012 140629916265 187506555020 206257210522 225007866024 281259832530 309385815783 375013110040 412514421044 515643026305 562519665060 618771631566 825028842088 1031286052610 1125039330120 1237543263132 1546929078915 2062572105220 2475086526264 3093858157830 4125144210440 6187716315660 12375432631320