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19085754666672 = 2432738920400179
BaseRepresentation
bin1000101011011101111111…
…01000001000111010110000
32111120120200001120111210100
410111232333220020322300
510000200111143313142
6104331512531432400
74006620535635201
oct425567750107260
974516601514710
1019085754666672
11609924aa434a1
122182b44755700
13a85a1844b515
1449da80d795a8
152316e6e14b4c
hex115bbfa08eb0

19085754666672 has 120 divisors (see below), whose sum is σ = 54753675116400. Its totient is φ = 6204265334784.

The previous prime is 19085754666637. The next prime is 19085754666689. The reversal of 19085754666672 is 27666645758091.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 19085754666672.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9264522 + ... + 11135657.

It is an arithmetic number, because the mean of its divisors is an integer number (456280625970).

Almost surely, 219085754666672 is an apocalyptic number.

19085754666672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19085754666672 is an abundant number, since it is smaller than the sum of its proper divisors (35667920449728).

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

19085754666672 is a wasteful number, since it uses less digits than its factorization.

19085754666672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20400355 (or 20400346 counting only the distinct ones).

The product of its (nonzero) digits is 914457600, while the sum is 72.

The spelling of 19085754666672 in words is "nineteen trillion, eighty-five billion, seven hundred fifty-four million, six hundred sixty-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 73 89 144 146 178 219 267 292 356 438 534 584 657 712 801 876 1068 1168 1314 1424 1602 1752 2136 2628 3204 3504 4272 5256 6408 6497 10512 12816 12994 19491 25988 38982 51976 58473 77964 103952 116946 155928 233892 311856 467784 935568 20400179 40800358 61200537 81600716 122401074 163201432 183601611 244802148 326402864 367203222 489604296 734406444 979208592 1468812888 1489213067 1815615931 2937625776 2978426134 3631231862 4467639201 5446847793 5956852268 7262463724 8935278402 10893695586 11913704536 13402917603 14524927448 16340543379 17870556804 21787391172 23827409072 26805835206 29049854896 32681086758 35741113608 43574782344 53611670412 65362173516 71482227216 87149564688 107223340824 130724347032 132539962963 214446681648 261448694064 265079925926 397619888889 530159851852 795239777778 1060319703704 1192859666667 1590479555556 2120639407408 2385719333334 3180959111112 4771438666668 6361918222224 9542877333336 19085754666672