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18000034399872 = 27347248016347
BaseRepresentation
bin1000001011110111101011…
…01010000000011010000000
32100201210020100100100110000
410011323311222000122000
54324403032301243442
6102141033542240000
73535313426635650
oct405736552003200
970653210310400
1018000034399872
11580a8541823a8
12202863b126000
13a0751bc05225
144632c61a4360
1521334ee00d4c
hex105ef5a80680

18000034399872 has 160 divisors (see below), whose sum is σ = 61220355340320. Its totient is φ = 5142866950656.

The previous prime is 18000034399843. The next prime is 18000034399943. The reversal of 18000034399872 is 27899343000081.

18000034399872 is a `hidden beast` number, since 180 + 0 + 0 + 0 + 3 + 4 + 399 + 8 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 123935598 + ... + 124080749.

It is an arithmetic number, because the mean of its divisors is an integer number (382627220877).

Almost surely, 218000034399872 is an apocalyptic number.

18000034399872 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

18000034399872 is an abundant number, since it is smaller than the sum of its proper divisors (43220320940448).

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

18000034399872 is an equidigital number, since it uses as much as digits as its factorization.

18000034399872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248016380 (or 248016359 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 18000034399872 in words is "eighteen trillion, thirty-four million, three hundred ninety-nine thousand, eight hundred seventy-two".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 64 72 81 84 96 108 112 126 128 144 162 168 189 192 216 224 252 288 324 336 378 384 432 448 504 567 576 648 672 756 864 896 1008 1134 1152 1296 1344 1512 1728 2016 2268 2592 2688 3024 3456 4032 4536 5184 6048 8064 9072 10368 12096 18144 24192 36288 72576 248016347 496032694 744049041 992065388 1488098082 1736114429 1984130776 2232147123 2976196164 3472228858 3968261552 4464294246 5208343287 5952392328 6696441369 6944457716 7936523104 8928588492 10416686574 11904784656 13392882738 13888915432 15625029861 15873046208 17857176984 20089324107 20833373148 23809569312 26785765476 27777830864 31250059722 31746092416 35714353968 40178648214 41666746296 46875089583 47619138624 53571530952 55555661728 62500119444 71428707936 80357296428 83333492592 93750179166 95238277248 107143061904 111111323456 125000238888 140625268749 142857415872 160714592856 166666985184 187500358332 214286123808 222222646912 250000477776 281250537498 285714831744 321429185712 333333970368 375000716664 428572247616 500000955552 562501074996 642858371424 666667940736 750001433328 857144495232 1000001911104 1125002149992 1285716742848 1500002866656 2000003822208 2250004299984 2571433485696 3000005733312 4500008599968 6000011466624 9000017199936 18000034399872