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18749320896 = 263971277927
BaseRepresentation
bin10001011101100010…
…111110111011000000
31210101200011012001110
4101131202332323000
5301344311232041
612340251003320
71232424412065
oct213542767300
953350135043
1018749320896
117a51559329
123773139540
1319ca54ac27
14c9c162c6c
1574b06e516
hex45d8beec0

18749320896 has 112 divisors (see below), whose sum is σ = 50520006656. Its totient is φ = 6135865344.

The previous prime is 18749320861. The next prime is 18749320921. The reversal of 18749320896 is 69802394781.

It is a super-2 number, since 2×187493208962 (a number of 21 digits) contains 22 as substring.

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, 2361285 + ... + 2369211.

It is an arithmetic number, because the mean of its divisors is an integer number (451071488).

Almost surely, 218749320896 is an apocalyptic number.

18749320896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18749320896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25260003328).

18749320896 is an abundant number, since it is smaller than the sum of its proper divisors (31770685760).

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

18749320896 is a wasteful number, since it uses less digits than its factorization.

18749320896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8166 (or 8156 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 18749320896 in words is "eighteen billion, seven hundred forty-nine million, three hundred twenty thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 97 127 192 194 254 291 381 388 508 582 762 776 1016 1164 1524 1552 2032 2328 3048 3104 4064 4656 6096 6208 7927 8128 9312 12192 12319 15854 18624 23781 24384 24638 31708 36957 47562 49276 63416 73914 95124 98552 126832 147828 190248 197104 253664 295656 380496 394208 507328 591312 760992 768919 788416 1006729 1182624 1521984 1537838 2013458 2306757 2365248 3020187 3075676 4026916 4613514 6040374 6151352 8053832 9227028 12080748 12302704 16107664 18454056 24161496 24605408 32215328 36908112 48322992 49210816 64430656 73816224 96645984 97652713 147632448 193291968 195305426 292958139 390610852 585916278 781221704 1171832556 1562443408 2343665112 3124886816 4687330224 6249773632 9374660448 18749320896