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18676494760 = 23571110756671
BaseRepresentation
bin10001011001001101…
…001011000110101000
31210012121010020101011
4101121031023012220
5301222140313020
612325130033304
71230551405020
oct213115130650
953177106334
1018676494760
117a14437a40
123752878834
1319b842cc41
14c92606a80
1574498635a
hex45934b1a8

18676494760 has 128 divisors (see below), whose sum is σ = 52881776640. Its totient is φ = 5766739200.

The previous prime is 18676494721. The next prime is 18676494761. The reversal of 18676494760 is 6749467681.

It is a super-2 number, since 2×186764947602 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 18676494695 and 18676494704.

It is not an unprimeable number, because it can be changed into a prime (18676494761) 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, 301225 + ... + 357895.

It is an arithmetic number, because the mean of its divisors is an integer number (413138880).

Almost surely, 218676494760 is an apocalyptic number.

18676494760 is a gapful number since it is divisible by the number (10) 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 18676494760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26440888320).

18676494760 is an abundant number, since it is smaller than the sum of its proper divisors (34205281880).

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

18676494760 is a wasteful number, since it uses less digits than its factorization.

18676494760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56807 (or 56803 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 58.

The spelling of 18676494760 in words is "eighteen billion, six hundred seventy-six million, four hundred ninety-four thousand, seven hundred sixty".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 28 35 40 44 55 56 70 77 88 107 110 140 154 214 220 280 308 385 428 440 535 616 749 770 856 1070 1177 1498 1540 2140 2354 2996 3080 3745 4280 4708 5885 5992 7490 8239 9416 11770 14980 16478 23540 29960 32956 41195 47080 56671 65912 82390 113342 164780 226684 283355 329560 396697 453368 566710 623381 793394 1133420 1246762 1586788 1983485 2266840 2493524 3116905 3173576 3966970 4363667 4987048 6063797 6233810 7933940 8727334 12127594 12467620 15867880 17454668 21818335 24255188 24935240 30318985 34909336 42446579 43636670 48510376 60637970 66701767 84893158 87273340 121275940 133403534 169786316 174546680 212232895 242551880 266807068 333508835 339572632 424465790 466912369 533614136 667017670 848931580 933824738 1334035340 1697863160 1867649476 2334561845 2668070680 3735298952 4669123690 9338247380 18676494760