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18315228736 = 267414323189
BaseRepresentation
bin10001000011101011…
…000011011001000000
31202021102100000120001
4101003223003121000
5300002144304421
612225222525344
71215603606220
oct210353033100
952242300501
1018315228736
117849518482
123671896854
13195b630b6c
14c5a646080
15722dc4691
hex443ac3640

18315228736 has 112 divisors (see below), whose sum is σ = 43540801920. Its totient is φ = 7479521280.

The previous prime is 18315228731. The next prime is 18315228751. The reversal of 18315228736 is 63782251381.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (18315228731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 778230 + ... + 801418.

It is an arithmetic number, because the mean of its divisors is an integer number (388757160).

Almost surely, 218315228736 is an apocalyptic number.

18315228736 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 18315228736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21770400960).

18315228736 is an abundant number, since it is smaller than the sum of its proper divisors (25225573184).

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

18315228736 is a wasteful number, since it uses less digits than its factorization.

18315228736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23292 (or 23282 counting only the distinct ones).

The product of its digits is 483840, while the sum is 46.

The spelling of 18315228736 in words is "eighteen billion, three hundred fifteen million, two hundred twenty-eight thousand, seven hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 32 41 43 56 64 82 86 112 164 172 224 287 301 328 344 448 574 602 656 688 1148 1204 1312 1376 1763 2296 2408 2624 2752 3526 4592 4816 7052 9184 9632 12341 14104 18368 19264 23189 24682 28208 46378 49364 56416 92756 98728 112832 162323 185512 197456 324646 371024 394912 649292 742048 789824 950749 997127 1298584 1484096 1901498 1994254 2597168 3802996 3988508 5194336 6655243 6979889 7605992 7977016 10388672 13310486 13959778 15211984 15954032 26620972 27919556 30423968 31908064 40882207 53241944 55839112 60847936 63816128 81764414 106483888 111678224 163528828 212967776 223356448 286175449 327057656 425935552 446712896 572350898 654115312 1144701796 1308230624 2289403592 2616461248 4578807184 9157614368 18315228736