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18047742064 = 241147261761
BaseRepresentation
bin10000110011101110…
…101011000001110000
31201120210000021211021
4100303232223001300
5243430210221224
612142505425224
71206145163542
oct206356530160
951523007737
1018047742064
117721530810
1235b819b214
1319180a8021
14c32cd7692
157096891e4
hex433bab070

18047742064 has 120 divisors (see below), whose sum is σ = 39666251376. Its totient is φ = 7886976000.

The previous prime is 18047742061. The next prime is 18047742073. The reversal of 18047742064 is 46024774081.

It is a self number, because there is not a number n which added to its sum of digits gives 18047742064.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18047742061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 23715444 + ... + 23716204.

Almost surely, 218047742064 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18047742064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19833125688).

18047742064 is an abundant number, since it is smaller than the sum of its proper divisors (21618509312).

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

18047742064 is a wasteful number, since it uses less digits than its factorization.

18047742064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 935 (or 882 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 43.

The spelling of 18047742064 in words is "eighteen billion, forty-seven million, seven hundred forty-two thousand, sixty-four".

Divisors: 1 2 4 8 11 16 22 44 47 61 88 94 122 176 188 244 376 488 517 671 752 761 976 1034 1342 1522 2068 2209 2684 2867 3044 4136 4418 5368 5734 6088 8272 8371 8836 10736 11468 12176 16742 17672 22936 24299 31537 33484 35344 35767 45872 46421 48598 63074 66968 71534 92842 97196 126148 133936 134749 143068 185684 194392 252296 269498 286136 371368 388784 393437 504592 510631 538996 572272 742736 786874 1021262 1077992 1482239 1573748 1681049 2042524 2155984 2181787 2964478 3147496 3362098 4085048 4363574 5928956 6294992 6724196 8170096 8727148 11857912 13448392 17454296 18491539 23715824 23999657 26896784 34908592 36983078 47999314 73966156 95998628 102543989 147932312 191997256 205087978 295864624 383994512 410175956 820351912 1127983879 1640703824 2255967758 4511935516 9023871032 18047742064