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18456785688 = 23311714392243
BaseRepresentation
bin10001001100000111…
…000011001100011000
31202122021200212012010
4101030013003030120
5300244414120223
612251240545520
71222243042545
oct211407031430
952567625163
1018456785688
1179114132a0
1236b11822a0
131981a64a83
14c71373bcc
15730537393
hex44c1c3318

18456785688 has 128 divisors (see below), whose sum is σ = 51184742400. Its totient is φ = 5499177600.

The previous prime is 18456785657. The next prime is 18456785701. The reversal of 18456785688 is 88658765481.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 8227495 + ... + 8229737.

It is an arithmetic number, because the mean of its divisors is an integer number (399880800).

Almost surely, 218456785688 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 18456785688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25592371200).

18456785688 is an abundant number, since it is smaller than the sum of its proper divisors (32727956712).

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

18456785688 is a wasteful number, since it uses less digits than its factorization.

18456785688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2773 (or 2769 counting only the distinct ones).

The product of its digits is 103219200, while the sum is 66.

The spelling of 18456785688 in words is "eighteen billion, four hundred fifty-six million, seven hundred eighty-five thousand, six hundred eighty-eight".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 44 66 71 88 132 142 213 264 284 426 439 568 781 852 878 1317 1562 1704 1756 2243 2343 2634 3124 3512 4486 4686 4829 5268 6248 6729 8972 9372 9658 10536 13458 14487 17944 18744 19316 24673 26916 28974 31169 38632 49346 53832 57948 62338 74019 93507 98692 115896 124676 148038 159253 187014 197384 249352 296076 318506 342859 374028 477759 592152 637012 685718 748056 955518 984677 1028577 1274024 1371436 1751783 1911036 1969354 2057154 2742872 2954031 3503566 3822072 3938708 4114308 5255349 5908062 7007132 7877416 8228616 10510698 10831447 11816124 14014264 21021396 21662894 23632248 32494341 42042792 43325788 64988682 69912067 86651576 129977364 139824134 209736201 259954728 279648268 419472402 559296536 769032737 838944804 1538065474 1677889608 2307098211 3076130948 4614196422 6152261896 9228392844 18456785688