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18040771656 = 2334311994513
BaseRepresentation
bin10000110011010100…
…000101010001001000
31201120021220011020000
4100303110011101020
5243421414143111
612142100203000
71206032012625
oct206324052110
951507804200
1018040771656
1177185aa846
1235b5999460
13191680741b
14c3200134c
15708c5dc56
hex433505448

18040771656 has 160 divisors (see below), whose sum is σ = 52434624000. Its totient is φ = 5789076480.

The previous prime is 18040771633. The next prime is 18040771657. The reversal of 18040771656 is 65617704081.

18040771656 is a `hidden beast` number, since 1 + 80 + 407 + 7 + 165 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (18040771657) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3995256 + ... + 3999768.

It is an arithmetic number, because the mean of its divisors is an integer number (327716400).

Almost surely, 218040771656 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 18040771656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26217312000).

18040771656 is an abundant number, since it is smaller than the sum of its proper divisors (34393852344).

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

18040771656 is a wasteful number, since it uses less digits than its factorization.

18040771656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4761 (or 4748 counting only the distinct ones).

The product of its (nonzero) digits is 282240, while the sum is 45.

The spelling of 18040771656 in words is "eighteen billion, forty million, seven hundred seventy-one thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 72 81 93 108 124 162 186 199 216 248 279 324 372 398 558 597 648 744 796 837 1116 1194 1592 1674 1791 2232 2388 2511 3348 3582 4513 4776 5022 5373 6169 6696 7164 9026 10044 10746 12338 13539 14328 16119 18052 18507 20088 21492 24676 27078 32238 36104 37014 40617 42984 49352 54156 55521 64476 74028 81234 108312 111042 121851 128952 139903 148056 162468 166563 222084 243702 279806 324936 333126 365553 419709 444168 487404 499689 559612 666252 731106 839418 898087 974808 999378 1119224 1259127 1332504 1462212 1678836 1796174 1998756 2518254 2694261 2924424 3357672 3592348 3777381 3997512 5036508 5388522 7184696 7554762 8082783 10073016 10777044 11332143 15109524 16165566 21554088 22664286 24248349 27840697 30219048 32331132 45328572 48496698 55681394 64662264 72745047 83522091 90657144 96993396 111362788 145490094 167044182 193986792 222725576 250566273 290980188 334088364 501132546 581960376 668176728 751698819 1002265092 1503397638 2004530184 2255096457 3006795276 4510192914 6013590552 9020385828 18040771656