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18642061056 = 283374116001
BaseRepresentation
bin10001010111001001…
…110100011100000000
31210010012022211012210
4101113021310130000
5301134331423211
612321500022120
71226652622143
oct212711643400
953105284183
1018642061056
1179a6a59433
123743231940
1319b1264b78
14c8bc0205a
157419339a6
hex457274700

18642061056 has 144 divisors (see below), whose sum is σ = 52202108448. Its totient is φ = 5898240000.

The previous prime is 18642061051. The next prime is 18642061069. The reversal of 18642061056 is 65016024681.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18642061051) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1157056 + ... + 1173056.

It is an arithmetic number, because the mean of its divisors is an integer number (362514642).

Almost surely, 218642061056 is an apocalyptic number.

18642061056 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 18642061056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26101054224).

18642061056 is an abundant number, since it is smaller than the sum of its proper divisors (33560047392).

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

18642061056 is a wasteful number, since it uses less digits than its factorization.

18642061056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16098 (or 16084 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 18642061056 in words is "eighteen billion, six hundred forty-two million, sixty-one thousand, fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 37 41 48 64 74 82 96 111 123 128 148 164 192 222 246 256 296 328 384 444 492 592 656 768 888 984 1184 1312 1517 1776 1968 2368 2624 3034 3552 3936 4551 4736 5248 6068 7104 7872 9102 9472 10496 12136 14208 15744 16001 18204 24272 28416 31488 32002 36408 48003 48544 64004 72816 96006 97088 128008 145632 192012 194176 256016 291264 384024 388352 512032 582528 592037 656041 768048 1024064 1165056 1184074 1312082 1536096 1776111 1968123 2048128 2368148 2624164 3072192 3552222 3936246 4096256 4736296 5248328 6144384 7104444 7872492 9472592 10496656 12288768 14208888 15744984 18945184 20993312 24273517 28417776 31489968 37890368 41986624 48547034 56835552 62979936 72820551 75780736 83973248 97094068 113671104 125959872 145641102 151561472 167946496 194188136 227342208 251919744 291282204 388376272 454684416 503839488 582564408 776752544 1165128816 1553505088 2330257632 3107010176 4660515264 6214020352 9321030528 18642061056