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18661531328 = 261131783621
BaseRepresentation
bin10001011000010100…
…000101111011000000
31210011112222000101222
4101120110011323000
5301204323000303
612323433214212
71230310253606
oct213024057300
953145860358
1018661531328
117a06a47770
123749861368
1319b52c113b
14c9062d876
157434cc938
hex458505ec0

18661531328 has 56 divisors (see below), whose sum is σ = 40525897104. Its totient is φ = 8455654400.

The previous prime is 18661531313. The next prime is 18661531333. The reversal of 18661531328 is 82313516681.

It is a Harshad number since it is a multiple of its sum of digits (44).

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 7 ways as a sum of consecutive naturals, for example, 181358 + ... + 264978.

It is an arithmetic number, because the mean of its divisors is an integer number (723676734).

Almost surely, 218661531328 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 18661531328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20262948552).

18661531328 is an abundant number, since it is smaller than the sum of its proper divisors (21864365776).

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

18661531328 is a wasteful number, since it uses less digits than its factorization.

18661531328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83961 (or 83951 counting only the distinct ones).

The product of its digits is 207360, while the sum is 44.

The spelling of 18661531328 in words is "eighteen billion, six hundred sixty-one million, five hundred thirty-one thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 176 317 352 634 704 1268 2536 3487 5072 6974 10144 13948 20288 27896 55792 83621 111584 167242 223168 334484 668968 919831 1337936 1839662 2675872 3679324 5351744 7358648 14717296 26507857 29434592 53015714 58869184 106031428 212062856 291586427 424125712 583172854 848251424 1166345708 1696502848 2332691416 4665382832 9330765664 18661531328