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18868001696 = 253153383937
BaseRepresentation
bin10001100100100111…
…101101101110100000
31210200221110210111122
4101210213231232200
5302120202023241
612400130431412
71235365240205
oct214447555640
953627423448
1018868001696
118002549a35
1237a6a32568
131a1900255b
14cadc17cac
157566b404b
hex4649edba0

18868001696 has 96 divisors (see below), whose sum is σ = 39211941888. Its totient is φ = 8924497920.

The previous prime is 18868001689. The next prime is 18868001717. The reversal of 18868001696 is 69610086881.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (53).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20136140 + ... + 20137076.

It is an arithmetic number, because the mean of its divisors is an integer number (408457728).

Almost surely, 218868001696 is an apocalyptic number.

18868001696 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 18868001696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19605970944).

18868001696 is an abundant number, since it is smaller than the sum of its proper divisors (20343940192).

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

18868001696 is a wasteful number, since it uses less digits than its factorization.

18868001696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1414 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 53.

The spelling of 18868001696 in words is "eighteen billion, eight hundred sixty-eight million, one thousand, six hundred ninety-six".

Divisors: 1 2 4 8 16 31 32 53 62 106 124 212 248 383 424 496 766 848 937 992 1532 1643 1696 1874 3064 3286 3748 6128 6572 7496 11873 12256 13144 14992 20299 23746 26288 29047 29984 40598 47492 49661 52576 58094 81196 94984 99322 116188 162392 189968 198644 232376 324784 358871 379936 397288 464752 629269 649568 717742 794576 929504 1258538 1435484 1539491 1589152 2517076 2870968 3078982 5034152 5741936 6157964 10068304 11125001 11483872 12315928 19020163 20136608 22250002 24631856 38040326 44500004 49263712 76080652 89000008 152161304 178000016 304322608 356000032 589625053 608645216 1179250106 2358500212 4717000424 9434000848 18868001696