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18679997952 = 2933721123109
BaseRepresentation
bin10001011001011010…
…100010011000000000
31210012211201012212000
4101121122202120000
5301224034413302
612325333104000
71230623235300
oct213132423000
953184635760
1018679997952
117a1640aa40
123753a88000
1319b9088635
14c92c79600
15744e2931c
hex4596a2600

18679997952 has 960 divisors, whose sum is σ = 73891699200. Its totient is φ = 4598415360.

The previous prime is 18679997939. The next prime is 18679997989. The reversal of 18679997952 is 25979997681.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 171376074 + ... + 171376182.

It is an arithmetic number, because the mean of its divisors is an integer number (76970520).

Almost surely, 218679997952 is an apocalyptic number.

18679997952 is a gapful number since it is divisible by the number (12) 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 18679997952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36945849600).

18679997952 is an abundant number, since it is smaller than the sum of its proper divisors (55211701248).

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

18679997952 is a wasteful number, since it uses less digits than its factorization.

18679997952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 155 counting only the distinct ones).

The product of its digits is 154314720, while the sum is 72.

The spelling of 18679997952 in words is "eighteen billion, six hundred seventy-nine million, nine hundred ninety-seven thousand, nine hundred fifty-two".