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18992196960 = 2535115636389
BaseRepresentation
bin10001101100000001…
…011110110101100000
31211000121011120101020
4101230001132311200
5302344000300320
612420324405440
71241434003422
oct215401366540
954017146336
1018992196960
118066666750
123820546880
131a38967b89
14cc2506812
15762547940
hex46c05ed60

18992196960 has 192 divisors, whose sum is σ = 65390250240. Its totient is φ = 4595271680.

The previous prime is 18992196953. The next prime is 18992196983. The reversal of 18992196960 is 6969129981.

It is a super-3 number, since 3×189921969603 (a number of 32 digits) contains 333 as substring.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 18992196894 and 18992196903.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2969446 + ... + 2975834.

It is an arithmetic number, because the mean of its divisors is an integer number (340574220).

Almost surely, 218992196960 is an apocalyptic number.

18992196960 is a gapful number since it is divisible by the number (10) 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 18992196960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32695125120).

18992196960 is an abundant number, since it is smaller than the sum of its proper divisors (46398053280).

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

18992196960 is a wasteful number, since it uses less digits than its factorization.

18992196960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6981 (or 6973 counting only the distinct ones).

The product of its (nonzero) digits is 3779136, while the sum is 60.

The spelling of 18992196960 in words is "eighteen billion, nine hundred ninety-two million, one hundred ninety-six thousand, nine hundred sixty".