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19880990976 = 2837112347311
BaseRepresentation
bin10010100000111111…
…111101100100000000
31220022112120222120010
4102200333331210000
5311204013202401
613044434344520
71302445430550
oct224077754400
956275528503
1019880990976
118482334860
123a2a12b140
131b4ab39ab2
14d68587160
157b55aded6
hex4a0ffd900

19880990976 has 576 divisors, whose sum is σ = 70527614976. Its totient is φ = 4818739200.

The previous prime is 19880990971. The next prime is 19880990981. The reversal of 19880990976 is 67909908891.

It is an interprime number because it is at equal distance from previous prime (19880990971) and next prime (19880990981).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is not an unprimeable number, because it can be changed into a prime (19880990971) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63925861 + ... + 63926171.

It is an arithmetic number, because the mean of its divisors is an integer number (122443776).

Almost surely, 219880990976 is an apocalyptic number.

19880990976 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 19880990976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35263807488).

19880990976 is an abundant number, since it is smaller than the sum of its proper divisors (50646624000).

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

19880990976 is a wasteful number, since it uses less digits than its factorization.

19880990976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 418 (or 404 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 66.

The spelling of 19880990976 in words is "nineteen billion, eight hundred eighty million, nine hundred ninety thousand, nine hundred seventy-six".