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19919402976 = 25311531512357
BaseRepresentation
bin10010100011010010…
…011111011111100000
31220102012212111220210
4102203102133133200
5311243331343401
613052325534120
71303423063104
oct224322373740
956365774823
1019919402976
1184a1a90310
123a3ab74340
131b55a988a5
14d6d705904
157b8b4a4d6
hex4a349f7e0

19919402976 has 192 divisors, whose sum is σ = 58527899136. Its totient is φ = 5880576000.

The previous prime is 19919402959. The next prime is 19919403001. The reversal of 19919402976 is 67920491991.

It is a super-2 number, since 2×199194029762 (a number of 21 digits) contains 22 as substring.

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, 8449990 + ... + 8452346.

It is an arithmetic number, because the mean of its divisors is an integer number (304832808).

Almost surely, 219919402976 is an apocalyptic number.

19919402976 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 19919402976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29263949568).

19919402976 is an abundant number, since it is smaller than the sum of its proper divisors (38608496160).

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

19919402976 is a wasteful number, since it uses less digits than its factorization.

19919402976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2585 (or 2577 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 57.

The spelling of 19919402976 in words is "nineteen billion, nine hundred nineteen million, four hundred two thousand, nine hundred seventy-six".