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19976785920 = 212335713397
BaseRepresentation
bin10010100110101101…
…011001000000000000
31220120012211212112000
4102212231121000000
5311403024122140
613102135504000
71305020610240
oct224655310000
956505755460
1019976785920
118521413a33
123a56228000
131b6493a5b0
14d771a1b20
157bdbd2a30
hex4a6b59000

19976785920 has 832 divisors, whose sum is σ = 87629283840. Its totient is φ = 4204265472.

The previous prime is 19976785909. The next prime is 19976785937. The reversal of 19976785920 is 2958767991.

It is a tau number, because it is divible by the number of its divisors (832).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 50319162 + ... + 50319558.

Almost surely, 219976785920 is an apocalyptic number.

19976785920 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 19976785920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (43814641920).

19976785920 is an abundant number, since it is smaller than the sum of its proper divisors (67652497920).

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

19976785920 is a wasteful number, since it uses less digits than its factorization.

19976785920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 455 (or 427 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 63.

The spelling of 19976785920 in words is "nineteen billion, nine hundred seventy-six million, seven hundred eighty-five thousand, nine hundred twenty".