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19947812976 = 2434721373331
BaseRepresentation
bin10010100100111110…
…110111100001110000
31220111012022220010000
4102210332313201300
5311323120003401
613055222510000
71304216420100
oct224476674160
956435286100
1019947812976
118507025153
123a48595300
131b5b934c40
14d733bd200
157bb3ad186
hex4a4fb7870

19947812976 has 600 divisors, whose sum is σ = 73539345264. Its totient is φ = 5173217280.

The previous prime is 19947812933. The next prime is 19947812977. The reversal of 19947812976 is 67921874991.

19947812976 is a `hidden beast` number, since 1 + 99 + 478 + 1 + 2 + 9 + 76 = 666.

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19947812977) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 60265131 + ... + 60265461.

Almost surely, 219947812976 is an apocalyptic number.

19947812976 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 19947812976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36769672632).

19947812976 is an abundant number, since it is smaller than the sum of its proper divisors (53591532288).

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

19947812976 is a wasteful number, since it uses less digits than its factorization.

19947812976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 451 (or 429 counting only the distinct ones).

The product of its digits is 13716864, while the sum is 63.

The spelling of 19947812976 in words is "nineteen billion, nine hundred forty-seven million, eight hundred twelve thousand, nine hundred seventy-six".