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19973479680 = 2832571122389
BaseRepresentation
bin10010100110100000…
…110001110100000000
31220112222121220012200
4102212200301310000
5311401202322210
613101540553200
71304650530120
oct224640616400
956488556180
1019973479680
11851a565a00
123a550b2800
131b6405073b
14d76980c80
157bd77d0c0
hex4a6831d00

19973479680 has 1296 divisors, whose sum is σ = 91603249920. Its totient is φ = 3925278720.

The previous prime is 19973479663. The next prime is 19973479699. The reversal of 19973479680 is 8697437991.

19973479680 is a `hidden beast` number, since 1 + 99 + 73 + 479 + 6 + 8 + 0 = 666.

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 143 ways as a sum of consecutive naturals, for example, 224421076 + ... + 224421164.

It is an arithmetic number, because the mean of its divisors is an integer number (70681520).

Almost surely, 219973479680 is an apocalyptic number.

19973479680 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 19973479680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45801624960).

19973479680 is an abundant number, since it is smaller than the sum of its proper divisors (71629770240).

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

19973479680 is a wasteful number, since it uses less digits than its factorization.

19973479680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 140 counting only the distinct ones).

The product of its (nonzero) digits is 20575296, while the sum is 63.

The spelling of 19973479680 in words is "nineteen billion, nine hundred seventy-three million, four hundred seventy-nine thousand, six hundred eighty".