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19972338048 = 2733132915329
BaseRepresentation
bin10010100110011100…
…011011000110000000
31220112220110220012000
4102212130123012000
5311400404304143
613101500304000
71304635033545
oct224634330600
956486426160
1019972338048
118519956203
123a54842000
131b63a40c10
14d76764bcc
157bd604bd3
hex4a671b180

19972338048 has 256 divisors, whose sum is σ = 65673720000. Its totient is φ = 5933039616.

The previous prime is 19972338017. The next prime is 19972338049. The reversal of 19972338048 is 84083327991.

19972338048 is a `hidden beast` number, since 199 + 72 + 3 + 380 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 19972337985 and 19972338003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19972338049) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1295248 + ... + 1310576.

Almost surely, 219972338048 is an apocalyptic number.

19972338048 is a gapful number since it is divisible by the number (18) 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 19972338048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32836860000).

19972338048 is an abundant number, since it is smaller than the sum of its proper divisors (45701381952).

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

19972338048 is a wasteful number, since it uses less digits than its factorization.

19972338048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15394 (or 15376 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 19972338048 in words is "nineteen billion, nine hundred seventy-two million, three hundred thirty-eight thousand, forty-eight".