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19957359744 = 273372117851
BaseRepresentation
bin10010100101100011…
…010010010010000000
31220111212021220211000
4102211203102102000
5311333041002434
613100203252000
71304363521200
oct224543222200
956455256730
1019957359744
118511455843
123a4b81a000
131b608c840a
14d74786400
157bc146b99
hex4a58d2480

19957359744 has 192 divisors, whose sum is σ = 68519152800. Its totient is φ = 5702054400.

The previous prime is 19957359743. The next prime is 19957359757. The reversal of 19957359744 is 44795375991.

19957359744 is a `hidden beast` number, since 1 + 9 + 9 + 573 + 59 + 7 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

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

It is not an unprimeable number, because it can be changed into a prime (19957359743) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110419 + ... + 228269.

Almost surely, 219957359744 is an apocalyptic number.

19957359744 is a gapful number since it is divisible by the number (14) 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 19957359744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34259576400).

19957359744 is an abundant number, since it is smaller than the sum of its proper divisors (48561793056).

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

19957359744 is a wasteful number, since it uses less digits than its factorization.

19957359744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117888 (or 117863 counting only the distinct ones).

The product of its digits is 42865200, while the sum is 63.

The spelling of 19957359744 in words is "nineteen billion, nine hundred fifty-seven million, three hundred fifty-nine thousand, seven hundred forty-four".