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19742022432 = 2534116111351
BaseRepresentation
bin10010011000101101…
…110101101100100000
31212221212002122120000
4102120231311230200
5310412424204212
613022552020000
71266140264466
oct223055655440
955855078500
1019742022432
118410947720
1239ab691600
131b281010a2
14d53d30836
157a82ad1dc
hex498b75b20

19742022432 has 240 divisors, whose sum is σ = 64383004224. Its totient is φ = 5883840000.

The previous prime is 19742022427. The next prime is 19742022449. The reversal of 19742022432 is 23422024791.

It is a happy number.

19742022432 is a `hidden beast` number, since 1 + 9 + 7 + 420 + 224 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1733557 + ... + 1744907.

Almost surely, 219742022432 is an apocalyptic number.

19742022432 is a gapful number since it is divisible by the number (12) 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 19742022432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32191502112).

19742022432 is an abundant number, since it is smaller than the sum of its proper divisors (44640981792).

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

19742022432 is a wasteful number, since it uses less digits than its factorization.

19742022432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11445 (or 11428 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 19742022432 in words is "nineteen billion, seven hundred forty-two million, twenty-two thousand, four hundred thirty-two".