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19974103632 = 2434721512083
BaseRepresentation
bin10010100110100011…
…001010001001010000
31220120000210121010000
4102212203022021100
5311401332304012
613102002210000
71304656036200
oct224643121120
956500717100
1019974103632
11851a95176a
123a55353900
131b6420b742
14d76aa4400
157bd852ddc
hex4a68ca250

19974103632 has 300 divisors, whose sum is σ = 67727215776. Its totient is φ = 5666371200.

The previous prime is 19974103603. The next prime is 19974103673. The reversal of 19974103632 is 23630147991.

19974103632 is a `hidden beast` number, since 1 + 9 + 9 + 7 + 4 + 1 + 0 + 3 + 632 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 9588063 + ... + 9590145.

Almost surely, 219974103632 is an apocalyptic number.

19974103632 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 19974103632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33863607888).

19974103632 is an abundant number, since it is smaller than the sum of its proper divisors (47753112144).

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

19974103632 is a wasteful number, since it uses less digits than its factorization.

19974103632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2268 (or 2246 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 19974103632 in words is "nineteen billion, nine hundred seventy-four million, one hundred three thousand, six hundred thirty-two".