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19939848192 = 212331137443
BaseRepresentation
bin10010100100100000…
…011111000000000000
31220110122100020111000
4102210200133000000
5311314100120232
613054340052000
71304061625125
oct224440370000
956418306430
1019939848192
118502585090
123a45994000
131b5a0a6854
14d7230874c
157ba83827c
hex4a481f000

19939848192 has 416 divisors, whose sum is σ = 66335304960. Its totient is φ = 5865799680.

The previous prime is 19939848127. The next prime is 19939848197. The reversal of 19939848192 is 29184893991.

19939848192 is a `hidden beast` number, since 19 + 9 + 398 + 48 + 192 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19939848197) 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, 45010723 + ... + 45011165.

Almost surely, 219939848192 is an apocalyptic number.

19939848192 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 19939848192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33167652480).

19939848192 is an abundant number, since it is smaller than the sum of its proper divisors (46395456768).

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

19939848192 is a wasteful number, since it uses less digits than its factorization.

19939848192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524 (or 496 counting only the distinct ones).

The product of its digits is 10077696, while the sum is 63.

The spelling of 19939848192 in words is "nineteen billion, nine hundred thirty-nine million, eight hundred forty-eight thousand, one hundred ninety-two".