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19940933520 = 24325314379263
BaseRepresentation
bin10010100100100100…
…100111111110010000
31220110201101101021100
4102210210213332100
5311314334333040
613054415224400
71304104065264
oct224444477620
956421341240
1019940933520
118503156552
123a46218100
131b5a396861
14d7250c0a4
157ba99eb30
hex4a4927f90

19940933520 has 480 divisors, whose sum is σ = 71903969280. Its totient is φ = 4943877120.

The previous prime is 19940933503. The next prime is 19940933531. The reversal of 19940933520 is 2533904991.

19940933520 is a `hidden beast` number, since 1 + 9 + 94 + 0 + 9 + 33 + 520 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 75820909 + ... + 75821171.

It is an arithmetic number, because the mean of its divisors is an integer number (149799936).

Almost surely, 219940933520 is an apocalyptic number.

19940933520 is a gapful number since it is divisible by the number (10) 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 19940933520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35951984640).

19940933520 is an abundant number, since it is smaller than the sum of its proper divisors (51963035760).

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

19940933520 is a wasteful number, since it uses less digits than its factorization.

19940933520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 435 (or 426 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 19940933520 in words is "nineteen billion, nine hundred forty million, nine hundred thirty-three thousand, five hundred twenty".