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19197349920 = 25355770537
BaseRepresentation
bin10001111000010000…
…000101000000100000
31211112220012102100000
4101320100011000200
5303304010144140
612452533500000
71246504532130
oct217020050040
954486172300
1019197349920
118161449151
1238791a1600
131a6c307768
14d0186aac0
1577556da30
hex478405020

19197349920 has 288 divisors, whose sum is σ = 77643715968. Its totient is φ = 4387903488.

The previous prime is 19197349883. The next prime is 19197349931. The reversal of 19197349920 is 2994379191.

It is a happy number.

19197349920 is a `hidden beast` number, since 191 + 97 + 349 + 9 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 236892 + ... + 307428.

It is an arithmetic number, because the mean of its divisors is an integer number (269596236).

Almost surely, 219197349920 is an apocalyptic number.

19197349920 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 19197349920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38821857984).

19197349920 is an abundant number, since it is smaller than the sum of its proper divisors (58446366048).

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

19197349920 is an equidigital number, since it uses as much as digits as its factorization.

19197349920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70574 (or 70554 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 54.

The spelling of 19197349920 in words is "nineteen billion, one hundred ninety-seven million, three hundred forty-nine thousand, nine hundred twenty".