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19197437952 = 2113721121731
BaseRepresentation
bin10001111000010000…
…011010100000000000
31211112220100220002110
4101320100122200000
5303304021003302
612452535415320
71246505346600
oct217020324000
954486326073
1019197437952
1181614a9300
123879224540
131a6c338854
14d01890c00
15775589b6c
hex47841a800

19197437952 has 864 divisors, whose sum is σ = 71525825280. Its totient is φ = 4541644800.

The previous prime is 19197437881. The next prime is 19197437977. The reversal of 19197437952 is 25973479191.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 19197437892 and 19197437901.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 619272177 + ... + 619272207.

It is an arithmetic number, because the mean of its divisors is an integer number (82784520).

Almost surely, 219197437952 is an apocalyptic number.

19197437952 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 19197437952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35762912640).

19197437952 is an abundant number, since it is smaller than the sum of its proper divisors (52328387328).

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

19197437952 is a wasteful number, since it uses less digits than its factorization.

19197437952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109 (or 71 counting only the distinct ones).

The product of its digits is 4286520, while the sum is 57.

The spelling of 19197437952 in words is "nineteen billion, one hundred ninety-seven million, four hundred thirty-seven thousand, nine hundred fifty-two".