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20379810192 = 2437233197877
BaseRepresentation
bin10010111110101110…
…110011100110010000
31221121022012121212220
4102332232303212100
5313214212411232
613210134021040
71321013346150
oct227656634620
957538177786
1020379810192
118708965045
123b491a7780
131bca29a5b1
14db4912760
157e429242c
hex4bebb3990

20379810192 has 320 divisors, whose sum is σ = 65553137664. Its totient is φ = 5328322560.

The previous prime is 20379810167. The next prime is 20379810211. The reversal of 20379810192 is 29101897302.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 23237658 + ... + 23238534.

Almost surely, 220379810192 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20379810192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32776568832).

20379810192 is an abundant number, since it is smaller than the sum of its proper divisors (45173327472).

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

20379810192 is a wasteful number, since it uses less digits than its factorization.

20379810192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1046 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 42.

The spelling of 20379810192 in words is "twenty billion, three hundred seventy-nine million, eight hundred ten thousand, one hundred ninety-two".