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20341233792 = 2732113153977
BaseRepresentation
bin10010111100011011…
…101001100010000000
31221111121121202000100
4102330123221202000
5313124323440132
613202235122400
71320034430415
oct227433514200
957447552010
1020341233792
118699107020
123b382a3400
131bc22b1a19
14dad75010c
157e0bc237c
hex4bc6e9880

20341233792 has 384 divisors, whose sum is σ = 67227563520. Its totient is φ = 5846630400.

The previous prime is 20341233779. The next prime is 20341233799. The reversal of 20341233792 is 29733214302.

20341233792 is a `hidden beast` number, since 203 + 412 + 3 + 37 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (20341233799) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20819608 + ... + 20820584.

It is an arithmetic number, because the mean of its divisors is an integer number (175071780).

Almost surely, 220341233792 is an apocalyptic number.

20341233792 is a gapful number since it is divisible by the number (22) 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 20341233792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33613781760).

20341233792 is an abundant number, since it is smaller than the sum of its proper divisors (46886329728).

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

20341233792 is a wasteful number, since it uses less digits than its factorization.

20341233792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092 (or 1077 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 36.

The spelling of 20341233792 in words is "twenty billion, three hundred forty-one million, two hundred thirty-three thousand, seven hundred ninety-two".