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23312379840 = 2635193734543
BaseRepresentation
bin10101101101100001…
…101010111111000000
32020011200100121011120
4111231201222333000
5340220432123330
614413133112240
71453462646661
oct255541527700
966150317146
1023312379840
11998325a022
124627328680
132276a02ac9
1411b21a5368
15916966c10
hex56d86afc0

23312379840 has 224 divisors, whose sum is σ = 80020485120. Its totient is φ = 5730103296.

The previous prime is 23312379817. The next prime is 23312379907. The reversal of 23312379840 is 4897321332.

It is a junction number, because it is equal to n+sod(n) for n = 23312379792 and 23312379801.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 657609 + ... + 692151.

Almost surely, 223312379840 is an apocalyptic number.

23312379840 is a gapful number since it is divisible by the number (20) 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 23312379840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40010242560).

23312379840 is an abundant number, since it is smaller than the sum of its proper divisors (56708105280).

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

23312379840 is a wasteful number, since it uses less digits than its factorization.

23312379840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34619 (or 34609 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 42.

The spelling of 23312379840 in words is "twenty-three billion, three hundred twelve million, three hundred seventy-nine thousand, eight hundred forty".