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23423638680 = 233251333115121
BaseRepresentation
bin10101110100001010…
…000101110010011000
32020110102201010121100
4111310022011302120
5340432422414210
614432145511400
71456313433531
oct256412056230
966412633540
1023423638680
119a30040482
124658642560
132293a89140
1411c2c87688
159215e25c0
hex574285c98

23423638680 has 192 divisors, whose sum is σ = 82235855520. Its totient is φ = 5748019200.

The previous prime is 23423638663. The next prime is 23423638681. The reversal of 23423638680 is 8683632432.

23423638680 is a `hidden beast` number, since 2 + 3 + 4 + 2 + 3 + 638 + 6 + 8 + 0 = 666.

It is a super-2 number, since 2×234236386802 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23423638681) 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, 1541520 + ... + 1556640.

Almost surely, 223423638680 is an apocalyptic number.

23423638680 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 23423638680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41117927760).

23423638680 is an abundant number, since it is smaller than the sum of its proper divisors (58812216840).

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

23423638680 is a wasteful number, since it uses less digits than its factorization.

23423638680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15482 (or 15475 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 23423638680 in words is "twenty-three billion, four hundred twenty-three million, six hundred thirty-eight thousand, six hundred eighty".