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23968107840 = 2635192575113
BaseRepresentation
bin10110010100100111…
…000100110101000000
32021212101020000212210
4112110213010311000
5343041313422330
615002155422120
71505644361265
oct262447046500
967771200783
1023968107840
11a18a410196
12478aa54940
13234c811041
1412352d726c
159542e18b0
hex5949c4d40

23968107840 has 224 divisors, whose sum is σ = 80431355520. Its totient is φ = 6030360576.

The previous prime is 23968107803. The next prime is 23968107853. The reversal of 23968107840 is 4870186932.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 23968107840.

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, 4685124 + ... + 4690236.

Almost surely, 223968107840 is an apocalyptic number.

23968107840 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 23968107840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40215677760).

23968107840 is an abundant number, since it is smaller than the sum of its proper divisors (56463247680).

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

23968107840 is a wasteful number, since it uses less digits than its factorization.

23968107840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5409 (or 5399 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 48.

The spelling of 23968107840 in words is "twenty-three billion, nine hundred sixty-eight million, one hundred seven thousand, eight hundred forty".