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23794357440 = 2635723153949
BaseRepresentation
bin10110001010010000…
…010001010011000000
32021102021021121010210
4112022100101103000
5342212323414230
614533031354120
71501434462330
oct261220212300
967367247123
1023794357440
11a100326a17
124740822940
132322817959
14121a1c90c0
15943e1eeb0
hex58a4114c0

23794357440 has 224 divisors, whose sum is σ = 90094003200. Its totient is φ = 5202210816.

The previous prime is 23794357429. The next prime is 23794357441. The reversal of 23794357440 is 4475349732.

It is a tau number, because it is divible by the number of its divisors (224).

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 23794357440.

It is not an unprimeable number, because it can be changed into a prime (23794357441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 77586 + ... + 231534.

Almost surely, 223794357440 is an apocalyptic number.

23794357440 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 23794357440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (45047001600).

23794357440 is an abundant number, since it is smaller than the sum of its proper divisors (66299645760).

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

23794357440 is a wasteful number, since it uses less digits than its factorization.

23794357440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153999 (or 153989 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 23794357440 in words is "twenty-three billion, seven hundred ninety-four million, three hundred fifty-seven thousand, four hundred forty".