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23468084640 = 253757111367
BaseRepresentation
bin10101110110110011…
…101000110110100000
32020120112100020000000
4111312303220312200
5341030312202030
614440414300000
71460363266560
oct256663506640
966515306000
1023468084640
119a53138380
12466b4b7600
1322a004b520
1411c8b36da0
15925471860
hex576ce8da0

23468084640 has 1536 divisors, whose sum is σ = 113311457280. Its totient is φ = 4434186240.

The previous prime is 23468084561. The next prime is 23468084657. The reversal of 23468084640 is 4648086432.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 350269887 + ... + 350269953.

It is an arithmetic number, because the mean of its divisors is an integer number (73770480).

Almost surely, 223468084640 is an apocalyptic number.

23468084640 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 23468084640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56655728640).

23468084640 is an abundant number, since it is smaller than the sum of its proper divisors (89843372640).

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

23468084640 is a wasteful number, since it uses less digits than its factorization.

23468084640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 108 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 45.

The spelling of 23468084640 in words is "twenty-three billion, four hundred sixty-eight million, eighty-four thousand, six hundred forty".