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23160374480 = 2454359114113
BaseRepresentation
bin10101100100011101…
…110100010011010000
32012210002022221000102
4111210131310103100
5334413023440410
614350103111532
71446635635445
oct254435642320
965702287012
1023160374480
119905478161
1245a44425a8
1322513811c9
141199d179cc
1590843d2a5
hex5647744d0

23160374480 has 80 divisors (see below), whose sum is σ = 56034538560. Its totient is φ = 8895258624.

The previous prime is 23160374467. The next prime is 23160374483. The reversal of 23160374480 is 8447306132.

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23160374483) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145904 + ... + 260016.

It is an arithmetic number, because the mean of its divisors is an integer number (700431732).

Almost surely, 223160374480 is an apocalyptic number.

23160374480 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 23160374480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28017269280).

23160374480 is an abundant number, since it is smaller than the sum of its proper divisors (32874164080).

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

23160374480 is a wasteful number, since it uses less digits than its factorization.

23160374480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 114228 (or 114222 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 38.

The spelling of 23160374480 in words is "twenty-three billion, one hundred sixty million, three hundred seventy-four thousand, four hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 43 59 80 86 118 172 215 236 295 344 430 472 590 688 860 944 1180 1720 2360 2537 3440 4720 5074 10148 12685 20296 25370 40592 50740 101480 114113 202960 228226 456452 570565 912904 1141130 1825808 2282260 4564520 4906859 6732667 9129040 9813718 13465334 19627436 24534295 26930668 33663335 39254872 49068590 53861336 67326670 78509744 98137180 107722672 134653340 196274360 269306680 289504681 392548720 538613360 579009362 1158018724 1447523405 2316037448 2895046810 4632074896 5790093620 11580187240 23160374480