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23024775424 = 287218110141
BaseRepresentation
bin10101011100011000…
…100011000100000000
32012102122011210002011
4111130120203010000
5334123320303144
614324420502304
71443401235100
oct253430430400
965378153064
1023024775424
119845981622
124566b4a994
13222c255091
141185cdb200
158eb5a5a34
hex55c623100

23024775424 has 108 divisors (see below), whose sum is σ = 53763898188. Its totient is φ = 9812275200.

The previous prime is 23024775409. The next prime is 23024775451. The reversal of 23024775424 is 42457742032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1662029824 + 21362745600 = 40768^2 + 146160^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2265394 + ... + 2275534.

Almost surely, 223024775424 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23024775424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26881949094).

23024775424 is an abundant number, since it is smaller than the sum of its proper divisors (30739122764).

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

23024775424 is a wasteful number, since it uses less digits than its factorization.

23024775424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10352 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 40.

The spelling of 23024775424 in words is "twenty-three billion, twenty-four million, seven hundred seventy-five thousand, four hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 181 196 224 256 362 392 448 724 784 896 1267 1448 1568 1792 2534 2896 3136 5068 5792 6272 8869 10136 10141 11584 12544 17738 20272 20282 23168 35476 40544 40564 46336 70952 70987 81088 81128 141904 141974 162176 162256 283808 283948 324352 324512 496909 567616 567896 649024 993818 1135232 1135792 1298048 1835521 1987636 2270464 2271584 2596096 3671042 3975272 4543168 7342084 7950544 9086336 12848647 14684168 15901088 18172672 25697294 29368336 31802176 51394588 58736672 63604352 89940529 102789176 117473344 127208704 179881058 205578352 234946688 359762116 411156704 469893376 719524232 822313408 1439048464 1644626816 2878096928 3289253632 5756193856 11512387712 23024775424