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23358436608 = 283134354409
BaseRepresentation
bin10101110000010001…
…010111010100000000
32020021220000112011210
4111300101113110000
5340314224432413
614421500210120
71454562302163
oct256021272400
966256015153
1023358436608
1199a7257171
12463a839940
13228340a430
1411b8353ada
1591aa133c3
hex570457500

23358436608 has 144 divisors (see below), whose sum is σ = 68507848640. Its totient is φ = 7019937792.

The previous prime is 23358436579. The next prime is 23358436631. The reversal of 23358436608 is 80663485332.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 402108 + ... + 456516.

Almost surely, 223358436608 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 23358436608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34253924320).

23358436608 is an abundant number, since it is smaller than the sum of its proper divisors (45149412032).

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

23358436608 is a wasteful number, since it uses less digits than its factorization.

23358436608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54484 (or 54470 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 48.

The spelling of 23358436608 in words is "twenty-three billion, three hundred fifty-eight million, four hundred thirty-six thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 43 48 52 64 78 86 96 104 128 129 156 172 192 208 256 258 312 344 384 416 516 559 624 688 768 832 1032 1118 1248 1376 1664 1677 2064 2236 2496 2752 3328 3354 4128 4472 4992 5504 6708 8256 8944 9984 11008 13416 16512 17888 26832 33024 35776 53664 54409 71552 107328 108818 143104 163227 214656 217636 326454 429312 435272 652908 707317 870544 1305816 1414634 1741088 2121951 2339587 2611632 2829268 3482176 4243902 4679174 5223264 5658536 6964352 7018761 8487804 9358348 10446528 11317072 13928704 14037522 16975608 18716696 20893056 22634144 28075044 30414631 33951216 37433392 41786112 45268288 56150088 60829262 67902432 74866784 90536576 91243893 112300176 121658524 135804864 149733568 181073152 182487786 224600352 243317048 271609728 299467136 364975572 449200704 486634096 543219456 598934272 729951144 898401408 973268192 1459902288 1796802816 1946536384 2919804576 3893072768 5839609152 7786145536 11679218304 23358436608