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23258690064 = 24327121792
BaseRepresentation
bin10101101010010100…
…110111001000010000
32020000221022212122100
4111222110313020100
5340113211040224
614403534240400
71452241414011
oct255224671020
966027285570
1023258690064
119955a19105
124611356100
1322688550cc
1411a8dcb008
15911dadac9
hex56a537210

23258690064 has 135 divisors (see below), whose sum is σ = 66392627119. Its totient is φ = 7600998720.

The previous prime is 23258690047. The next prime is 23258690069. The reversal of 23258690064 is 46009685232.

The square root of 23258690064 is 152508.

It is a perfect power (a square), and thus also a powerful number.

23258690064 is a `hidden beast` number, since 2 + 3 + 2 + 586 + 9 + 0 + 0 + 64 = 666.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23258690069) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 129936727 + ... + 129936905.

Almost surely, 223258690064 is an apocalyptic number.

23258690064 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

23258690064 is the 152508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23258690064

23258690064 is an abundant number, since it is smaller than the sum of its proper divisors (43133937055).

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

23258690064 is an equidigital number, since it uses as much as digits as its factorization.

23258690064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 514 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 23258690064 in words is "twenty-three billion, two hundred fifty-eight million, six hundred ninety thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 179 213 284 358 426 537 568 639 716 852 1074 1136 1278 1432 1611 1704 2148 2556 2864 3222 3408 4296 5041 5112 6444 8592 10082 10224 12709 12888 15123 20164 25418 25776 30246 32041 38127 40328 45369 50836 60492 64082 76254 80656 90738 96123 101672 114381 120984 128164 152508 181476 192246 203344 228762 241968 256328 288369 305016 362952 384492 457524 512656 576738 610032 725904 768984 902339 915048 1153476 1537968 1804678 1830096 2274911 2306952 2707017 3609356 4549822 4613904 5414034 6824733 7218712 8121051 9099644 10828068 13649466 14437424 16242102 18199288 20474199 21656136 27298932 32484204 36398576 40948398 43312272 54597864 64968408 81896796 109195728 129936816 161518681 163793592 323037362 327587184 484556043 646074724 969112086 1292149448 1453668129 1938224172 2584298896 2907336258 3876448344 5814672516 7752896688 11629345032 23258690064