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23096704576 = 261141572
BaseRepresentation
bin10101100000101010…
…111011111001000000
32012121122112011022211
4111200222323321000
5334300224021301
614335510311504
71445233515061
oct254052737100
965548464284
1023096704576
119882540000
124587058594
13224111a9ca
1411916a2568
15902a63051
hex560abbe40

23096704576 has 105 divisors (see below), whose sum is σ = 50738625345. Its totient is φ = 10431632640.

The previous prime is 23096704573. The next prime is 23096704591. The reversal of 23096704576 is 67540769032.

The square root of 23096704576 is 151976.

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

It can be written as a sum of positive squares in only one way, i.e., 6769998400 + 16326706176 = 82280^2 + 127776^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (23096704573) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 147112690 + ... + 147112846.

Almost surely, 223096704576 is an apocalyptic number.

23096704576 is the 151976-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23096704576

23096704576 is an abundant number, since it is smaller than the sum of its proper divisors (27641920769).

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

23096704576 is an frugal number, since it uses more digits than its factorization.

23096704576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 370 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1905120, while the sum is 49.

Multiplying 23096704576 by its sum of digits (49), we get a square (1131738524224 = 10638322).

The spelling of 23096704576 in words is "twenty-three billion, ninety-six million, seven hundred four thousand, five hundred seventy-six".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 157 176 242 314 352 484 628 704 968 1256 1331 1727 1936 2512 2662 3454 3872 5024 5324 6908 7744 10048 10648 13816 14641 18997 21296 24649 27632 29282 37994 42592 49298 55264 58564 75988 85184 98596 110528 117128 151976 197192 208967 234256 271139 303952 394384 417934 468512 542278 607904 788768 835868 937024 1084556 1215808 1577536 1671736 2169112 2298637 2982529 3343472 4338224 4597274 5965058 6686944 8676448 9194548 11930116 13373888 17352896 18389096 23860232 32807819 36778192 47720464 65615638 73556384 95440928 131231276 147112768 190881856 262462552 360886009 524925104 721772018 1049850208 1443544036 2099700416 2887088072 5774176144 11548352288 23096704576