Search a number
-
+
23354137296 = 2433743179603
BaseRepresentation
bin10101110000000000…
…111101101011010000
32020021120221002122000
4111300000331223100
5340312124343141
614421224114000
71454510614560
oct256000755320
966246832560
1023354137296
1199a4890016
124639305900
132282563569
1411b7954da0
1591a4645b6
hex57003dad0

23354137296 has 160 divisors (see below), whose sum is σ = 78393553920. Its totient is φ = 6517397376.

The previous prime is 23354137283. The next prime is 23354137321. The reversal of 23354137296 is 69273145332.

23354137296 is a `hidden beast` number, since 2 + 3 + 354 + 1 + 3 + 7 + 296 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40231 + ... + 219833.

It is an arithmetic number, because the mean of its divisors is an integer number (489959712).

Almost surely, 223354137296 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 23354137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39196776960).

23354137296 is an abundant number, since it is smaller than the sum of its proper divisors (55039416624).

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

23354137296 is a wasteful number, since it uses less digits than its factorization.

23354137296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179670 (or 179658 counting only the distinct ones).

The product of its digits is 816480, while the sum is 45.

The spelling of 23354137296 in words is "twenty-three billion, three hundred fifty-four million, one hundred thirty-seven thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 36 42 43 48 54 56 63 72 84 86 108 112 126 129 144 168 172 189 216 252 258 301 336 344 378 387 432 504 516 602 688 756 774 903 1008 1032 1161 1204 1512 1548 1806 2064 2322 2408 2709 3024 3096 3612 4644 4816 5418 6192 7224 8127 9288 10836 14448 16254 18576 21672 32508 43344 65016 130032 179603 359206 538809 718412 1077618 1257221 1436824 1616427 2155236 2514442 2873648 3232854 3771663 4310472 4849281 5028884 6465708 7543326 7722929 8620944 9698562 10057768 11314989 12931416 15086652 15445858 19397124 20115536 22629978 23168787 25862832 30173304 30891716 33944967 38794248 45259956 46337574 54060503 60346608 61783432 67889934 69506361 77588496 90519912 92675148 108121006 123566864 135779868 139012722 162181509 181039824 185350296 208519083 216242012 271559736 278025444 324363018 370700592 417038166 432484024 486544527 543119472 556050888 648726036 834076332 864968048 973089054 1112101776 1297452072 1459633581 1668152664 1946178108 2594904144 2919267162 3336305328 3892356216 5838534324 7784712432 11677068648 23354137296