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23006065152 = 293716313127
BaseRepresentation
bin10101011011010001…
…001011001000000000
32012101022222012102010
4111123101023020000
5334104023041102
614322511452520
71443053220150
oct253321131000
965338865363
1023006065152
119836362294
124560827140
132228403a05
14118362a760
158e9b0bd6c
hex55b44b200

23006065152 has 160 divisors (see below), whose sum is σ = 70480346112. Its totient is φ = 6532337664.

The previous prime is 23006065151. The next prime is 23006065189. The reversal of 23006065152 is 25156060032.

It is not an unprimeable number, because it can be changed into a prime (23006065151) by changing a digit.

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, 1746013 + ... + 1759139.

Almost surely, 223006065152 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 23006065152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35240173056).

23006065152 is an abundant number, since it is smaller than the sum of its proper divisors (47474280960).

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

23006065152 is a wasteful number, since it uses less digits than its factorization.

23006065152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13318 (or 13302 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 30.

The spelling of 23006065152 in words is "twenty-three billion, six million, sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 163 168 192 224 256 326 336 384 448 489 512 652 672 768 896 978 1141 1304 1344 1536 1792 1956 2282 2608 2688 3423 3584 3912 4564 5216 5376 6846 7824 9128 10432 10752 13127 13692 15648 18256 20864 26254 27384 31296 36512 39381 41728 52508 54768 62592 73024 78762 83456 91889 105016 109536 125184 146048 157524 183778 210032 219072 250368 275667 292096 315048 367556 420064 438144 551334 584192 630096 735112 840128 876288 1102668 1260192 1470224 1680256 1752576 2139701 2205336 2520384 2940448 3360512 4279402 4410672 5040768 5880896 6419103 6721024 8558804 8821344 10081536 11761792 12838206 14977907 17117608 17642688 20163072 23523584 25676412 29955814 34235216 35285376 44933721 47047168 51352824 59911628 68470432 70570752 89867442 102705648 119823256 136940864 141141504 179734884 205411296 239646512 273881728 359469768 410822592 479293024 547763456 718939536 821645184 958586048 1095526912 1437879072 1643290368 1917172096 2875758144 3286580736 3834344192 5751516288 7668688384 11503032576 23006065152