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23050505988 = 2234731098941
BaseRepresentation
bin10101011101111010…
…101100111100000100
32012111102121000210000
4111131322230330010
5334201412142423
614331140201300
71444133032236
oct253572547404
965442530700
1023050505988
119859456354
124573699230
132234693973
1411894b8256
158ed989843
hex55deacf04

23050505988 has 120 divisors (see below), whose sum is σ = 61651334360. Its totient is φ = 7507883520.

The previous prime is 23050505981. The next prime is 23050505993. The reversal of 23050505988 is 88950505032.

23050505988 is a `hidden beast` number, since 2 + 3 + 0 + 5 + 0 + 50 + 598 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 7539796224 + 15510709764 = 86832^2 + 124542^2 .

It is a super-2 number, since 2×230505059882 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (23050505981) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2573598 + ... + 2582538.

Almost surely, 223050505988 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 23050505988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30825667180).

23050505988 is an abundant number, since it is smaller than the sum of its proper divisors (38600828372).

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

23050505988 is a wasteful number, since it uses less digits than its factorization.

23050505988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9139 (or 9128 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 45.

The spelling of 23050505988 in words is "twenty-three billion, fifty million, five hundred five thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 81 108 109 146 162 218 219 292 324 327 436 438 654 657 876 981 1308 1314 1962 1971 2628 2943 3924 3942 5886 5913 7884 7957 8829 8941 11772 11826 15914 17658 17882 23652 23871 26823 31828 35316 35764 47742 53646 71613 80469 95484 107292 143226 160938 214839 241407 286452 321876 429678 482814 644517 652693 724221 859356 965628 974569 1289034 1305386 1448442 1949138 1958079 2578068 2610772 2896884 2923707 3898276 3916158 5847414 5874237 7832316 8771121 11694828 11748474 17542242 17622711 23496948 26313363 35084484 35245422 52626726 52868133 70490844 71143537 78940089 105253452 105736266 142287074 157880178 211472532 213430611 284574148 315760356 426861222 640291833 853722444 1280583666 1920875499 2561167332 3841750998 5762626497 7683501996 11525252994 23050505988