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23025640656 = 24319471793001
BaseRepresentation
bin10101011100011011…
…110110010011010000
32012102200210201221210
4111130123312103100
5334124031000111
614324451220120
71443411500454
oct253433662320
965380721853
1023025640656
119846412697
1245672a7640
13222c498b55
141186084664
158eb6c70a6
hex55c6f64d0

23025640656 has 160 divisors (see below), whose sum is σ = 64324454400. Its totient is φ = 7074432000.

The previous prime is 23025640579. The next prime is 23025640657. The reversal of 23025640656 is 65604652032.

It is a super-2 number, since 2×230256406562 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23025640657) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7671156 + ... + 7674156.

It is an arithmetic number, because the mean of its divisors is an integer number (402027840).

Almost surely, 223025640656 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 23025640656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32162227200).

23025640656 is an abundant number, since it is smaller than the sum of its proper divisors (41298813744).

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

23025640656 is a wasteful number, since it uses less digits than its factorization.

23025640656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3257 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 39.

The spelling of 23025640656 in words is "twenty-three billion, twenty-five million, six hundred forty thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 47 48 57 76 94 114 141 152 179 188 228 282 304 358 376 456 537 564 716 752 893 912 1074 1128 1432 1786 2148 2256 2679 2864 3001 3401 3572 4296 5358 6002 6802 7144 8413 8592 9003 10203 10716 12004 13604 14288 16826 18006 20406 21432 24008 25239 27208 33652 36012 40812 42864 48016 50478 54416 57019 67304 72024 81624 100956 114038 134608 141047 144048 159847 163248 171057 201912 228076 282094 319694 342114 403824 423141 456152 479541 537179 564188 639388 684228 846282 912304 959082 1074358 1128376 1278776 1368456 1611537 1692564 1918164 2148716 2256752 2557552 2679893 2736912 3223074 3385128 3836328 4297432 5359786 6446148 6770256 7672656 8039679 8594864 10206401 10719572 12892296 16079358 20412802 21439144 25247413 25784592 30619203 32158716 40825604 42878288 50494826 61238406 64317432 75742239 81651208 100989652 122476812 128634864 151484478 163302416 201979304 244953624 302968956 403958608 479700847 489907248 605937912 959401694 1211875824 1439102541 1918803388 2878205082 3837606776 5756410164 7675213552 11512820328 23025640656