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23064220512 = 25324713113007
BaseRepresentation
bin10101011110101111…
…000001001101100000
32012112101101210120100
4111132233001031200
5334213420024022
614332350142400
71444360432254
oct253657011540
965471353510
1023064220512
119866173273
1245781b1a00
132237486178
14118b248264
158eec981ac
hex55ebc1360

23064220512 has 144 divisors (see below), whose sum is σ = 67500905472. Its totient is φ = 7466484480.

The previous prime is 23064220489. The next prime is 23064220583. The reversal of 23064220512 is 21502246032.

It is a happy number.

23064220512 is a `hidden beast` number, since 2 + 3 + 0 + 642 + 2 + 0 + 5 + 12 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1766713 + ... + 1779719.

It is an arithmetic number, because the mean of its divisors is an integer number (468756288).

Almost surely, 223064220512 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 23064220512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33750452736).

23064220512 is an abundant number, since it is smaller than the sum of its proper divisors (44436684960).

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

23064220512 is a wasteful number, since it uses less digits than its factorization.

23064220512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13201 (or 13190 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

Adding to 23064220512 its reverse (21502246032), we get a palindrome (44566466544).

The spelling of 23064220512 in words is "twenty-three billion, sixty-four million, two hundred twenty thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 72 94 96 131 141 144 188 262 282 288 376 393 423 524 564 752 786 846 1048 1128 1179 1504 1572 1692 2096 2256 2358 3144 3384 4192 4512 4716 6157 6288 6768 9432 12314 12576 13007 13536 18471 18864 24628 26014 36942 37728 39021 49256 52028 55413 73884 78042 98512 104056 110826 117063 147768 156084 197024 208112 221652 234126 295536 312168 416224 443304 468252 591072 611329 624336 886608 936504 1222658 1248672 1703917 1773216 1833987 1873008 2445316 3407834 3667974 3746016 4890632 5111751 5501961 6815668 7335948 9781264 10223502 11003922 13631336 14671896 15335253 19562528 20447004 22007844 27262672 29343792 30670506 40894008 44015688 54525344 58687584 61341012 80084099 81788016 88031376 122682024 160168198 163576032 176062752 240252297 245364048 320336396 480504594 490728096 640672792 720756891 961009188 1281345584 1441513782 1922018376 2562691168 2883027564 3844036752 5766055128 7688073504 11532110256 23064220512