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23016134016 = 273331214831
BaseRepresentation
bin10101011011110111…
…100101010110000000
32012102000220202022000
4111123313211112000
5334114112242031
614323511344000
71443234624351
oct253367452600
965360822260
1023016134016
11984100a167
124564082000
13222a51aa15
141184acbd28
158ea94a3e6
hex55bde5580

23016134016 has 128 divisors (see below), whose sum is σ = 70121164800. Its totient is φ = 7424524800.

The previous prime is 23016133999. The next prime is 23016134023. The reversal of 23016134016 is 61043161032.

23016134016 is a `hidden beast` number, since 2 + 3 + 0 + 1 + 613 + 40 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 280 + ... + 214551.

It is an arithmetic number, because the mean of its divisors is an integer number (547821600).

Almost surely, 223016134016 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 23016134016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35060582400).

23016134016 is an abundant number, since it is smaller than the sum of its proper divisors (47105030784).

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

23016134016 is a wasteful number, since it uses less digits than its factorization.

23016134016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214885 (or 214867 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

Adding to 23016134016 its reverse (61043161032), we get a palindrome (84059295048).

The spelling of 23016134016 in words is "twenty-three billion, sixteen million, one hundred thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 31 32 36 48 54 62 64 72 93 96 108 124 128 144 186 192 216 248 279 288 372 384 432 496 558 576 744 837 864 992 1116 1152 1488 1674 1728 1984 2232 2976 3348 3456 3968 4464 5952 6696 8928 11904 13392 17856 26784 35712 53568 107136 214831 429662 644493 859324 1288986 1718648 1933479 2577972 3437296 3866958 5155944 5800437 6659761 6874592 7733916 10311888 11600874 13319522 13749184 15467832 19979283 20623776 23201748 26639044 27498368 30935664 39958566 41247552 46403496 53278088 59937849 61871328 79917132 82495104 92806992 106556176 119875698 123742656 159834264 179813547 185613984 213112352 239751396 247485312 319668528 359627094 371227968 426224704 479502792 639337056 719254188 742455936 852449408 959005584 1278674112 1438508376 1918011168 2557348224 2877016752 3836022336 5754033504 7672044672 11508067008 23016134016