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23538834018 = 23272315153791
BaseRepresentation
bin10101111011000001…
…100001101001100010
32020202110110122220100
4111323001201221202
5341201420142033
614451422523230
71462212534150
oct257301415142
966673418810
1023538834018
119a8a070437
12468b136516
1322b18c016b
1411d42b23d0
1592b799513
hex57b061a62

23538834018 has 96 divisors (see below), whose sum is σ = 61224763392. Its totient is φ = 6390252000.

The previous prime is 23538834017. The next prime is 23538834107. The reversal of 23538834018 is 81043883532.

23538834018 is a `hidden beast` number, since 23 + 538 + 83 + 4 + 0 + 18 = 666.

23538834018 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (23538834017) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 410703 + ... + 464493.

It is an arithmetic number, because the mean of its divisors is an integer number (637757952).

Almost surely, 223538834018 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23538834018, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30612381696).

23538834018 is an abundant number, since it is smaller than the sum of its proper divisors (37685929374).

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

23538834018 is a wasteful number, since it uses less digits than its factorization.

23538834018 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53980 (or 53977 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 23538834018 in words is "twenty-three billion, five hundred thirty-eight million, eight hundred thirty-four thousand, eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 63 69 126 138 151 161 207 302 322 414 453 483 906 966 1057 1359 1449 2114 2718 2898 3171 3473 6342 6946 9513 10419 19026 20838 24311 31257 48622 53791 62514 72933 107582 145866 161373 218799 322746 376537 437598 484119 753074 968238 1129611 1237193 2259222 2474386 3388833 3711579 6777666 7423158 8122441 8660351 11134737 16244882 17320702 22269474 24367323 25981053 48734646 51962106 56857087 73101969 77943159 113714174 146203938 155886318 170571261 186816143 341142522 373632286 511713783 560448429 1023427566 1120896858 1307713001 1681345287 2615426002 3362690574 3923139003 7846278006 11769417009 23538834018