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18860705928 = 2333531978363
BaseRepresentation
bin10001100100001011…
…111000100010001000
31210200102202010121000
4101210023320202020
5302111320042203
612355310215000
71235246232561
oct214413704210
953612663530
1018860705928
117aa9416579
1237a44b4460
131a1764982c
14cacc79168
15755c224a3
hex4642f8888

18860705928 has 128 divisors (see below), whose sum is σ = 53656732800. Its totient is φ = 6136236288.

The previous prime is 18860705923. The next prime is 18860705957. The reversal of 18860705928 is 82950706881.

18860705928 is a `hidden beast` number, since 1 + 8 + 8 + 607 + 0 + 5 + 9 + 28 = 666.

It is a super-3 number, since 3×188607059283 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (18860705923) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2251075 + ... + 2259437.

It is an arithmetic number, because the mean of its divisors is an integer number (419193225).

Almost surely, 218860705928 is an apocalyptic number.

18860705928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18860705928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26828366400).

18860705928 is an abundant number, since it is smaller than the sum of its proper divisors (34796026872).

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

18860705928 is a wasteful number, since it uses less digits than its factorization.

18860705928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8628 (or 8618 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 54.

The spelling of 18860705928 in words is "eighteen billion, eight hundred sixty million, seven hundred five thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 53 54 72 106 108 159 197 212 216 318 394 424 477 591 636 788 954 1182 1272 1431 1576 1773 1908 2364 2862 3546 3816 4728 5319 5724 7092 8363 10441 10638 11448 14184 16726 20882 21276 25089 31323 33452 41764 42552 50178 62646 66904 75267 83528 93969 100356 125292 150534 187938 200712 225801 250584 281907 301068 375876 443239 451602 563814 602136 751752 886478 903204 1127628 1329717 1647511 1772956 1806408 2255256 2659434 3295022 3545912 3989151 4942533 5318868 6590044 7978302 9885066 10637736 11967453 13180088 14827599 15956604 19770132 23934906 29655198 31913208 39540264 44482797 47869812 59310396 87318083 88965594 95739624 118620792 174636166 177931188 261954249 349272332 355862376 523908498 698544664 785862747 1047816996 1571725494 2095633992 2357588241 3143450988 4715176482 6286901976 9430352964 18860705928