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18857735112 = 23317291998009
BaseRepresentation
bin10001100100000000…
…100011001111001000
31210200020011012101210
4101210000203033020
5302110040010422
612355122413120
71235212050366
oct214400431710
953606135353
1018857735112
117aa7777557
1237a35011a0
131a16b49558
14cac704636
1575583710c
hex4640233c8

18857735112 has 128 divisors (see below), whose sum is σ = 51904800000. Its totient is φ = 5682733056.

The previous prime is 18857735093. The next prime is 18857735123. The reversal of 18857735112 is 21153775881.

It is a super-2 number, since 2×188577351122 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2350564 + ... + 2358572.

It is an arithmetic number, because the mean of its divisors is an integer number (405506250).

Almost surely, 218857735112 is an apocalyptic number.

18857735112 is a gapful number since it is divisible by the number (12) 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 18857735112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25952400000).

18857735112 is an abundant number, since it is smaller than the sum of its proper divisors (33047064888).

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

18857735112 is a wasteful number, since it uses less digits than its factorization.

18857735112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8263 (or 8259 counting only the distinct ones).

The product of its digits is 470400, while the sum is 48.

The spelling of 18857735112 in words is "eighteen billion, eight hundred fifty-seven million, seven hundred thirty-five thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 17 24 29 34 51 58 68 87 102 116 136 174 199 204 232 348 398 408 493 597 696 796 986 1194 1479 1592 1972 2388 2958 3383 3944 4776 5771 5916 6766 8009 10149 11542 11832 13532 16018 17313 20298 23084 24027 27064 32036 34626 40596 46168 48054 64072 69252 81192 96108 98107 136153 138504 192216 196214 232261 272306 294321 392428 408459 464522 544612 588642 696783 784856 816918 929044 1089224 1177284 1393566 1593791 1633836 1858088 2354568 2787132 3187582 3267672 3948437 4781373 5574264 6375164 7896874 9562746 11845311 12750328 15793748 19125492 23690622 27094447 31587496 38250984 46219939 47381244 54188894 81283341 92439878 94762488 108377788 138659817 162566682 184879756 216755576 277319634 325133364 369759512 554639268 650266728 785738963 1109278536 1571477926 2357216889 3142955852 4714433778 6285911704 9428867556 18857735112