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111866745168 = 243541968669
BaseRepresentation
bin110100000101111000…
…1110001000101010000
3101200202012000110100000
41220023301301011100
53313100341321133
6123220232330000
711040106434123
oct1501361610520
9350665013300
10111866745168
1143495952412
121981bb43900
13a71a189149
1455b30b23ba
152d9ae37413
hex1a0bc71150

111866745168 has 120 divisors (see below), whose sum is σ = 325446357600. Its totient is φ = 37199378304.

The previous prime is 111866745163. The next prime is 111866745247. The reversal of 111866745168 is 861547668111.

111866745168 is a `hidden beast` number, since 1 + 1 + 186 + 6 + 7 + 451 + 6 + 8 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (111866745161) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594738 + ... + 1663406.

It is an arithmetic number, because the mean of its divisors is an integer number (2712052980).

Almost surely, 2111866745168 is an apocalyptic number.

111866745168 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 111866745168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162723178800).

111866745168 is an abundant number, since it is smaller than the sum of its proper divisors (213579612432).

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

111866745168 is an equidigital number, since it uses as much as digits as its factorization.

111866745168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69111 (or 69093 counting only the distinct ones).

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

The spelling of 111866745168 in words is "one hundred eleven billion, eight hundred sixty-six million, seven hundred forty-five thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 419 432 486 648 838 972 1257 1296 1676 1944 2514 3352 3771 3888 5028 6704 7542 10056 11313 15084 20112 22626 30168 33939 45252 60336 67878 68669 90504 101817 135756 137338 181008 203634 206007 271512 274676 407268 412014 543024 549352 618021 814536 824028 1098704 1236042 1629072 1648056 1854063 2472084 3296112 3708126 4944168 5562189 7416252 9888336 11124378 14832504 16686567 22248756 28772311 29665008 33373134 44497512 57544622 66746268 86316933 88995024 115089244 133492536 172633866 230178488 258950799 266985072 345267732 460356976 517901598 690535464 776852397 1035803196 1381070928 1553704794 2071606392 2330557191 3107409588 4143212784 4661114382 6214819176 6991671573 9322228764 12429638352 13983343146 18644457528 27966686292 37288915056 55933372584 111866745168