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116238118608 = 2433618575147
BaseRepresentation
bin110110001000001010…
…1001110111011010000
3102010000211112020101000
41230100111032323100
53401023424243413
6125222110142000
711253326464113
oct1542025167320
9363024466330
10116238118608
1145329429a37
121a63bab1900
13ac65a08351
1458a989857a
153054ab9073
hex1b1054eed0

116238118608 has 160 divisors (see below), whose sum is σ = 339577729920. Its totient is φ = 38058992640.

The previous prime is 116238118519. The next prime is 116238118627. The reversal of 116238118608 is 806811832611.

116238118608 is a `hidden beast` number, since 1 + 1 + 6 + 2 + 38 + 1 + 1 + 8 + 608 = 666.

It is a super-2 number, since 2×1162381186082 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22581091 + ... + 22586237.

It is an arithmetic number, because the mean of its divisors is an integer number (2122360812).

Almost surely, 2116238118608 is an apocalyptic number.

116238118608 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 116238118608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169788864960).

116238118608 is an abundant number, since it is smaller than the sum of its proper divisors (223339611312).

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

116238118608 is a wasteful number, since it uses less digits than its factorization.

116238118608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6082 (or 6070 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 116238118608 in words is "one hundred sixteen billion, two hundred thirty-eight million, one hundred eighteen thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 61 72 108 122 144 183 216 244 366 432 488 549 732 857 976 1098 1464 1647 1714 2196 2571 2928 3294 3428 4392 5142 5147 6588 6856 7713 8784 10284 10294 13176 13712 15426 15441 20568 20588 23139 26352 30852 30882 41136 41176 46278 46323 52277 61704 61764 82352 92556 92646 104554 123408 123528 138969 156831 185112 185292 209108 247056 277938 313662 313967 370224 370584 418216 470493 555876 627324 627934 741168 836432 940986 941901 1111752 1254648 1255868 1411479 1881972 1883802 2223504 2509296 2511736 2822958 2825703 3763944 3767604 4410979 5023472 5645916 5651406 7527888 7535208 8477109 8821958 11291832 11302812 13232937 15070416 16954218 17643916 22583664 22605624 26465874 33908436 35287832 39698811 45211248 52931748 67816872 70575664 79397622 105863496 119096433 135633744 158795244 211726992 238192866 269069719 317590488 476385732 538139438 635180976 807209157 952771464 1076278876 1614418314 1905542928 2152557752 2421627471 3228836628 4305115504 4843254942 6457673256 7264882413 9686509884 12915346512 14529764826 19373019768 29059529652 38746039536 58119059304 116238118608