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112680539664 = 243711300110159
BaseRepresentation
bin110100011110001001…
…0001001011000010000
3101202211220022111111220
41220330102021120100
53321232204232124
6123433103005040
711066220532620
oct1507422113020
9352756274456
10112680539664
1143873255250
1219a08599780
13a81995ba54
14564d1cc880
152de75d6879
hex1a3c489610

112680539664 has 160 divisors (see below), whose sum is σ = 363075809280. Its totient is φ = 29255040000.

The previous prime is 112680539659. The next prime is 112680539687. The reversal of 112680539664 is 466935086211.

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, 11086617 + ... + 11096775.

It is an arithmetic number, because the mean of its divisors is an integer number (2269223808).

Almost surely, 2112680539664 is an apocalyptic number.

112680539664 is a gapful number since it is divisible by the number (14) 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 112680539664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181537904640).

112680539664 is an abundant number, since it is smaller than the sum of its proper divisors (250395269616).

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

112680539664 is a wasteful number, since it uses less digits than its factorization.

112680539664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13189 (or 13183 counting only the distinct ones).

The product of its (nonzero) digits is 1866240, while the sum is 51.

The spelling of 112680539664 in words is "one hundred twelve billion, six hundred eighty million, five hundred thirty-nine thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 56 66 77 84 88 112 132 154 168 176 231 264 308 336 462 528 616 924 1232 1848 3001 3696 6002 9003 10159 12004 18006 20318 21007 24008 30477 33011 36012 40636 42014 48016 60954 63021 66022 71113 72024 81272 84028 99033 111749 121908 126042 132044 142226 144048 162544 168056 198066 213339 223498 231077 243816 252084 264088 284452 335247 336112 396132 426678 446996 462154 487632 504168 528176 568904 670494 693231 782243 792264 853356 893992 924308 1008336 1137808 1340988 1386462 1564486 1584528 1706712 1787984 1848616 2346729 2681976 2772924 3128972 3413424 3697232 4693458 5363952 5545848 6257944 9386916 11091696 12515888 18773832 30487159 37547664 60974318 91461477 121948636 182922954 213410113 243897272 335358749 365845908 426820226 487794544 640230339 670717498 731691816 853640452 1006076247 1280460678 1341434996 1463383632 1707280904 2012152494 2347511243 2560921356 2682869992 3414561808 4024304988 4695022486 5121842712 5365739984 7042533729 8048609976 9390044972 10243685424 14085067458 16097219952 18780089944 28170134916 37560179888 56340269832 112680539664