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112361367618552 = 233131756599374287
BaseRepresentation
bin11001100011000100101011…
…011001110100001111111000
3112201211122022220022200112110
4121203010223121310033320
5104211412040102243202
61034550033311012320
732444561302223133
oct3143045331641770
9481748286280473
10112361367618552
11328902088473a8
121072847680a0a0
134a90829543150
141da6467ca921a
15cecb9c6ec26c
hex66312b6743f8

112361367618552 has 128 divisors (see below), whose sum is σ = 320312676096000. Its totient is φ = 32538376747008.

The previous prime is 112361367618541. The next prime is 112361367618559. The reversal of 112361367618552 is 255816763163211.

It is a happy number.

112361367618552 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1123613676185522 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 112361367618492 and 112361367618501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112361367618559) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 300013953 + ... + 300388239.

It is an arithmetic number, because the mean of its divisors is an integer number (2502442782000).

Almost surely, 2112361367618552 is an apocalyptic number.

112361367618552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

112361367618552 is an abundant number, since it is smaller than the sum of its proper divisors (207951308477448).

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

112361367618552 is a wasteful number, since it uses less digits than its factorization.

112361367618552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 430925 (or 430921 counting only the distinct ones).

The product of its digits is 10886400, while the sum is 57.

The spelling of 112361367618552 in words is "one hundred twelve trillion, three hundred sixty-one billion, three hundred sixty-seven million, six hundred eighteen thousand, five hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 13 17 24 26 34 39 51 52 68 78 102 104 136 156 204 221 312 408 442 663 884 1326 1768 2652 5304 56599 113198 169797 226396 339594 374287 452792 679188 735787 748574 962183 1122861 1358376 1471574 1497148 1924366 2207361 2245722 2886549 2943148 2994296 3848732 4414722 4491444 4865731 5773098 5886296 6362879 7697464 8829444 8982888 9731462 11546196 12508379 12725758 14597193 17658888 19088637 19462924 23092392 25016758 25451516 29194386 37525137 38177274 38925848 50033516 50903032 58388772 75050274 76354548 82717427 100067032 116777544 150100548 152709096 165434854 248152281 300201096 330869708 496304562 661739416 992609124 1985218248 21184269913 42368539826 63552809739 84737079652 127105619478 169474159304 254211238956 275395508869 360132588521 508422477912 550791017738 720265177042 826186526607 1080397765563 1101582035476 1440530354084 1652373053214 2160795531126 2203164070952 2881060708168 3304746106428 4321591062252 4681723650773 6609492212856 8643182124504 9363447301546 14045170952319 18726894603092 28090341904638 37453789206184 56180683809276 112361367618552