Search a number
-
+
118252743264 = 2533116992
BaseRepresentation
bin110111000100001101…
…0011010101001100000
3102022020020101202212000
41232020122122221200
53414140200241024
6130154034404000
711354261506305
oct1561032325140
9368206352760
10118252743264
1146172655297
121ab02730600
13b1c7203246
145a1b27d0ac
1531218b9cc9
hex1b8869aa60

118252743264 has 72 divisors (see below), whose sum is σ = 344933318520. Its totient is φ = 39414211776.

The previous prime is 118252743263. The next prime is 118252743269. The reversal of 118252743264 is 462347252811.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

118252743264 is a `hidden beast` number, since 1 + 1 + 8 + 252 + 74 + 326 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×1182527432642 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (118252743263) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10102087 + ... + 10113785.

It is an arithmetic number, because the mean of its divisors is an integer number (4790740535).

Almost surely, 2118252743264 is an apocalyptic number.

It is an amenable number.

118252743264 is an abundant number, since it is smaller than the sum of its proper divisors (226680575256).

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

118252743264 is an frugal number, since it uses more digits than its factorization.

118252743264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23417 (or 11704 counting only the distinct ones).

The product of its digits is 645120, while the sum is 45.

The spelling of 118252743264 in words is "one hundred eighteen billion, two hundred fifty-two million, seven hundred forty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 96 108 144 216 288 432 864 11699 23398 35097 46796 70194 93592 105291 140388 187184 210582 280776 315873 374368 421164 561552 631746 842328 1123104 1263492 1684656 2526984 3369312 5053968 10107936 136866601 273733202 410599803 547466404 821199606 1094932808 1231799409 1642399212 2189865616 2463598818 3284798424 3695398227 4379731232 4927197636 6569596848 7390796454 9854395272 13139193696 14781592908 19708790544 29563185816 39417581088 59126371632 118252743264