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118135348968 = 23371361218837
BaseRepresentation
bin110111000000101101…
…0100101111011101000
3102021221001111112011010
41232001122211323220
53413420122131333
6130134242303520
711351334620010
oct1560132457350
9367831445133
10118135348968
114611236320a
121aa8b357ba0
13b1a8aac370
145a09840c40
15311642b563
hex1b816a5ee8

118135348968 has 128 divisors (see below), whose sum is σ = 363593905920. Its totient is φ = 31147960320.

The previous prime is 118135348939. The next prime is 118135348973. The reversal of 118135348968 is 869843531811.

It is a super-2 number, since 2×1181353489682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 13363846 + ... + 13372682.

It is an arithmetic number, because the mean of its divisors is an integer number (2840577390).

Almost surely, 2118135348968 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 118135348968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181796952960).

118135348968 is an abundant number, since it is smaller than the sum of its proper divisors (245458556952).

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

118135348968 is a wasteful number, since it uses less digits than its factorization.

118135348968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14987 (or 14983 counting only the distinct ones).

The product of its digits is 4976640, while the sum is 57.

It can be divided in two parts, 1181353 and 48968, that added together give a palindrome (1230321).

The spelling of 118135348968 in words is "one hundred eighteen billion, one hundred thirty-five million, three hundred forty-eight thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 39 42 52 56 78 84 91 104 156 168 182 273 312 364 546 728 1092 2184 6121 8837 12242 17674 18363 24484 26511 35348 36726 42847 48968 53022 61859 70696 73452 79573 85694 106044 114881 123718 128541 146904 159146 171388 185577 212088 229762 238719 247436 257082 318292 342776 344643 371154 459524 477438 494872 514164 557011 636584 689286 742308 804167 919048 954876 1028328 1114022 1378572 1484616 1608334 1671033 1909752 2228044 2412501 2757144 3216668 3342066 4456088 4825002 6433336 6684132 9650004 13368264 19300008 54091277 108182554 162273831 216365108 324547662 378638939 432730216 649095324 703186601 757277878 1135916817 1298190648 1406373202 1514555756 2109559803 2271833634 2812746404 3029111512 4219119606 4543667268 4922306207 5625492808 8438239212 9087334536 9844612414 14766918621 16876478424 19689224828 29533837242 39378449656 59067674484 118135348968