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118426684968 = 233229179316859
BaseRepresentation
bin110111001001011000…
…1111100111000101000
3102022200100200221000100
41232102301330320220
53420014212404333
6130223210505400
711361503133054
oct1562261747050
9368610627010
10118426684968
114625185a269
121ab50a35260
13b224265727
145a363dac64
153131cc8213
hex1b92c7ce28

118426684968 has 96 divisors (see below), whose sum is σ = 333653580000. Its totient is φ = 37901286528.

The previous prime is 118426684963. The next prime is 118426685011. The reversal of 118426684968 is 869486624811.

118426684968 is a `hidden beast` number, since 1 + 1 + 84 + 2 + 6 + 68 + 496 + 8 = 666.

It is a super-2 number, since 2×1184266849682 (a number of 23 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (118426684963) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 215323 + ... + 532181.

It is an arithmetic number, because the mean of its divisors is an integer number (3475558125).

Almost surely, 2118426684968 is an apocalyptic number.

118426684968 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 118426684968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166826790000).

118426684968 is an abundant number, since it is smaller than the sum of its proper divisors (215226895032).

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

118426684968 is a wasteful number, since it uses less digits than its factorization.

118426684968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 317079 (or 317072 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The spelling of 118426684968 in words is "one hundred eighteen billion, four hundred twenty-six million, six hundred eighty-four thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 29 36 58 72 87 116 174 179 232 261 348 358 522 537 696 716 1044 1074 1432 1611 2088 2148 3222 4296 5191 6444 10382 12888 15573 20764 31146 41528 46719 62292 93438 124584 186876 316859 373752 633718 950577 1267436 1901154 2534872 2851731 3802308 5703462 7604616 9188911 11406924 18377822 22813848 27566733 36755644 55133466 56717761 73511288 82700199 110266932 113435522 165400398 170153283 220533864 226871044 330800796 340306566 453742088 510459849 661601592 680613132 1020919698 1361226264 1644815069 2041839396 3289630138 4083678792 4934445207 6579260276 9868890414 13158520552 14803335621 19737780828 29606671242 39475561656 59213342484 118426684968