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116959143488 = 26116114511877
BaseRepresentation
bin110110011101101001…
…1101110011001000000
3102011220002021002120012
41230323103232121000
53404013020042423
6125421424204052
711310233213345
oct1547323563100
9364802232505
10116959143488
1145669429670
121a801469628
13b04c1c94a5
1459375467cc
153098041078
hex1b3b4ee640

116959143488 has 112 divisors (see below), whose sum is σ = 257655169728. Its totient is φ = 52227840000.

The previous prime is 116959143463. The next prime is 116959143491. The reversal of 116959143488 is 884341959611.

It is a super-2 number, since 2×1169591434882 (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 15 ways as a sum of consecutive naturals, for example, 62310806 + ... + 62312682.

Almost surely, 2116959143488 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 116959143488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128827584864).

116959143488 is an abundant number, since it is smaller than the sum of its proper divisors (140696026240).

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

116959143488 is a wasteful number, since it uses less digits than its factorization.

116959143488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3412 (or 3402 counting only the distinct ones).

The product of its digits is 7464960, while the sum is 59.

The spelling of 116959143488 in words is "one hundred sixteen billion, nine hundred fifty-nine million, one hundred forty-three thousand, four hundred eighty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 88 122 176 244 352 488 671 704 976 1342 1451 1877 1952 2684 2902 3754 3904 5368 5804 7508 10736 11608 15016 15961 20647 21472 23216 30032 31922 41294 42944 46432 60064 63844 82588 88511 92864 114497 120128 127688 165176 177022 228994 255376 330352 354044 457988 510752 660704 708088 915976 973621 1021504 1259467 1321408 1416176 1831952 1947242 2518934 2723527 2832352 3663904 3894484 5037868 5447054 5664704 7327808 7788968 10075736 10894108 15577936 20151472 21788216 29958797 31155872 40302944 43576432 59917594 62311744 80605888 87152864 119835188 166135147 174305728 239670376 332270294 479340752 664540588 958681504 1329081176 1827486617 1917363008 2658162352 3654973234 5316324704 7309946468 10632649408 14619892936 29239785872 58479571744 116959143488