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116102075240196 = 22337318238078053
BaseRepresentation
bin11010011001100000011110…
…111100111100111100000100
3120020002020202020122210122000
4122121200132330330330010
5110204204022230141241
61050532320153305300
733312045441331353
oct3231403674747404
9506066666583560
10116102075240196
1133aa2682775391
121103143a105230
134ca24c006ca66
14209552863399a
15d65134baaeb6
hex69981ef3cf04

116102075240196 has 96 divisors (see below), whose sum is σ = 305296156677120. Its totient is φ = 38149602248448.

The previous prime is 116102075240149. The next prime is 116102075240209. The reversal of 116102075240196 is 691042570201611.

116102075240196 is a `hidden beast` number, since 1 + 1 + 6 + 10 + 20 + 7 + 524 + 0 + 1 + 96 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10333506 + ... + 18411558.

It is an arithmetic number, because the mean of its divisors is an integer number (3180168298720).

Almost surely, 2116102075240196 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 116102075240196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152648078338560).

116102075240196 is an abundant number, since it is smaller than the sum of its proper divisors (189194081436924).

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

116102075240196 is a wasteful number, since it uses less digits than its factorization.

116102075240196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8079962 (or 8079954 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 116102075240196 in words is "one hundred sixteen trillion, one hundred two billion, seventy-five million, two hundred forty thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 73 108 146 219 292 438 657 876 1314 1823 1971 2628 3646 3942 5469 7292 7884 10938 16407 21876 32814 49221 65628 98442 133079 196884 266158 399237 532316 798474 1197711 1596948 2395422 3593133 4790844 7186266 8078053 14372532 16156106 24234159 32312212 48468318 72702477 96936636 145404954 218107431 290809908 436214862 589697869 872429724 1179395738 1769093607 2358791476 3538187214 5307280821 7076374428 10614561642 14726290619 15921842463 21229123284 29452581238 31843684926 44178871857 58905162476 63687369852 88357743714 132536615571 176715487428 265073231142 397609846713 530146462284 795219693426 1075019215187 1590439386852 2150038430374 3225057645561 4300076860748 6450115291122 9675172936683 12900230582244 19350345873366 29025518810049 38700691746732 58051037620098 116102075240196