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191385828900 = 223252730378703
BaseRepresentation
bin1011001000111101111…
…0111111111000100100
3200022000000012110020100
42302033132333320210
511113424233011100
6223531010304100
716553501463360
oct2621736777044
9608000173210
10191385828900
1174191346a32
1231112888030
131508078b206
1493980222a0
154ea20ac400
hex2c8f7bfe24

191385828900 has 108 divisors (see below), whose sum is σ = 685586591872. Its totient is φ = 43745330880.

The previous prime is 191385828899. The next prime is 191385828917. The reversal of 191385828900 is 9828583191.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 15183052 + ... + 15195651.

Almost surely, 2191385828900 is an apocalyptic number.

191385828900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

191385828900 is an abundant number, since it is smaller than the sum of its proper divisors (494200762972).

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

191385828900 is a wasteful number, since it uses less digits than its factorization.

191385828900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30378730 (or 30378720 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 54.

The spelling of 191385828900 in words is "one hundred ninety-one billion, three hundred eighty-five million, eight hundred twenty-eight thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 25 28 30 35 36 42 45 50 60 63 70 75 84 90 100 105 126 140 150 175 180 210 225 252 300 315 350 420 450 525 630 700 900 1050 1260 1575 2100 3150 6300 30378703 60757406 91136109 121514812 151893515 182272218 212650921 273408327 303787030 364544436 425301842 455680545 546816654 607574060 637952763 759467575 850603684 911361090 1063254605 1093633308 1275905526 1367041635 1518935150 1822722180 1913858289 2126509210 2278402725 2551811052 2734083270 3037870300 3189763815 3827716578 4253018420 4556805450 5316273025 5468166540 6379527630 6835208175 7655433156 9113610900 9569291445 10632546050 12759055260 13670416350 15948819075 19138582890 21265092100 27340832700 31897638150 38277165780 47846457225 63795276300 95692914450 191385828900