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19660157892 = 2233172629891
BaseRepresentation
bin10010010011110101…
…100011001111000100
31212202011001111112000
4102103311203033010
5310231000023032
613010505225300
71264124404404
oct222365431704
955664044460
1019660157892
118379712681
123988192230
131b1416a12b
14d47100804
157a0edbe7c
hex493d633c4

19660157892 has 72 divisors (see below), whose sum is σ = 54145516320. Its totient is φ = 6167882880.

The previous prime is 19660157873. The next prime is 19660157893. The reversal of 19660157892 is 29875106691.

19660157892 is a `hidden beast` number, since 1 + 9 + 6 + 60 + 1 + 578 + 9 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (19660157893) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 283734 + ... + 346157.

It is an arithmetic number, because the mean of its divisors is an integer number (752021060).

Almost surely, 219660157892 is an apocalyptic number.

19660157892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

19660157892 is an abundant number, since it is smaller than the sum of its proper divisors (34485358428).

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

19660157892 is a wasteful number, since it uses less digits than its factorization.

19660157892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 629938 (or 629913 counting only the distinct ones).

The product of its (nonzero) digits is 1632960, while the sum is 54.

The spelling of 19660157892 in words is "nineteen billion, six hundred sixty million, one hundred fifty-seven thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 289 306 459 578 612 867 918 1156 1734 1836 2601 3468 5202 7803 10404 15606 31212 629891 1259782 1889673 2519564 3779346 5669019 7558692 10708147 11338038 17007057 21416294 22676076 32124441 34014114 42832588 64248882 68028228 96373323 128497764 182038499 192746646 289119969 364076998 385493292 546115497 578239938 728153996 1092230994 1156479876 1638346491 2184461988 3276692982 4915039473 6553385964 9830078946 19660157892