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83125178368 = 212671012999
BaseRepresentation
bin100110101101010100…
…1011001000000000000
321221120010200120202221
41031122221121000000
52330220021201433
6102104233020424
76001630233541
oct1153251310000
9257503616687
1083125178368
1132286aa5921
121413a554714
137ab973729b
144047c484c8
152267a3c72d
hex135aa59000

83125178368 has 104 divisors (see below), whose sum is σ = 170438328000. Its totient is φ = 40523366400.

The previous prime is 83125178299. The next prime is 83125178459. The reversal of 83125178368 is 86387152138.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27716133 + ... + 27719131.

Almost surely, 283125178368 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 83125178368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85219164000).

83125178368 is an abundant number, since it is smaller than the sum of its proper divisors (87313149632).

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

83125178368 is a wasteful number, since it uses less digits than its factorization.

83125178368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3191 (or 3169 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 52.

The spelling of 83125178368 in words is "eighty-three billion, one hundred twenty-five million, one hundred seventy-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 8 16 32 64 67 101 128 134 202 256 268 404 512 536 808 1024 1072 1616 2048 2144 2999 3232 4096 4288 5998 6464 6767 8576 11996 12928 13534 17152 23992 25856 27068 34304 47984 51712 54136 68608 95968 103424 108272 137216 191936 200933 206848 216544 274432 302899 383872 401866 413696 433088 605798 767744 803732 866176 1211596 1535488 1607464 1732352 2423192 3070976 3214928 3464704 4846384 6141952 6429856 6929408 9692768 12283904 12859712 13858816 19385536 20294233 25719424 27717632 38771072 40588466 51438848 77542144 81176932 102877696 155084288 162353864 205755392 310168576 324707728 411510784 620337152 649415456 823021568 1240674304 1298830912 2597661824 5195323648 10390647296 20781294592 41562589184 83125178368