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10273991076 = 2234151373563
BaseRepresentation
bin10011001000110000…
…01010100110100100
3222112000022211020000
421210120022212210
5132020120203301
64415251141300
7512412324516
oct114430124644
928460284200
1010273991076
1143a2444618
121ba88a4830
13c796aca7b
146d66c5bb6
15401e80786
hex26460a9a4

10273991076 has 120 divisors (see below), whose sum is σ = 27156744384. Its totient is φ = 3386836800.

The previous prime is 10273991041. The next prime is 10273991093. The reversal of 10273991076 is 67019937201.

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 39 ways as a sum of consecutive naturals, for example, 18248371 + ... + 18248933.

Almost surely, 210273991076 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 10273991076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13578372192).

10273991076 is an abundant number, since it is smaller than the sum of its proper divisors (16882753308).

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

10273991076 is a wasteful number, since it uses less digits than its factorization.

10273991076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1103 (or 1092 counting only the distinct ones).

The product of its (nonzero) digits is 142884, while the sum is 45.

The spelling of 10273991076 in words is "ten billion, two hundred seventy-three million, nine hundred ninety-one thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 151 162 302 324 373 453 563 604 746 906 1119 1126 1359 1492 1689 1812 2238 2252 2718 3357 3378 4077 4476 5067 5436 6714 6756 8154 10071 10134 12231 13428 15201 16308 20142 20268 24462 30213 30402 40284 45603 48924 56323 60426 60804 85013 91206 112646 120852 168969 170026 182412 209999 225292 255039 337938 340052 419998 506907 510078 629997 675876 765117 839996 1013814 1020156 1259994 1520721 1530234 1889991 2027628 2295351 2519988 3041442 3060468 3779982 4562163 4590702 5669973 6082884 6886053 7559964 9124326 9181404 11339946 13772106 17009919 18248652 22679892 27544212 31709849 34019838 63419698 68039676 95129547 126839396 190259094 285388641 380518188 570777282 856165923 1141554564 1712331846 2568497769 3424663692 5136995538 10273991076