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10270665056 = 2517293121001
BaseRepresentation
bin10011001000010110…
…11110100101100000
3222111210001211210002
421210023132211200
5132013242240211
64415051555132
7512342132621
oct114413364540
928453054702
1010270665056
1143a0582743
121ba775baa8
13c78ab6c02
146d609ba48
15401a2503b
hex2642de960

10270665056 has 96 divisors (see below), whose sum is σ = 22863617280. Its totient is φ = 4515840000.

The previous prime is 10270665037. The next prime is 10270665077. The reversal of 10270665056 is 65056607201.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 478556 + ... + 499556.

It is an arithmetic number, because the mean of its divisors is an integer number (238162680).

Almost surely, 210270665056 is an apocalyptic number.

10270665056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10270665056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11431808640).

10270665056 is an abundant number, since it is smaller than the sum of its proper divisors (12592952224).

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

10270665056 is a wasteful number, since it uses less digits than its factorization.

10270665056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21088 (or 21080 counting only the distinct ones).

The product of its (nonzero) digits is 75600, while the sum is 38.

The spelling of 10270665056 in words is "ten billion, two hundred seventy million, six hundred sixty-five thousand, fifty-six".

Divisors: 1 2 4 8 16 17 29 31 32 34 58 62 68 116 124 136 232 248 272 464 493 496 527 544 899 928 986 992 1054 1798 1972 2108 3596 3944 4216 7192 7888 8432 14384 15283 15776 16864 21001 28768 30566 42002 61132 84004 122264 168008 244528 336016 357017 489056 609029 651031 672032 714034 1218058 1302062 1428068 2436116 2604124 2856136 4872232 5208248 5712272 9744464 10353493 10416496 11067527 11424544 18879899 19488928 20706986 20832992 22135054 37759798 41413972 44270108 75519596 82827944 88540216 151039192 165655888 177080432 302078384 320958283 331311776 354160864 604156768 641916566 1283833132 2567666264 5135332528 10270665056