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10309982032 = 247434314967
BaseRepresentation
bin10011001101000010…
…11101011101010000
3222121112001100112101
421212201131131100
5132103323411112
64423014410144
7513330254440
oct114641353520
928545040471
1010309982032
114410797109
121bb8960954
13c83ca18ac
146db3b4120
154051de757
hex26685d750

10309982032 has 80 divisors (see below), whose sum is σ = 23419072512. Its totient is φ = 4304926080.

The previous prime is 10309982029. The next prime is 10309982041. The reversal of 10309982032 is 23028990301.

It is a junction number, because it is equal to n+sod(n) for n = 10309981982 and 10309982000.

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, 2073213 + ... + 2078179.

Almost surely, 210309982032 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 10309982032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11709536256).

10309982032 is an abundant number, since it is smaller than the sum of its proper divisors (13109090480).

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

10309982032 is a wasteful number, since it uses less digits than its factorization.

10309982032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5456 (or 5450 counting only the distinct ones).

The product of its (nonzero) digits is 23328, while the sum is 37.

The spelling of 10309982032 in words is "ten billion, three hundred nine million, nine hundred eighty-two thousand, thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 56 86 112 172 301 344 431 602 688 862 1204 1724 2408 3017 3448 4816 4967 6034 6896 9934 12068 18533 19868 24136 34769 37066 39736 48272 69538 74132 79472 129731 139076 148264 213581 259462 278152 296528 427162 518924 556304 854324 1037848 1495067 1708648 2075696 2140777 2990134 3417296 4281554 5980268 8563108 11960536 14985439 17126216 23921072 29970878 34252432 59941756 92053411 119883512 184106822 239767024 368213644 644373877 736427288 1288747754 1472854576 2577495508 5154991016 10309982032