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10059700332 = 223111514311171
BaseRepresentation
bin10010101111001101…
…01101100001101100
3221222002002201120210
421113212231201230
5131100240402312
64342114142420
7504201020253
oct112746554154
927862081523
1010059700332
1142a2490830
121b48b81a10
13c44190c06
146b606379a
153dd251e3c
hex2579ad86c

10059700332 has 96 divisors (see below), whose sum is σ = 25857957888. Its totient is φ = 3018600000.

The previous prime is 10059700331. The next prime is 10059700367. The reversal of 10059700332 is 23300795001.

It is a self number, because there is not a number n which added to its sum of digits gives 10059700332.

It is not an unprimeable number, because it can be changed into a prime (10059700331) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8590107 + ... + 8591277.

It is an arithmetic number, because the mean of its divisors is an integer number (269353728).

Almost surely, 210059700332 is an apocalyptic number.

10059700332 is a gapful number since it is divisible by the number (12) 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 10059700332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12928978944).

10059700332 is an abundant number, since it is smaller than the sum of its proper divisors (15798257556).

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

10059700332 is a wasteful number, since it uses less digits than its factorization.

10059700332 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1771 (or 1769 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 30.

The spelling of 10059700332 in words is "ten billion, fifty-nine million, seven hundred thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 431 453 604 862 906 1171 1293 1661 1724 1812 2342 2586 3322 3513 4684 4741 4983 5172 6644 7026 9482 9966 12881 14052 14223 18964 19932 25762 28446 38643 51524 56892 65081 77286 130162 154572 176821 195243 260324 353642 390486 504701 530463 707284 715891 780972 1009402 1060926 1431782 1514103 1945031 2018804 2121852 2147673 2863564 3028206 3890062 4295346 5551711 5835093 6056412 7780124 8590692 11103422 11670186 16655133 22206844 23340372 33310266 66620532 76209851 152419702 228629553 304839404 457259106 838308361 914518212 1676616722 2514925083 3353233444 5029850166 10059700332