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10058290704 = 2432711907133
BaseRepresentation
bin10010101111000010…
…10101011000010000
3221221222110002221100
421113201111120100
5131044410300304
64342024024400
7504153026460
oct112741253020
927858402840
1010058290704
1142a1708750
121b48602100
13c43ab9407
146b5bb7ba0
153dd074439
hex257855610

10058290704 has 120 divisors (see below), whose sum is σ = 35095200192. Its totient is φ = 2612540160.

The previous prime is 10058290681. The next prime is 10058290709. The reversal of 10058290704 is 40709285001.

10058290704 is a `hidden beast` number, since 1 + 0 + 0 + 582 + 9 + 0 + 70 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (10058290709) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 442479 + ... + 464654.

Almost surely, 210058290704 is an apocalyptic number.

10058290704 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10058290704 is an abundant number, since it is smaller than the sum of its proper divisors (25036909488).

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

10058290704 is a wasteful number, since it uses less digits than its factorization.

10058290704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 907165 (or 907156 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10058290704 in words is "ten billion, fifty-eight million, two hundred ninety thousand, seven hundred four".

Divisors: 1 2 3 4 6 7 8 9 11 12 14 16 18 21 22 24 28 33 36 42 44 48 56 63 66 72 77 84 88 99 112 126 132 144 154 168 176 198 231 252 264 308 336 396 462 504 528 616 693 792 924 1008 1232 1386 1584 1848 2772 3696 5544 11088 907133 1814266 2721399 3628532 5442798 6349931 7257064 8164197 9978463 10885596 12699862 14514128 16328394 19049793 19956926 21771192 25399724 29935389 32656788 38099586 39913852 43542384 50799448 57149379 59870778 65313576 69849241 76199172 79827704 89806167 101598896 114298758 119741556 130627152 139698482 152398344 159655408 179612334 209547723 228597516 239483112 279396964 304796688 359224668 419095446 457195032 478966224 558793928 628643169 718449336 838190892 914390064 1117587856 1257286338 1436898672 1676381784 2514572676 3352763568 5029145352 10058290704