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10059325920 = 253257997949
BaseRepresentation
bin10010101111001010…
…10010000111100000
3221222001101200222200
421113211102013200
5131100141412140
64342102133200
7504164600550
oct112745220740
927861350880
1010059325920
1142a22554a6
121b48a21200
13c4408c677
146b5da7160
153dd1cb030
hex2579521e0

10059325920 has 144 divisors (see below), whose sum is σ = 39231410400. Its totient is φ = 2299272192.

The previous prime is 10059325909. The next prime is 10059325921. The reversal of 10059325920 is 2952395001.

It is a happy number.

10059325920 is a `hidden beast` number, since 10 + 0 + 59 + 3 + 2 + 592 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059325921) 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, 488895 + ... + 509054.

It is an arithmetic number, because the mean of its divisors is an integer number (272440350).

Almost surely, 210059325920 is an apocalyptic number.

10059325920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10059325920 is an abundant number, since it is smaller than the sum of its proper divisors (29172084480).

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

10059325920 is a wasteful number, since it uses less digits than its factorization.

10059325920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 997977 (or 997966 counting only the distinct ones).

The product of its (nonzero) digits is 24300, while the sum is 36.

The spelling of 10059325920 in words is "ten billion, fifty-nine million, three hundred twenty-five thousand, nine hundred twenty".

Divisors: 1 2 3 4 5 6 7 8 9 10 12 14 15 16 18 20 21 24 28 30 32 35 36 40 42 45 48 56 60 63 70 72 80 84 90 96 105 112 120 126 140 144 160 168 180 210 224 240 252 280 288 315 336 360 420 480 504 560 630 672 720 840 1008 1120 1260 1440 1680 2016 2520 3360 5040 10080 997949 1995898 2993847 3991796 4989745 5987694 6985643 7983592 8981541 9979490 11975388 13971286 14969235 15967184 17963082 19958980 20956929 23950776 27942572 29938470 31934368 34928215 35926164 39917960 41913858 44907705 47901552 55885144 59876940 62870787 69856430 71852328 79835920 83827716 89815410 95803104 104784645 111770288 119753880 125741574 139712860 143704656 159671840 167655432 179630820 209569290 223540576 239507760 251483148 279425720 287409312 314353935 335310864 359261640 419138580 479015520 502966296 558851440 628707870 670621728 718523280 838277160 1005932592 1117702880 1257415740 1437046560 1676554320 2011865184 2514831480 3353108640 5029662960 10059325920