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10058620320 = 253257997879
BaseRepresentation
bin10010101111000101…
…00101110110100000
3221222000001212002100
421113202211312200
5131100001322240
64342035050400
7504155601450
oct112742456640
927860055070
1010058620320
1142a1913361
121b48740a00
13c43ba3458
146b5c61d60
153dd0dbe30
hex2578a5da0

10058620320 has 144 divisors (see below), whose sum is σ = 39228658560. Its totient is φ = 2299110912.

The previous prime is 10058620303. The next prime is 10058620343. The reversal of 10058620320 is 2302685001.

10058620320 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 8 + 620 + 32 + 0 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 488860 + ... + 509019.

It is an arithmetic number, because the mean of its divisors is an integer number (272421240).

Almost surely, 210058620320 is an apocalyptic number.

10058620320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10058620320 is an abundant number, since it is smaller than the sum of its proper divisors (29170038240).

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

10058620320 is a wasteful number, since it uses less digits than its factorization.

10058620320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 997907 (or 997896 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The spelling of 10058620320 in words is "ten billion, fifty-eight million, six hundred twenty thousand, three 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 997879 1995758 2993637 3991516 4989395 5987274 6985153 7983032 8980911 9978790 11974548 13970306 14968185 15966064 17961822 19957580 20955459 23949096 27940612 29936370 31932128 34925765 35923644 39915160 41910918 44904555 47898192 55881224 59872740 62866377 69851530 71847288 79830320 83821836 89809110 95796384 104777295 111762448 119745480 125732754 139703060 143694576 159660640 167643672 179618220 209554590 223524896 239490960 251465508 279406120 287389152 314331885 335287344 359236440 419109180 478981920 502931016 558812240 628663770 670574688 718472880 838218360 1005862032 1117624480 1257327540 1436945760 1676436720 2011724064 2514655080 3352873440 5029310160 10058620320