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10059457392 = 24358293121
BaseRepresentation
bin10010101111001011…
…10010001101110000
3221222001122101100000
421113211302031300
5131100210114032
64342105030000
7504165656055
oct112745621560
927861571300
1010059457392
1142a2335256
121b48a85300
13c4410746a
146b5ddd02c
153dd204e7c
hex257972370

10059457392 has 120 divisors (see below), whose sum is σ = 29239777840. Its totient is φ = 3348034560.

The previous prime is 10059457391. The next prime is 10059457409. The reversal of 10059457392 is 29375495001.

It is a happy number.

10059457392 is a `hidden beast` number, since 1 + 0 + 0 + 594 + 57 + 3 + 9 + 2 = 666.

10059457392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10059457391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3221592 + ... + 3224712.

Almost surely, 210059457392 is an apocalyptic number.

10059457392 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 10059457392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14619888920).

10059457392 is an abundant number, since it is smaller than the sum of its proper divisors (19180320448).

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

10059457392 is an equidigital number, since it uses as much as digits as its factorization.

10059457392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3973 (or 3955 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 10059457392 in words is "ten billion, fifty-nine million, four hundred fifty-seven thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 243 324 432 486 648 829 972 1296 1658 1944 2487 3121 3316 3888 4974 6242 6632 7461 9363 9948 12484 13264 14922 18726 19896 22383 24968 28089 29844 37452 39792 44766 49936 56178 59688 67149 74904 84267 89532 112356 119376 134298 149808 168534 179064 201447 224712 252801 268596 337068 358128 402894 449424 505602 537192 674136 758403 805788 1011204 1074384 1348272 1516806 1611576 2022408 2587309 3033612 3223152 4044816 5174618 6067224 7761927 10349236 12134448 15523854 20698472 23285781 31047708 41396944 46571562 62095416 69857343 93143124 124190832 139714686 186286248 209572029 279429372 372572496 419144058 558858744 628716087 838288116 1117717488 1257432174 1676576232 2514864348 3353152464 5029728696 10059457392