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10081594368 = 21034121547
BaseRepresentation
bin10010110001110100…
…01110110000000000
3222000121022001120000
421120322032300000
5131121342004433
64344215320000
7504555065256
oct113072166000
928017261500
1010081594368
11430388507a
121b54380000
13c48888471
146b8d225d6
153e0129113
hex258e8ec00

10081594368 has 110 divisors (see below), whose sum is σ = 30105859476. Its totient is φ = 3360503808.

The previous prime is 10081594363. The next prime is 10081594387. The reversal of 10081594368 is 86349518001.

It is not an unprimeable number, because it can be changed into a prime (10081594363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 22171 + ... + 143717.

Almost surely, 210081594368 is an apocalyptic number.

10081594368 is a gapful number since it is divisible by the number (18) 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 10081594368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15052929738).

10081594368 is an abundant number, since it is smaller than the sum of its proper divisors (20024265108).

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

10081594368 is an equidigital number, since it uses as much as digits as its factorization.

10081594368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121579 (or 121552 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 10081594368 in words is "ten billion, eighty-one million, five hundred ninety-four thousand, three hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2304 2592 3072 3456 4608 5184 6912 9216 10368 13824 20736 27648 41472 82944 121547 243094 364641 486188 729282 972376 1093923 1458564 1944752 2187846 2917128 3281769 3889504 4375692 5834256 6563538 7779008 8751384 9845307 11668512 13127076 15558016 17502768 19690614 23337024 26254152 31116032 35005536 39381228 46674048 52508304 62232064 70011072 78762456 93348096 105016608 124464128 140022144 157524912 186696192 210033216 280044288 315049824 373392384 420066432 560088576 630099648 840132864 1120177152 1260199296 1680265728 2520398592 3360531456 5040797184 10081594368