Search a number
-
+
10093426176 = 2937390017
BaseRepresentation
bin10010110011001110…
…10111011000000000
3222001102120011202010
421121213113120000
5131132404114201
64345321052520
7505060464321
oct113147273000
928042504663
1010093426176
11430a526529
121b58327140
13c4b16ba32
146ba722448
153e11b4bd6
hex2599d7600

10093426176 has 80 divisors (see below), whose sum is σ = 27258170544. Its totient is φ = 3318349824.

The previous prime is 10093426169. The next prime is 10093426177. The reversal of 10093426176 is 67162439001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10093426177) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67120 + ... + 157136.

Almost surely, 210093426176 is an apocalyptic number.

10093426176 is a gapful number since it is divisible by the number (16) 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 10093426176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13629085272).

10093426176 is an abundant number, since it is smaller than the sum of its proper divisors (17164744368).

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

10093426176 is an frugal number, since it uses more digits than its factorization.

10093426176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90111 (or 90095 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The spelling of 10093426176 in words is "ten billion, ninety-three million, four hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 73 96 128 146 192 219 256 292 384 438 512 584 768 876 1168 1536 1752 2336 3504 4672 7008 9344 14016 18688 28032 37376 56064 90017 112128 180034 270051 360068 540102 720136 1080204 1440272 2160408 2880544 4320816 5761088 6571241 8641632 11522176 13142482 17283264 19713723 23044352 26284964 34566528 39427446 46088704 52569928 69133056 78854892 105139856 138266112 157709784 210279712 315419568 420559424 630839136 841118848 1261678272 1682237696 2523356544 3364475392 5046713088 10093426176