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10203792426 = 234418531801
BaseRepresentation
bin10011000000011000…
…11000010000101010
3222100010020100210000
421200030120100222
5131344132324201
64404302403430
7510600542652
oct114014302052
928303210700
1010203792426
114366858303
121b89290576
13c67ca19c9
146cb251362
153eac15d86
hex26031842a

10203792426 has 80 divisors (see below), whose sum is σ = 23462191368. Its totient is φ = 3312576000.

The previous prime is 10203792421. The next prime is 10203792437. The reversal of 10203792426 is 62429730201.

It can be written as a sum of positive squares in 4 ways, for example, as 1668804201 + 8534988225 = 40851^2 + 92385^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (10203792421) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5664726 + ... + 5666526.

Almost surely, 210203792426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10203792426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11731095684).

10203792426 is an abundant number, since it is smaller than the sum of its proper divisors (13258398942).

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

10203792426 is a wasteful number, since it uses less digits than its factorization.

10203792426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2709 (or 2700 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 10203792426 in words is "ten billion, two hundred three million, seven hundred ninety-two thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 369 738 853 1107 1706 1801 2214 2559 3321 3602 5118 5403 6642 7677 10806 15354 16209 23031 32418 34973 46062 48627 69093 69946 73841 97254 104919 138186 145881 147682 209838 221523 291762 314757 443046 629514 664569 944271 1329138 1536253 1888542 1993707 2832813 3072506 3987414 4608759 5665626 5981121 9217518 11962242 13826277 27652554 41478831 62986373 82957662 124436493 125972746 188959119 248872986 377918238 566877357 1133754714 1700632071 3401264142 5101896213 10203792426