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10362874396 = 2275329323833
BaseRepresentation
bin10011010011010110…
…01110101000011100
3222202012120120012211
421221223032220130
5132210343440041
64432144210204
7514541656540
oct115153165034
928665516184
1010362874396
114438632a06
122012609964
13c91c30654
14704421a20
15409b8b481
hex269acea1c

10362874396 has 48 divisors (see below), whose sum is σ = 21189760704. Its totient is φ = 4342381056.

The previous prime is 10362874349. The next prime is 10362874421. The reversal of 10362874396 is 69347826301.

10362874396 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×103628743963 (a number of 31 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 422896 + ... + 446728.

It is an arithmetic number, because the mean of its divisors is an integer number (441453348).

Almost surely, 210362874396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10362874396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10594880352).

10362874396 is an abundant number, since it is smaller than the sum of its proper divisors (10826886308).

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

10362874396 is a wasteful number, since it uses less digits than its factorization.

10362874396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24190 (or 24188 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 49.

The spelling of 10362874396 in words is "ten billion, three hundred sixty-two million, eight hundred seventy-four thousand, three hundred ninety-six".

Divisors: 1 2 4 7 14 28 53 106 212 293 371 586 742 1172 1484 2051 4102 8204 15529 23833 31058 47666 62116 95332 108703 166831 217406 333662 434812 667324 1263149 2526298 5052596 6983069 8842043 13966138 17684086 27932276 35368172 48881483 97762966 195525932 370102657 740205314 1480410628 2590718599 5181437198 10362874396