Search a number
-
+
10426165032 = 2331949146567
BaseRepresentation
bin10011011010111001…
…01010011100101000
3222220121200001122110
421231130222130220
5132323044240112
64442324522320
7516240640413
oct115534523450
928817601573
1010426165032
114470331118
12202b8503a0
13ca209032a
1470c9b8b7a
154104de13c
hex26d72a728

10426165032 has 64 divisors (see below), whose sum is σ = 27493747200. Its totient is φ = 3285696960.

The previous prime is 10426165031. The next prime is 10426165037. The reversal of 10426165032 is 23056162401.

10426165032 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 3×104261650323 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not an unprimeable number, because it can be changed into a prime (10426165031) 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 15 ways as a sum of consecutive naturals, for example, 200613 + ... + 247179.

It is an arithmetic number, because the mean of its divisors is an integer number (429589800).

Almost surely, 210426165032 is an apocalyptic number.

10426165032 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 10426165032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13746873600).

10426165032 is an abundant number, since it is smaller than the sum of its proper divisors (17067582168).

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

10426165032 is a wasteful number, since it uses less digits than its factorization.

10426165032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47086 (or 47082 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 30.

The spelling of 10426165032 in words is "ten billion, four hundred twenty-six million, one hundred sixty-five thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 456 491 982 1473 1964 2946 3928 5892 9329 11784 18658 27987 37316 46567 55974 74632 93134 111948 139701 186268 223896 279402 372536 558804 884773 1117608 1769546 2654319 3539092 5308638 7078184 10617276 21234552 22864397 45728794 68593191 91457588 137186382 182915176 274372764 434423543 548745528 868847086 1303270629 1737694172 2606541258 3475388344 5213082516 10426165032