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10326565340 = 22571317229677
BaseRepresentation
bin10011001111000001…
…01110000111011100
3222122200020212112222
421213200232013130
5132122100042330
64424410044512
7513621233330
oct114740560734
928580225488
1010326565340
11441a093423
122002419738
13c87559ac0
146dd68d7c0
154068b80e5
hex26782e1dc

10326565340 has 288 divisors, whose sum is σ = 29373563520. Its totient is φ = 2965487616.

The previous prime is 10326565331. The next prime is 10326565367. The reversal of 10326565340 is 4356562301.

10326565340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a self number, because there is not a number n which added to its sum of digits gives 10326565340.

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 95 ways as a sum of consecutive naturals, for example, 15253082 + ... + 15253758.

It is an arithmetic number, because the mean of its divisors is an integer number (101991540).

Almost surely, 210326565340 is an apocalyptic number.

10326565340 is a gapful number since it is divisible by the number (10) 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 10326565340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14686781760).

10326565340 is an abundant number, since it is smaller than the sum of its proper divisors (19046998180).

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

10326565340 is a wasteful number, since it uses less digits than its factorization.

10326565340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 769 (or 750 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 35.

The spelling of 10326565340 in words is "ten billion, three hundred twenty-six million, five hundred sixty-five thousand, three hundred forty".