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10434622501 = 2917312171709
BaseRepresentation
bin10011011011111001…
…11011010000100101
3222221012120202010001
421231330323100211
5132332230410001
64443230101301
7516402553642
oct115574732045
928835522101
1010434622501
114475088366
12203264a831
13ca3a61a54
1470db7adc9
15411110001
hex26df3b425

10434622501 has 16 divisors (see below), whose sum is σ = 10872111600. Its totient is φ = 10002485248.

The previous prime is 10434622493. The next prime is 10434622567. The reversal of 10434622501 is 10522643401.

It is a Cunningham number, because it is equal to 1021502+1.

It can be written as a sum of positive squares in 8 ways, for example, as 1 + 10434622500 = 1^2 + 102150^2 .

It is a cyclic number.

It is not a de Polignac number, because 10434622501 - 23 = 10434622493 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 10434622501.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434622001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6104835 + ... + 6106543.

It is an arithmetic number, because the mean of its divisors is an integer number (679506975).

Almost surely, 210434622501 is an apocalyptic number.

It is an amenable number.

10434622501 is a deficient number, since it is larger than the sum of its proper divisors (437489099).

10434622501 is a wasteful number, since it uses less digits than its factorization.

10434622501 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3128.

The product of its (nonzero) digits is 5760, while the sum is 28.

The spelling of 10434622501 in words is "ten billion, four hundred thirty-four million, six hundred twenty-two thousand, five hundred one".

Divisors: 1 29 173 1217 1709 5017 35293 49561 210541 295657 2079853 6105689 8574053 60315737 359814569 10434622501