Search a number
-
+
10434465104 = 24793164867
BaseRepresentation
bin10011011011111000…
…10100110101010000
3222221012021202012112
421231330110311100
5132332210340404
64443222444452
7516401330030
oct115574246520
928835252175
1010434465104
114474a90088
122032593728
13ca3a0820b
1470db398c0
154110cd56e
hex26df14d50

10434465104 has 20 divisors (see below), whose sum is σ = 23104887264. Its totient is φ = 4471913568.

The previous prime is 10434465103. The next prime is 10434465121. The reversal of 10434465104 is 40156443401.

10434465104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10434465103) 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 3 ways as a sum of consecutive naturals, for example, 46582322 + ... + 46582545.

Almost surely, 210434465104 is an apocalyptic number.

10434465104 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10434465104 is an abundant number, since it is smaller than the sum of its proper divisors (12670422160).

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

10434465104 is an equidigital number, since it uses as much as digits as its factorization.

10434465104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93164882 (or 93164876 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 32.

The spelling of 10434465104 in words is "ten billion, four hundred thirty-four million, four hundred sixty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 56 112 93164867 186329734 372659468 652154069 745318936 1304308138 1490637872 2608616276 5217232552 10434465104