Search a number
-
+
10434814456 = 2311210779767
BaseRepresentation
bin10011011011111011…
…01010000111111000
3222221012221111102111
421231331222013320
5132332303030311
64443234142104
7516404313403
oct115575520770
928835844374
1010434814456
1144751a9600
122032721934
13ca3acb231
1470dbcad3a
1541114bd21
hex26df6a1f8

10434814456 has 24 divisors (see below), whose sum is σ = 21505637160. Its totient is φ = 4743097040.

The previous prime is 10434814447. The next prime is 10434814469. The reversal of 10434814456 is 65441843401.

It is a super-2 number, since 2×104348144562 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 5388916 + ... + 5390851.

It is an arithmetic number, because the mean of its divisors is an integer number (896068215).

Almost surely, 210434814456 is an apocalyptic number.

It is an amenable number.

10434814456 is an abundant number, since it is smaller than the sum of its proper divisors (11070822704).

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

10434814456 is a wasteful number, since it uses less digits than its factorization.

10434814456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10779795 (or 10779780 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 40.

The spelling of 10434814456 in words is "ten billion, four hundred thirty-four million, eight hundred fourteen thousand, four hundred fifty-six".

Divisors: 1 2 4 8 11 22 44 88 121 242 484 968 10779767 21559534 43119068 86238136 118577437 237154874 474309748 948619496 1304351807 2608703614 5217407228 10434814456