Search a number
-
+
10508457420 = 2232558380319
BaseRepresentation
bin10011100100101101…
…00101010111001100
31000010100111221120200
421302112211113030
5133010131114140
64454424413500
7521260262046
oct116226452714
930110457520
1010508457420
11450282865a
122053317290
13cb6143c56
147198baa96
15417847030
hex2725a55cc

10508457420 has 36 divisors (see below), whose sum is σ = 31875654720. Its totient is φ = 2802255264.

The previous prime is 10508457413. The next prime is 10508457437. The reversal of 10508457420 is 2475480501.

10508457420 is a `hidden beast` number, since 1 + 0 + 5 + 0 + 84 + 574 + 2 + 0 = 666.

10508457420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-2 number, since 2×105084574202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 11 ways as a sum of consecutive naturals, for example, 29189980 + ... + 29190339.

Almost surely, 210508457420 is an apocalyptic number.

10508457420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10508457420 is an abundant number, since it is smaller than the sum of its proper divisors (21367197300).

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

10508457420 is a wasteful number, since it uses less digits than its factorization.

10508457420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58380334 (or 58380329 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 36.

The spelling of 10508457420 in words is "ten billion, five hundred eight million, four hundred fifty-seven thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 58380319 116760638 175140957 233521276 291901595 350281914 525422871 583803190 700563828 875704785 1050845742 1167606380 1751409570 2101691484 2627114355 3502819140 5254228710 10508457420