Search a number
-
+
10046967160 = 2351671504037
BaseRepresentation
bin10010101101101100…
…01000110101111000
3221221012010210221211
421112312020311320
5131034010422120
64340541212504
7503654545306
oct112666106570
927835123854
1010046967160
11429628414a
121b44861134
13c416532a9
146b44ab276
153dc08925a
hex256d88d78

10046967160 has 32 divisors (see below), whose sum is σ = 22741054560. Its totient is φ = 3994719616.

The previous prime is 10046967149. The next prime is 10046967163. The reversal of 10046967160 is 6176964001.

10046967160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100469671602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10046967163) 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 7 ways as a sum of consecutive naturals, for example, 745339 + ... + 758698.

It is an arithmetic number, because the mean of its divisors is an integer number (710657955).

Almost surely, 210046967160 is an apocalyptic number.

10046967160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10046967160 is an abundant number, since it is smaller than the sum of its proper divisors (12694087400).

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

10046967160 is a wasteful number, since it uses less digits than its factorization.

10046967160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1504215 (or 1504211 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 40.

The spelling of 10046967160 in words is "ten billion, forty-six million, nine hundred sixty-seven thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 167 334 668 835 1336 1670 3340 6680 1504037 3008074 6016148 7520185 12032296 15040370 30080740 60161480 251174179 502348358 1004696716 1255870895 2009393432 2511741790 5023483580 10046967160