Search a number
-
+
10407043768 = 2311118261861
BaseRepresentation
bin10011011000100111…
…01110001010111000
3222212021200121012111
421230103232022320
5132303200400033
64440403022104
7515616261322
oct115423561270
928767617174
1010407043768
114460561020
12202536a934
13c9b126b84
1470a23c612
1540d9b37cd
hex26c4ee2b8

10407043768 has 16 divisors (see below), whose sum is σ = 21287135160. Its totient is φ = 4730474400.

The previous prime is 10407043763. The next prime is 10407043781. The reversal of 10407043768 is 86734070401.

10407043768 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-3 number, since 3×104070437683 (a number of 31 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10407043768.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10407043763) 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, 59130843 + ... + 59131018.

Almost surely, 210407043768 is an apocalyptic number.

It is an amenable number.

10407043768 is an abundant number, since it is smaller than the sum of its proper divisors (10880091392).

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

10407043768 is a wasteful number, since it uses less digits than its factorization.

10407043768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118261878 (or 118261874 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 40.

The spelling of 10407043768 in words is "ten billion, four hundred seven million, forty-three thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 22 44 88 118261861 236523722 473047444 946094888 1300880471 2601760942 5203521884 10407043768