Search a number
-
+
10040107068 = 22321318721149
BaseRepresentation
bin10010101100110111…
…11110000000111100
3221220201020021200100
421112123332000330
5131030231411233
64340134201100
7503542334115
oct112633760074
927821207610
1010040107068
114292419052
121b424b3190
13c400c0974
146b360320c
153db681813
hex2566fe03c

10040107068 has 36 divisors (see below), whose sum is σ = 25382284200. Its totient is φ = 3346290336.

The previous prime is 10040107067. The next prime is 10040107079. The reversal of 10040107068 is 86070104001.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10040107067) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 464158 + ... + 485306.

It is an arithmetic number, because the mean of its divisors is an integer number (705063450).

Almost surely, 210040107068 is an apocalyptic number.

10040107068 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10040107068 is an abundant number, since it is smaller than the sum of its proper divisors (15342177132).

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

10040107068 is a wasteful number, since it uses less digits than its factorization.

10040107068 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34346 (or 34341 counting only the distinct ones).

The product of its (nonzero) digits is 1344, while the sum is 27.

The spelling of 10040107068 in words is "ten billion, forty million, one hundred seven thousand, sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 13187 21149 26374 39561 42298 52748 63447 79122 84596 118683 126894 158244 190341 237366 253788 380682 474732 761364 278891863 557783726 836675589 1115567452 1673351178 2510026767 3346702356 5020053534 10040107068