Search a number
-
+
10108949760 = 283257139643
BaseRepresentation
bin10010110101000101…
…00101010100000000
3222002111202212002200
421122202211110000
5131200342343020
64351033513200
7505336440510
oct113242452400
928074685080
1010108949760
114318269638
121b61572800
13c514457a0
146bc803840
153e272e590
hex25a8a5500

10108949760 has 432 divisors, whose sum is σ = 43051741824. Its totient is φ = 2132656128.

The previous prime is 10108949693. The next prime is 10108949761. The reversal of 10108949760 is 6794980101.

It is a happy number.

10108949760 is a `hidden beast` number, since 10 + 10 + 89 + 497 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10108949761) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1043499 + ... + 1053141.

Almost surely, 210108949760 is an apocalyptic number.

10108949760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10108949760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21525870912).

10108949760 is an abundant number, since it is smaller than the sum of its proper divisors (32942792064).

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

10108949760 is a wasteful number, since it uses less digits than its factorization.

10108949760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9690 (or 9673 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The spelling of 10108949760 in words is "ten billion, one hundred eight million, nine hundred forty-nine thousand, seven hundred sixty".