Search a number
-
+
10978189146 = 233286171059
BaseRepresentation
bin10100011100101100…
…11101111101011010
31001100002101210101000
422032112131331122
5134440404023041
65013204405430
7536023032231
oct121626357532
931302353330
1010978189146
1147239a0aa1
1221646a6876
13105c55bc12
14762033b18
15443bd1bb6
hex28e59df5a

10978189146 has 32 divisors (see below), whose sum is σ = 24404846400. Its totient is φ = 3658065840.

The previous prime is 10978189141. The next prime is 10978189147. The reversal of 10978189146 is 64198187901.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 10978189092 and 10978189101.

It is not an unprimeable number, because it can be changed into a prime (10978189141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 118965 + ... + 190023.

It is an arithmetic number, because the mean of its divisors is an integer number (762651450).

Almost surely, 210978189146 is an apocalyptic number.

10978189146 is an abundant number, since it is smaller than the sum of its proper divisors (13426657254).

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

10978189146 is a wasteful number, since it uses less digits than its factorization.

10978189146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 73931 (or 73925 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 54.

The spelling of 10978189146 in words is "ten billion, nine hundred seventy-eight million, one hundred eighty-nine thousand, one hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 2861 5722 8583 17166 25749 51498 71059 77247 142118 154494 213177 426354 639531 1279062 1918593 3837186 203299799 406599598 609899397 1219798794 1829698191 3659396382 5489094573 10978189146