Search a number
-
+
10938259080 = 23325715727647
BaseRepresentation
bin10100010111111100…
…01001011010001000
31001020022021010121200
422023332021122020
5134400143242310
65005220504200
7535026445110
oct121376113210
931208233550
1010938259080
1147033a8a41
12215324b060
1310541bb168
1475a9dc040
154404459c0
hex28bf89688

10938259080 has 192 divisors, whose sum is σ = 40888074240. Its totient is φ = 2484158976.

The previous prime is 10938259049. The next prime is 10938259159. The reversal of 10938259080 is 8095283901.

It is a happy number.

10938259080 is a `hidden beast` number, since 109 + 382 + 5 + 90 + 80 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 381817 + ... + 409463.

It is an arithmetic number, because the mean of its divisors is an integer number (212958720).

Almost surely, 210938259080 is an apocalyptic number.

10938259080 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 10938259080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20444037120).

10938259080 is an abundant number, since it is smaller than the sum of its proper divisors (29949815160).

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

10938259080 is a wasteful number, since it uses less digits than its factorization.

10938259080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27828 (or 27821 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 10938259080 in words is "ten billion, nine hundred thirty-eight million, two hundred fifty-nine thousand, eighty".