Search a number
-
+
10055050560 = 263358771327
BaseRepresentation
bin10010101110101001…
…11110010101000000
3221221202100111022000
421113110332111000
5131043043104220
64341430344000
7504113343132
oct112724762500
927852314260
1010055050560
11429a8a5345
121b474bb000
13c43223679
146b55b3052
153dcb34390
hex25753e540

10055050560 has 224 divisors, whose sum is σ = 35539192320. Its totient is φ = 2676271104.

The previous prime is 10055050543. The next prime is 10055050561. The reversal of 10055050560 is 6505055001.

10055050560 is a `hidden beast` number, since 1 + 0 + 0 + 5 + 50 + 50 + 560 = 666.

It is a super-2 number, since 2×100550505602 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10055050561) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7576617 + ... + 7577943.

Almost surely, 210055050560 is an apocalyptic number.

10055050560 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 10055050560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17769596160).

10055050560 is an abundant number, since it is smaller than the sum of its proper divisors (25484141760).

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

10055050560 is a wasteful number, since it uses less digits than its factorization.

10055050560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2230 (or 2214 counting only the distinct ones).

The product of its (nonzero) digits is 3750, while the sum is 27.

The spelling of 10055050560 in words is "ten billion, fifty-five million, fifty thousand, five hundred sixty".