Search a number
-
+
10936028160 = 210335239331
BaseRepresentation
bin10100010111101011…
…01000110000000000
31001020011001210101000
422023311220300000
5134344110400120
65005101012000
7535001464011
oct121365506000
931204053330
1010936028160
114702114902
122152554000
1310538b98a5
1475a5bb008
15440154990
hex28bd68c00

10936028160 has 352 divisors, whose sum is σ = 39145190400. Its totient is φ = 2895298560.

The previous prime is 10936028149. The next prime is 10936028179. The reversal of 10936028160 is 6182063901.

10936028160 is a `hidden beast` number, since 10 + 9 + 360 + 281 + 6 + 0 = 666.

It is a super-5 number, since 5×109360281605 (a number of 51 digits) contains 55555 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 33039195 + ... + 33039525.

Almost surely, 210936028160 is an apocalyptic number.

10936028160 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 10936028160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19572595200).

10936028160 is an abundant number, since it is smaller than the sum of its proper divisors (28209162240).

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

10936028160 is a wasteful number, since it uses less digits than its factorization.

10936028160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 604 (or 580 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10936028160 in words is "ten billion, nine hundred thirty-six million, twenty-eight thousand, one hundred sixty".