Search a number
-
+
2553277104 = 2432722315733
BaseRepresentation
bin1001100000101111…
…1110101010110000
320120221102220201200
42120023332222300
520212114331404
61101205331200
7120162332400
oct23013765260
96527386650
102553277104
1110a0292974
125b3106b00
13318c94371
141a315c800
15ee251839
hex982feab0

2553277104 has 180 divisors, whose sum is σ = 8674217136. Its totient is φ = 697745664.

The previous prime is 2553277049. The next prime is 2553277157. The reversal of 2553277104 is 4017723552.

2553277104 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 154422 + ... + 170154.

Almost surely, 22553277104 is an apocalyptic number.

2553277104 is a gapful number since it is divisible by the number (24) 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 2553277104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4337108568).

2553277104 is an abundant number, since it is smaller than the sum of its proper divisors (6120940032).

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

2553277104 is a wasteful number, since it uses less digits than its factorization.

2553277104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15784 (or 15768 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 36.

The square root of 2553277104 is about 50529.9624381416. The cubic root of 2553277104 is about 1366.7822085407.

The spelling of 2553277104 in words is "two billion, five hundred fifty-three million, two hundred seventy-seven thousand, one hundred four".