Search a number
-
+
115572026880 = 2933511291481
BaseRepresentation
bin110101110100010100…
…0010010111000000000
3102001022102011021022000
41223220220102320000
53343142414330010
6125032033344000
711230661006532
oct1535050227000
9361272137260
10115572026880
114501743a402
121a494a08000
13ab8aa0bb2b
145845229852
1530163937c0
hex1ae8a12e00

115572026880 has 320 divisors, whose sum is σ = 411162523200. Its totient is φ = 30771118080.

The previous prime is 115572026879. The next prime is 115572026881. The reversal of 115572026880 is 88620275511.

115572026880 is a `hidden beast` number, since 1 + 15 + 572 + 0 + 2 + 68 + 8 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (115572026879) and next prime (115572026881).

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115572026881) 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, 78035740 + ... + 78037220.

It is an arithmetic number, because the mean of its divisors is an integer number (1284882885).

Almost surely, 2115572026880 is an apocalyptic number.

115572026880 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 115572026880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205581261600).

115572026880 is an abundant number, since it is smaller than the sum of its proper divisors (295590496320).

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

115572026880 is a wasteful number, since it uses less digits than its factorization.

115572026880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2642 (or 2620 counting only the distinct ones).

The product of its (nonzero) digits is 268800, while the sum is 45.

The spelling of 115572026880 in words is "one hundred fifteen billion, five hundred seventy-two million, twenty-six thousand, eight hundred eighty".