Search a number
-
+
4113551520 = 253351389823
BaseRepresentation
bin1111010100101111…
…1101000010100000
3101121200101001212000
43311023331002200
531411032122040
61520103404000
7203636416401
oct36513750240
911550331760
104113551520
111820aa1161
12969753600
135072cb470
142b04719a8
15191205130
hexf52fd0a0

4113551520 has 384 divisors, whose sum is σ = 15698188800. Its totient is φ = 999972864.

The previous prime is 4113551473. The next prime is 4113551521. The reversal of 4113551520 is 251553114.

4113551520 is a `hidden beast` number, since 4 + 1 + 135 + 5 + 1 + 520 = 666.

4113551520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×41135515202 = 33842612215388620800, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4113551521) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4997829 + ... + 4998651.

It is an arithmetic number, because the mean of its divisors is an integer number (40880700).

Almost surely, 24113551520 is an apocalyptic number.

4113551520 is a gapful number since it is divisible by the number (40) 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 4113551520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7849094400).

4113551520 is an abundant number, since it is smaller than the sum of its proper divisors (11584637280).

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

4113551520 is a wasteful number, since it uses less digits than its factorization.

4113551520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 949 (or 935 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

The square root of 4113551520 is about 64136.9746714015. The cubic root of 4113551520 is about 1602.2820976381.

The spelling of 4113551520 in words is "four billion, one hundred thirteen million, five hundred fifty-one thousand, five hundred twenty".