Search a number
-
+
45140836608 = 283275694919
BaseRepresentation
bin101010000010100110…
…101000000100000000
311022111221110002120100
4222002212220010000
51214422023232413
632423140442400
73155426531430
oct520246500400
9138457402510
1045140836608
111816490973a
1288b96a9400
13434515220a
1422832502c0
151292eaca73
hexa829a8100

45140836608 has 216 divisors, whose sum is σ = 149037033600. Its totient is φ = 12872097792.

The previous prime is 45140836603. The next prime is 45140836613. The reversal of 45140836608 is 80663804154.

45140836608 is a `hidden beast` number, since 4 + 5 + 1 + 4 + 0 + 8 + 36 + 608 = 666.

It is an interprime number because it is at equal distance from previous prime (45140836603) and next prime (45140836613).

It is not an unprimeable number, because it can be changed into a prime (45140836603) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 9174373 + ... + 9179291.

Almost surely, 245140836608 is an apocalyptic number.

45140836608 is a gapful number since it is divisible by the number (48) 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 45140836608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74518516800).

45140836608 is an abundant number, since it is smaller than the sum of its proper divisors (103896196992).

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

45140836608 is a wasteful number, since it uses less digits than its factorization.

45140836608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5517 (or 5500 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 45140836608 in words is "forty-five billion, one hundred forty million, eight hundred thirty-six thousand, six hundred eight".