Search a number
-
+
53045100288 = 283361971297
BaseRepresentation
bin110001011001101110…
…111111111100000000
312001220210201021221000
4301121232333330000
51332114021202123
640211340332000
73555335625105
oct613156777400
9161823637830
1053045100288
1120550637a64
12a344844000
1350048b540b
1427d2d16aac
1515a6d96b43
hexc59bbff00

53045100288 has 288 divisors, whose sum is σ = 161203085120. Its totient is φ = 17199267840.

The previous prime is 53045100287. The next prime is 53045100293. The reversal of 53045100288 is 88200154035.

It is a happy number.

53045100288 is a `hidden beast` number, since 530 + 45 + 1 + 0 + 0 + 2 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (53045100287) 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, 40897656 + ... + 40898952.

Almost surely, 253045100288 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 53045100288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80601542560).

53045100288 is an abundant number, since it is smaller than the sum of its proper divisors (108157984832).

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

53045100288 is a wasteful number, since it uses less digits than its factorization.

53045100288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1480 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The spelling of 53045100288 in words is "fifty-three billion, forty-five million, one hundred thousand, two hundred eighty-eight".