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538629135264 = 2533111961107457
BaseRepresentation
bin1111101011010001100…
…11000101101110100000
31220111021222202002212000
413311220303011232200
532311103024312024
61051235351404000
753625506052063
oct7655063055640
91814258662760
10538629135264
11198482117580
1288481983600
133ba3c1b306c
141c0d97048da
15e0270cccc9
hex7d68cc5ba0

538629135264 has 768 divisors, whose sum is σ = 1854781286400. Its totient is φ = 150344294400.

The previous prime is 538629135263. The next prime is 538629135271. The reversal of 538629135264 is 462531926835.

It is a happy number.

538629135264 is a `hidden beast` number, since 5 + 3 + 8 + 629 + 1 + 3 + 5 + 2 + 6 + 4 = 666.

538629135264 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 538629135264.

It is not an unprimeable number, because it can be changed into a prime (538629135263) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1178619324 + ... + 1178619780.

It is an arithmetic number, because the mean of its divisors is an integer number (2415079800).

Almost surely, 2538629135264 is an apocalyptic number.

538629135264 is a gapful number since it is divisible by the number (54) 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 538629135264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (927390643200).

538629135264 is an abundant number, since it is smaller than the sum of its proper divisors (1316152151136).

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

538629135264 is a wasteful number, since it uses less digits than its factorization.

538629135264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 674 (or 660 counting only the distinct ones).

The product of its digits is 9331200, while the sum is 54.

The spelling of 538629135264 in words is "five hundred thirty-eight billion, six hundred twenty-nine million, one hundred thirty-five thousand, two hundred sixty-four".