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538202004912 = 24321113219910103
BaseRepresentation
bin1111101010011110101…
…01101101110110110000
31220110012020000122011100
413311033111231312300
532304214203124122
61051125132444400
753612101363065
oct7651725556660
91813166018140
10538202004912
11198283001190
1288382919700
133b9a1862a00
141c098abac6c
15deee85aaac
hex7d4f56ddb0

538202004912 has 360 divisors, whose sum is σ = 1788383750400. Its totient is φ = 149774676480.

The previous prime is 538202004863. The next prime is 538202004917. The reversal of 538202004912 is 219400202835.

It is a happy number.

It is a super-2 number, since 2×5382020049122 (a number of 24 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (538202004917) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 53266453 + ... + 53276555.

It is an arithmetic number, because the mean of its divisors is an integer number (4967732640).

Almost surely, 2538202004912 is an apocalyptic number.

538202004912 is a gapful number since it is divisible by the number (52) 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 538202004912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (894191875200).

538202004912 is an abundant number, since it is smaller than the sum of its proper divisors (1250181745488).

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

538202004912 is a wasteful number, since it uses less digits than its factorization.

538202004912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10353 (or 10331 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 538202004912 in words is "five hundred thirty-eight billion, two hundred two million, four thousand, nine hundred twelve".