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535412000000000 = 21159133853
BaseRepresentation
bin111100110111101000101001…
…0000100011000100000000000
32121012201212221212002001200002
41321233101102010120200000
51030134142234000000000
65134420513251215132
7220530145324464104
oct17157212204304000
92535655855061602
10535412000000000
11145664a54924352
12500725235a74a8
1319c9a19a66a036
149630116d6d904
1541d74650628d5
hex1e6f452118800

535412000000000 has 240 divisors, whose sum is σ = 1338213070974780. Its totient is φ = 214163200000000.

The previous prime is 535411999999949. The next prime is 535412000000107. The reversal of 535412000000000 is 214535.

It can be written as a sum of positive squares in 10 ways, for example, as 457564271125504 + 77847728874496 = 21390752^2 + 8823136^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3999933074 + ... + 4000066926.

Almost surely, 2535412000000000 is an apocalyptic number.

535412000000000 is a gapful number since it is divisible by the number (50) 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 535412000000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (669106535487390).

535412000000000 is an abundant number, since it is smaller than the sum of its proper divisors (802801070974780).

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

535412000000000 is an frugal number, since it uses more digits than its factorization.

535412000000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133920 (or 133860 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

Adding to 535412000000000 its reverse (214535), we get a palindrome (535412000214535).

The spelling of 535412000000000 in words is "five hundred thirty-five trillion, four hundred twelve billion", and thus it is an aban number.