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521434914000 = 2435371113175107
BaseRepresentation
bin1111001011001111111…
…00010101110011010000
31211211220200210011110020
413211213330111303100
532020344314222000
61035313251503440
752446433432110
oct7454774256320
91754820704406
10521434914000
11191159462660
12850835b7b80
133a22bba9a40
141b347d09040
15d86c83dba0
hex7967f15cd0

521434914000 has 1280 divisors, whose sum is σ = 2390391005184. Its totient is φ = 94113792000.

The previous prime is 521434913957. The next prime is 521434914023. The reversal of 521434914000 is 419434125.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 102099447 + ... + 102104553.

Almost surely, 2521434914000 is an apocalyptic number.

521434914000 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 521434914000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1195195502592).

521434914000 is an abundant number, since it is smaller than the sum of its proper divisors (1868956091184).

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

521434914000 is a wasteful number, since it uses less digits than its factorization.

521434914000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5181 (or 5165 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 521434914000 in words is "five hundred twenty-one billion, four hundred thirty-four million, nine hundred fourteen thousand".