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54434710000 = 245411539337
BaseRepresentation
bin110010101100100011…
…111100000111110000
312012111122111210002101
4302230203330013300
51342440241210000
641001300430144
73634641254266
oct625443740760
9165448453071
1054434710000
11210a3a7a340
12a6720a8354
135196766798
1428c56c2436
151638d87e6a
hexcac8fc1f0

54434710000 has 200 divisors, whose sum is σ = 146501342064. Its totient is φ = 19418880000.

The previous prime is 54434709991. The next prime is 54434710021. The reversal of 54434710000 is 1743445.

54434710000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

It is a super-3 number, since 3×544347100003 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5825332 + ... + 5834668.

Almost surely, 254434710000 is an apocalyptic number.

54434710000 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 54434710000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73250671032).

54434710000 is an abundant number, since it is smaller than the sum of its proper divisors (92066632064).

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

54434710000 is a wasteful number, since it uses less digits than its factorization.

54434710000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9429 (or 9408 counting only the distinct ones).

The product of its (nonzero) digits is 6720, while the sum is 28.

The spelling of 54434710000 in words is "fifty-four billion, four hundred thirty-four million, seven hundred ten thousand".