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5419706328 = 2333241104113
BaseRepresentation
bin1010000110000101…
…00010011111011000
3111222201010121102000
411003002202133120
542044421100303
62253443041000
7251206513041
oct50302423730
914881117360
105419706328
112331312643
121073070160
13684aaca2a
14395b158c8
1521ac0dda3
hex1430a27d8

5419706328 has 64 divisors (see below), whose sum is σ = 15117352800. Its totient is φ = 1799055360.

The previous prime is 5419706321. The next prime is 5419706363. The reversal of 5419706328 is 8236079145.

5419706328 is a `hidden beast` number, since 5 + 4 + 1 + 9 + 7 + 0 + 632 + 8 = 666.

5419706328 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

5419706328 is a nontrivial binomial coefficient, being equal to C(104113, 2).

5419706328 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5419706321) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1 + ... + 104112.

It is a 1-persistent number, because it is pandigital, but 2⋅5419706328 = 10839412656 is not.

Almost surely, 25419706328 is an apocalyptic number.

5419706328 is the 104112-nd triangular number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5419706328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7558676400).

5419706328 is an abundant number, since it is smaller than the sum of its proper divisors (9697646472).

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

5419706328 is a wasteful number, since it uses less digits than its factorization.

5419706328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104369 (or 104359 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5419706328 is about 73618.6547554355. The cubic root of 5419706328 is about 1756.5421874131.

The spelling of 5419706328 in words is "five billion, four hundred nineteen million, seven hundred six thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 241 482 723 964 1446 1928 2169 2892 4338 5784 6507 8676 13014 17352 26028 52056 104113 208226 312339 416452 624678 832904 937017 1249356 1874034 2498712 2811051 3748068 5622102 7496136 11244204 22488408 25091233 50182466 75273699 100364932 150547398 200729864 225821097 301094796 451642194 602189592 677463291 903284388 1354926582 1806568776 2709853164 5419706328