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5714825814 = 2321989191983
BaseRepresentation
bin1010101001010000…
…10101001001010110
3112202021110020020100
411110220111021112
543200443411224
62343024314530
7261422134515
oct52450251126
915667406210
105714825814
112472963245
121135a72a46
13700c8c249
143c2db867c
15236aa6ac9
hex154a15256

5714825814 has 96 divisors (see below), whose sum is σ = 13262745600. Its totient is φ = 1773256320.

The previous prime is 5714825797. The next prime is 5714825819. The reversal of 5714825814 is 4185284175.

5714825814 is a `hidden beast` number, since 57 + 14 + 8 + 2 + 581 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 5714825814.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5714825819) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5813167 + ... + 5814149.

It is an arithmetic number, because the mean of its divisors is an integer number (138153600).

Almost surely, 25714825814 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5714825814, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6631372800).

5714825814 is an abundant number, since it is smaller than the sum of its proper divisors (7547919786).

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

5714825814 is a wasteful number, since it uses less digits than its factorization.

5714825814 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1290 (or 1287 counting only the distinct ones).

The product of its digits is 358400, while the sum is 45.

The square root of 5714825814 is about 75596.4669412533. The cubic root of 5714825814 is about 1787.8633947404.

The spelling of 5714825814 in words is "five billion, seven hundred fourteen million, eight hundred twenty-five thousand, eight hundred fourteen".

Divisors: 1 2 3 6 9 18 19 38 57 89 114 171 178 191 267 342 382 534 573 801 983 1146 1602 1691 1719 1966 2949 3382 3438 3629 5073 5898 7258 8847 10146 10887 15219 16999 17694 18677 21774 30438 32661 33998 37354 50997 56031 65322 87487 101994 112062 152991 168093 174974 187753 262461 305982 322981 336186 375506 524922 563259 645962 787383 968943 1126518 1574766 1662253 1689777 1937886 2906829 3324506 3379554 3567307 4986759 5813658 7134614 9973518 10701921 14960277 16710017 21403842 29920554 32105763 33420034 50130051 64211526 100260102 150390153 300780306 317490323 634980646 952470969 1904941938 2857412907 5714825814