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5113394064 = 24325921012
BaseRepresentation
bin1001100001100100…
…00011001110010000
3111012100202022222100
410300302003032100
540433012102224
62203221440400
7240500063262
oct46062031620
914170668870
105113394064
112194417709
12ba8570100
136364b1a7c
1436717bb32
151edda4ac9
hex130c83390

5113394064 has 135 divisors (see below), whose sum is σ = 14702617969. Its totient is φ = 1658985600.

The previous prime is 5113394047. The next prime is 5113394137. The reversal of 5113394064 is 4604933115.

The square root of 5113394064 is 71508.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 4912888464 + 200505600 = 70092^2 + 14160^2 .

It is a super-2 number, since 2×51133940642 = 52293597707500872192, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50627614 + ... + 50627714.

Almost surely, 25113394064 is an apocalyptic number.

5113394064 is the 71508-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5113394064

5113394064 is an abundant number, since it is smaller than the sum of its proper divisors (9589223905).

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

5113394064 is a wasteful number, since it uses less digits than its factorization.

5113394064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 334 (or 165 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 36.

The cubic root of 5113394064 is about 1722.8061799991.

Multiplying 5113394064 by its sum of digits (36), we get a square (184082186304 = 4290482).

5113394064 divided by its sum of digits (36) gives a square (142038724 = 119182).

The spelling of 5113394064 in words is "five billion, one hundred thirteen million, three hundred ninety-four thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 59 72 101 118 144 177 202 236 303 354 404 472 531 606 708 808 909 944 1062 1212 1416 1616 1818 2124 2424 2832 3481 3636 4248 4848 5959 6962 7272 8496 10201 10443 11918 13924 14544 17877 20402 20886 23836 27848 30603 31329 35754 40804 41772 47672 53631 55696 61206 62658 71508 81608 83544 91809 95344 107262 122412 125316 143016 163216 167088 183618 214524 244824 250632 286032 351581 367236 429048 489648 501264 601859 703162 734472 858096 1054743 1203718 1406324 1468944 1805577 2109486 2407436 2812648 3164229 3611154 4218972 4814872 5416731 5625296 6328458 7222308 8437944 9629744 10833462 12656916 14444616 16875888 21666924 25313832 28889232 35509681 43333848 50627664 71019362 86667696 106529043 142038724 213058086 284077448 319587129 426116172 568154896 639174258 852232344 1278348516 1704464688 2556697032 5113394064