Search a number
-
+
613474745040 = 24325852048257
BaseRepresentation
bin10001110110101011111…
…00011011101011010000
32011122111002222000201100
420323111330123223100
540022344013320130
61145454300504400
762215322202663
oct10732574335320
92148432860640
10613474745040
1121719a555a23
129aa8b54b100
1345b094b1021
1421999aad6da
1510e57ce9c60
hex8ed5f1bad0

613474745040 has 60 divisors (see below), whose sum is σ = 2060252687844. Its totient is φ = 163593265152.

The previous prime is 613474745027. The next prime is 613474745041. The reversal of 613474745040 is 40547474316.

613474745040 is a `hidden beast` number, since 6 + 1 + 3 + 4 + 74 + 74 + 504 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 103627335744 + 509847409296 = 321912^2 + 714036^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (613474745041) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 426023409 + ... + 426024848.

Almost surely, 2613474745040 is an apocalyptic number.

613474745040 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

613474745040 is an abundant number, since it is smaller than the sum of its proper divisors (1446777942804).

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

613474745040 is a wasteful number, since it uses less digits than its factorization.

613474745040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 852048276 (or 852048267 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 613474745040 in words is "six hundred thirteen billion, four hundred seventy-four million, seven hundred forty-five thousand, forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 852048257 1704096514 2556144771 3408193028 4260241285 5112289542 6816386056 7668434313 8520482570 10224579084 12780723855 13632772112 15336868626 17040965140 20449158168 25561447710 30673737252 34081930280 38342171565 40898316336 51122895420 61347474504 68163860560 76684343130 102245790840 122694949008 153368686260 204491581680 306737372520 613474745040