Search a number
-
+
67452004261420 = 22567599487717231
BaseRepresentation
bin11110101011000111001001…
…10000001101111000101100
322211211100102011010001202121
433111203210300031320230
532320113201042331140
6355243004544002324
720131150355143312
oct1725434460157054
9284740364101677
1067452004261420
111a546263a32099
1276947979003a4
132b83909891a6c
1412929a170a0b2
157be8ac49564a
hex3d58e4c0de2c

67452004261420 has 96 divisors (see below), whose sum is σ = 144041267865600. Its totient is φ = 26526752229120.

The previous prime is 67452004261391. The next prime is 67452004261429. The reversal of 67452004261420 is 2416240025476.

67452004261420 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (67452004261429) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3914564205 + ... + 3914581435.

It is an arithmetic number, because the mean of its divisors is an integer number (1500429873600).

Almost surely, 267452004261420 is an apocalyptic number.

It is an amenable number.

67452004261420 is an abundant number, since it is smaller than the sum of its proper divisors (76589263604180).

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

67452004261420 is a wasteful number, since it uses less digits than its factorization.

67452004261420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22783 (or 22781 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 43.

Adding to 67452004261420 its reverse (2416240025476), we get a palindrome (69868244286896).

The spelling of 67452004261420 in words is "sixty-seven trillion, four hundred fifty-two billion, four million, two hundred sixty-one thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 67 134 268 335 599 670 1198 1340 2396 2995 4877 5990 9754 11980 17231 19508 24385 34462 40133 48770 68924 80266 86155 97540 160532 172310 200665 326759 344620 401330 653518 802660 1154477 1307036 1633795 2308954 2921323 3267590 4617908 5772385 5842646 6535180 10321369 11544770 11685292 14606615 20642738 23089540 29213230 41285476 51606845 58426460 84035587 103213690 168071174 195728641 206427380 336142348 391457282 420177935 691531723 782914564 840355870 978643205 1383063446 1680711740 1957286410 2766126892 3457658615 3914572820 5630384329 6915317230 11260768658 13830634460 22521537316 28151921645 50337316613 56303843290 100674633226 112607686580 201349266452 251686583065 503373166130 1006746332260 3372600213071 6745200426142 13490400852284 16863001065355 33726002130710 67452004261420