Search a number
-
+
66152300481 = 3317377353359
BaseRepresentation
bin111101100110111110…
…111111111111000001
320022202021020001102000
4331212332333333001
52040434442103411
650220121214213
74531213163541
oct754676777701
9208667201360
1066152300481
1126067281513
12109a2331369
13631324bc87
1432b79c9321
151ac2921956
hexf66fbffc1

66152300481 has 64 divisors (see below), whose sum is σ = 108034790400. Its totient is φ = 39831533568.

The previous prime is 66152300449. The next prime is 66152300491. The reversal of 66152300481 is 18400325166.

It is a happy number.

66152300481 is a `hidden beast` number, since 6 + 615 + 2 + 30 + 0 + 4 + 8 + 1 = 666.

It is not a de Polignac number, because 66152300481 - 25 = 66152300449 is a prime.

It is a super-2 number, since 2×661523004812 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66152300491) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1213080 + ... + 1266438.

It is an arithmetic number, because the mean of its divisors is an integer number (1688043600).

Almost surely, 266152300481 is an apocalyptic number.

It is an amenable number.

66152300481 is a deficient number, since it is larger than the sum of its proper divisors (41882489919).

66152300481 is a wasteful number, since it uses less digits than its factorization.

66152300481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53495 (or 53489 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 66152300481 in words is "sixty-six billion, one hundred fifty-two million, three hundred thousand, four hundred eighty-one".

Divisors: 1 3 9 17 27 37 51 73 111 153 219 333 459 629 657 999 1241 1887 1971 2701 3723 5661 8103 11169 16983 24309 33507 45917 53359 72927 137751 160077 413253 480231 907103 1239759 1440693 1974283 2721309 3895207 5922849 8163927 11685621 17768547 24491781 33562811 35056863 53305641 66218519 100688433 105170589 144122659 198655557 302065299 432367977 595966671 906195897 1297103931 1787900013 2450085203 3891311793 7350255609 22050766827 66152300481