Search a number
-
+
137486707264 = 26463492
BaseRepresentation
bin1000000000001011011…
…0001010101001000000
3111010212200111101021001
42000002312022221000
54223033044113024
6143054401141344
712635022505144
oct2000266125100
9433780441231
10137486707264
1153342731105
122279002a854
13cc70c8a32a
14692391b224
15389a26c244
hex2002d8aa40

137486707264 has 21 divisors (see below), whose sum is σ = 272831071177. Its totient is φ = 68741870464.

The previous prime is 137486707249. The next prime is 137486707283. The reversal of 137486707264 is 462707684731.

It is a happy number.

The square root of 137486707264 is 370792.

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., 25342092864 + 112144614400 = 159192^2 + 334880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2943162 + ... + 2989510.

Almost surely, 2137486707264 is an apocalyptic number.

137486707264 is the 370792-nd square number.

It is an amenable number.

137486707264 is a deficient number, since it is larger than the sum of its proper divisors (135344363913).

137486707264 is an frugal number, since it uses more digits than its factorization.

137486707264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92710 (or 46351 counting only the distinct ones).

The product of its (nonzero) digits is 9483264, while the sum is 55.

The spelling of 137486707264 in words is "one hundred thirty-seven billion, four hundred eighty-six million, seven hundred seven thousand, two hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 46349 92698 185396 370792 741584 1483168 2966336 2148229801 4296459602 8592919204 17185838408 34371676816 68743353632 137486707264