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948070268721 = 3246327012
BaseRepresentation
bin11011100101111010110…
…01000011111100110001
310100122010122110202012100
431302331121003330301
5111013121442044341
62003312032051013
7125332031214402
oct15627531037461
93318118422170
10948070268721
1133608aa50204
121338aa993a69
136b5307b56b4
1433c5b70d9a9
15199dc78e3b6
hexdcbd643f31

948070268721 has 27 divisors (see below), whose sum is σ = 1374359529387. Its totient is φ = 629782045200.

The previous prime is 948070268693. The next prime is 948070268737. The reversal of 948070268721 is 127862070849.

It is a happy number.

The square root of 948070268721 is 973689.

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

948070268721 is a `hidden beast` number, since 9 + 480 + 70 + 26 + 8 + 72 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 817648169121 + 130422099600 = 904239^2 + 361140^2 .

It is not a de Polignac number, because 948070268721 - 25 = 948070268689 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (948070260721) 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 26 ways as a sum of consecutive naturals, for example, 1352453671 + ... + 1352454371.

Almost surely, 2948070268721 is an apocalyptic number.

948070268721 is the 973689-th square number.

948070268721 is the 486845-th centered octagonal number.

It is an amenable number.

948070268721 is a deficient number, since it is larger than the sum of its proper divisors (426289260666).

948070268721 is an frugal number, since it uses more digits than its factorization.

948070268721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2334 (or 1167 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 948070268721 in words is "nine hundred forty-eight billion, seventy million, two hundred sixty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 463 701 1389 2103 4167 6309 214369 324563 491401 643107 973689 1474203 1929321 2921067 4422609 150272669 227518663 450818007 682555989 1352454021 2047667967 105341140969 316023422907 948070268721