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8241734656 = 21028372
BaseRepresentation
bin1111010110011111…
…01110010000000000
3210021101021111111201
413223033232100000
5113334341002111
63441452550544
7411144405631
oct75317562000
923241244451
108241734656
11354a276261
121720182454
13a1465068c
14582831888
1533384a6c1
hex1eb3ee400

8241734656 has 33 divisors (see below), whose sum is σ = 16481230129. Its totient is φ = 4119414784.

The previous prime is 8241734651. The next prime is 8241734681. The reversal of 8241734656 is 6564371428.

The square root of 8241734656 is 90784.

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., 282240000 + 7959494656 = 16800^2 + 89216^2 .

It is a super-2 number, since 2×82417346562 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8241734651) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2903670 + ... + 2906506.

Almost surely, 28241734656 is an apocalyptic number.

8241734656 is the 90784-th square number.

It is an amenable number.

8241734656 is a deficient number, since it is larger than the sum of its proper divisors (8239495473).

8241734656 is an frugal number, since it uses more digits than its factorization.

8241734656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5694 (or 2839 counting only the distinct ones).

The product of its digits is 967680, while the sum is 46.

The cubic root of 8241734656 is about 2019.9449921301.

The spelling of 8241734656 in words is "eight billion, two hundred forty-one million, seven hundred thirty-four thousand, six hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2837 5674 11348 22696 45392 90784 181568 363136 726272 1452544 2905088 8048569 16097138 32194276 64388552 128777104 257554208 515108416 1030216832 2060433664 4120867328 8241734656