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320691159616 = 267129972
BaseRepresentation
bin1001010101010101010…
…11101100001001000000
31010122202111222211202011
410222222223230021000
520223233414101431
6403153512302304
732112011611012
oct4525253541100
91118674884664
10320691159616
11114005887813
125219a9a1994
132431976bb19
14117431401b2
15851de52cb1
hex4aaaaec240

320691159616 has 63 divisors (see below), whose sum is σ = 646108790457. Its totient is φ = 157928628480.

The previous prime is 320691159611. The next prime is 320691159617. The reversal of 320691159616 is 616951196023.

The square root of 320691159616 is 566296.

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., 276045160000 + 44645999616 = 525400^2 + 211296^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 320691159616.

It is not an unprimeable number, because it can be changed into a prime (320691159611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 321655630 + ... + 321656626.

Almost surely, 2320691159616 is an apocalyptic number.

320691159616 is the 566296-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 320691159616

320691159616 is an abundant number, since it is smaller than the sum of its proper divisors (325417630841).

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

320691159616 is an frugal number, since it uses more digits than its factorization.

320691159616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2148 (or 1070 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 49.

Multiplying 320691159616 by its sum of digits (49), we get a square (15713866821184 = 39640722).

The spelling of 320691159616 in words is "three hundred twenty billion, six hundred ninety-one million, one hundred fifty-nine thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 71 142 284 568 997 1136 1994 2272 3988 4544 5041 7976 10082 15952 20164 31904 40328 63808 70787 80656 141574 161312 283148 322624 566296 994009 1132592 1988018 2265184 3976036 4530368 5025877 7952072 10051754 15904144 20103508 31808288 40207016 63616576 70574639 80414032 141149278 160828064 282298556 321656128 564597112 1129194224 2258388448 4516776896 5010799369 10021598738 20043197476 40086394952 80172789904 160345579808 320691159616