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1379536641 = 327229269401
BaseRepresentation
bin101001000111010…
…0000111100000001
310120010211201111200
41102032200330001
510311130133031
6344520131413
746120603500
oct12216407401
93503751450
101379536641
1164879232a
12326006b69
1318ca65492
14d1306837
15811a18e6
hex523a0f01

1379536641 has 72 divisors (see below), whose sum is σ = 2412844200. Its totient is φ = 756403200.

The previous prime is 1379536637. The next prime is 1379536651. The reversal of 1379536641 is 1466359731.

It is a happy number.

1379536641 is a `hidden beast` number, since 1 + 3 + 79 + 536 + 6 + 41 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 299428416 + 1080108225 = 17304^2 + 32865^2 .

It is not a de Polignac number, because 1379536641 - 22 = 1379536637 is a prime.

It is not an unprimeable number, because it can be changed into a prime (1379536651) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 3440041 + ... + 3440441.

It is an arithmetic number, because the mean of its divisors is an integer number (33511725).

Almost surely, 21379536641 is an apocalyptic number.

It is an amenable number.

1379536641 is a deficient number, since it is larger than the sum of its proper divisors (1033307559).

1379536641 is a wasteful number, since it uses less digits than its factorization.

1379536641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 719 (or 709 counting only the distinct ones).

The product of its digits is 408240, while the sum is 45.

The square root of 1379536641 is about 37142.1141159197. The cubic root of 1379536641 is about 1113.2116602324.

The spelling of 1379536641 in words is "one billion, three hundred seventy-nine million, five hundred thirty-six thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 29 49 63 87 147 203 261 269 401 441 609 807 1203 1421 1827 1883 2421 2807 3609 4263 5649 7801 8421 11629 12789 13181 16947 19649 23403 25263 34887 39543 54607 58947 70209 81403 104661 107869 118629 163821 176841 244209 323607 382249 491463 569821 732627 755083 970821 1146747 1709463 2265249 3128201 3440241 5128389 5285581 6795747 9384603 15856743 21897407 28153809 47570229 65692221 153281849 197076663 459845547 1379536641