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1939415531641 = 749722932
BaseRepresentation
bin11100001110001110001…
…011001000000001111001
320212101222012110222100121
4130032032023020001321
5223233410334003031
64042542153333241
7260055345010000
oct34161613100171
96771865428317
101939415531641
11688557564025
12273a56407221
13110b699b8c23
1469c22537c37
15356ae2c9011
hex1c38e2c8079

1939415531641 has 45 divisors (see below), whose sum is σ = 2293911164301. Its totient is φ = 1639603397376.

The previous prime is 1939415531611. The next prime is 1939415531659. The reversal of 1939415531641 is 1461355149391.

It is a happy number.

The square root of 1939415531641 is 1392629.

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

It can be written as a sum of positive squares in 4 ways, for example, as 445984888041 + 1493430643600 = 667821^2 + 1222060^2 .

It is not a de Polignac number, because 1939415531641 - 227 = 1939281313913 is a prime.

It is a super-2 number, since 2×19394155316412 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1939415531611) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 6619165491 + ... + 6619165783.

Almost surely, 21939415531641 is an apocalyptic number.

1939415531641 is the 1392629-th square number.

1939415531641 is the 696315-th centered octagonal number.

It is an amenable number.

1939415531641 is a deficient number, since it is larger than the sum of its proper divisors (354495632660).

1939415531641 is an frugal number, since it uses more digits than its factorization.

1939415531641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 808 (or 397 counting only the distinct ones).

The product of its digits is 1749600, while the sum is 52.

The spelling of 1939415531641 in words is "one trillion, nine hundred thirty-nine billion, four hundred fifteen million, five hundred thirty-one thousand, six hundred forty-one".

Divisors: 1 7 49 97 293 343 679 2051 2401 4753 9409 14357 28421 33271 65863 85849 100499 198947 232897 461041 600943 703493 1392629 2756837 3227287 4206601 8327353 9748403 19297859 22591009 29446207 58291471 68238821 135085013 206123449 408040297 807753241 945595091 2856282079 5654272687 6619165637 19993974553 39579908809 277059361663 1939415531641