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34936130593 = 7213227359673
BaseRepresentation
bin100000100010010110…
…110000110000100001
310100011202111022120201
4200202112300300201
51033022122134333
624014402305201
72344515132100
oct404226606041
9110152438521
1034936130593
11138a8598001
126930058201
1333a9c20730
141995c42037
15d9716617d
hex8225b0c21

34936130593 has 48 divisors (see below), whose sum is σ = 44146892160. Its totient is φ = 27402568704.

The previous prime is 34936130513. The next prime is 34936130599. The reversal of 34936130593 is 39503163943.

It is not a de Polignac number, because 34936130593 - 213 = 34936122401 is a prime.

It is a super-2 number, since 2×349361305932 (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (34936130599) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 51910705 + ... + 51911377.

It is an arithmetic number, because the mean of its divisors is an integer number (919726920).

Almost surely, 234936130593 is an apocalyptic number.

It is an amenable number.

34936130593 is a deficient number, since it is larger than the sum of its proper divisors (9210761567).

34936130593 is a wasteful number, since it uses less digits than its factorization.

34936130593 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1286 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 787320, while the sum is 46.

The spelling of 34936130593 in words is "thirty-four billion, nine hundred thirty-six million, one hundred thirty thousand, five hundred ninety-three".

Divisors: 1 7 13 49 91 227 359 637 673 1589 2513 2951 4667 4711 8749 11123 17591 20657 32669 32977 61243 81493 144599 152771 228683 241607 428701 570451 1059409 1069397 1691249 1986023 3140891 3993157 7415863 7485779 11838743 13902161 21986237 51911041 54844789 97315127 153903659 383913523 712982257 2687394661 4990875799 34936130593