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2593583930357 = 72291825182217
BaseRepresentation
bin100101101111011101101…
…001100001101111110101
3100011221111022201210112022
4211233131221201233311
5314443124441232412
65303250452402525
7355244266443500
oct45573551415765
910157438653468
102593583930357
1190aa29572292
1235a7a2016445
1315a75cb79064
148d75c97a137
15476e9927a72
hex25bdda61bf5

2593583930357 has 12 divisors (see below), whose sum is σ = 3121061592780. Its totient is φ = 2146414286016.

The previous prime is 2593583930347. The next prime is 2593583930359. The reversal of 2593583930357 is 7530393853952.

It can be written as a sum of positive squares in 2 ways, for example, as 1505997750481 + 1087586179876 = 1227191^2 + 1042874^2 .

It is not a de Polignac number, because 2593583930357 - 24 = 2593583930341 is a prime.

It is a super-2 number, since 2×25935839303572 (a number of 26 digits) contains 22 as substring.

It is a Smith number, since the sum of its digits (62) coincides with the sum of the digits of its prime factors.

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 2593583930357.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2593583930359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 912589688 + ... + 912592529.

It is an arithmetic number, because the mean of its divisors is an integer number (260088466065).

Almost surely, 22593583930357 is an apocalyptic number.

It is an amenable number.

2593583930357 is a deficient number, since it is larger than the sum of its proper divisors (527477662423).

2593583930357 is a wasteful number, since it uses less digits than its factorization.

2593583930357 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1825182260 (or 1825182253 counting only the distinct ones).

The product of its (nonzero) digits is 91854000, while the sum is 62.

The spelling of 2593583930357 in words is "two trillion, five hundred ninety-three billion, five hundred eighty-three million, nine hundred thirty thousand, three hundred fifty-seven".

Divisors: 1 7 29 49 203 1421 1825182217 12776275519 52930284293 89433928633 370511990051 2593583930357