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137563130333 = 5323395311689
BaseRepresentation
bin1000000000011101100…
…1101100100111011101
3111011002000022002000002
42000013121230213131
54223212130132313
6143110131144045
712636641213006
oct2000731544735
9434060262002
10137563130333
1153381889972
12227b1745025
13cc83a67595
14692db321ad
1538a1d16058
hex200766c9dd

137563130333 has 16 divisors (see below), whose sum is σ = 140919957360. Its totient is φ = 134235838464.

The previous prime is 137563130251. The next prime is 137563130357. The reversal of 137563130333 is 333031365731.

It can be written as a sum of positive squares in 8 ways, for example, as 9085330489 + 128477799844 = 95317^2 + 358438^2 .

It is a cyclic number.

It is not a de Polignac number, because 137563130333 - 214 = 137563113949 is a prime.

It is a super-2 number, since 2×1375631303332 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137563130363) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11762753 + ... + 11774441.

It is an arithmetic number, because the mean of its divisors is an integer number (8807497335).

Almost surely, 2137563130333 is an apocalyptic number.

It is an amenable number.

137563130333 is a deficient number, since it is larger than the sum of its proper divisors (3356827027).

137563130333 is a wasteful number, since it uses less digits than its factorization.

137563130333 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12928.

The product of its (nonzero) digits is 153090, while the sum is 38.

The spelling of 137563130333 in words is "one hundred thirty-seven billion, five hundred sixty-three million, one hundred thirty thousand, three hundred thirty-three".

Divisors: 1 53 233 953 11689 12349 50509 222049 619517 2723537 11139617 11768597 144347461 590399701 2595530761 137563130333