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135633338037 = 32101199749807
BaseRepresentation
bin111111001010001100…
…0000111111010110101
3110222002112001110122100
41332110120013322311
54210234113304122
6142150433052313
712541056231261
oct1762430077265
9428075043570
10135633338037
11525815353aa
12223533b7099
13ca37002452
1467c97110a1
1537dc6c0aac
hex1f94607eb5

135633338037 has 24 divisors (see below), whose sum is σ = 198849081600. Its totient is φ = 89076952800.

The previous prime is 135633338023. The next prime is 135633338069. The reversal of 135633338037 is 730833336531.

135633338037 is a `hidden beast` number, since 1 + 3 + 5 + 633 + 3 + 3 + 8 + 0 + 3 + 7 = 666.

It is not a de Polignac number, because 135633338037 - 28 = 135633337781 is a prime.

It is a super-2 number, since 2×1356333380372 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 135633337983 and 135633338001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135633336037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 194013 + ... + 555794.

It is an arithmetic number, because the mean of its divisors is an integer number (8285378400).

Almost surely, 2135633338037 is an apocalyptic number.

It is an amenable number.

135633338037 is a deficient number, since it is larger than the sum of its proper divisors (63215743563).

135633338037 is a wasteful number, since it uses less digits than its factorization.

135633338037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 750113 (or 750110 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 45.

The spelling of 135633338037 in words is "one hundred thirty-five billion, six hundred thirty-three million, three hundred thirty-eight thousand, thirty-seven".

Divisors: 1 3 9 101 199 303 597 909 1791 20099 60297 180891 749807 2249421 6748263 75730507 149211593 227191521 447634779 681574563 1342904337 15070370893 45211112679 135633338037