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135779023369 = 1126118395749
BaseRepresentation
bin111111001110100001…
…1110111101000001001
3110222110200012001100101
41332131003313220021
54211033412221434
6142213115405401
712544505440663
oct1763503675011
9428420161311
10135779023369
115264679aa00
1222394153861
13ca5b2504a2
146800bd5533
1537ea39bb14
hex1f9d0f7a09

135779023369 has 12 divisors (see below), whose sum is σ = 151691354500. Its totient is φ = 121411936800.

The previous prime is 135779023363. The next prime is 135779023411. The reversal of 135779023369 is 963320977531.

It can be written as a sum of positive squares in 2 ways, for example, as 26442987769 + 109336035600 = 162613^2 + 330660^2 .

It is not a de Polignac number, because 135779023369 - 29 = 135779022857 is a prime.

It is a super-2 number, since 2×1357790233692 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (55) coincides with the sum of the digits of its distinct prime factors.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135779023363) 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, 9190494 + ... + 9205255.

Almost surely, 2135779023369 is an apocalyptic number.

It is an amenable number.

135779023369 is a deficient number, since it is larger than the sum of its proper divisors (15912331131).

135779023369 is a wasteful number, since it uses less digits than its factorization.

135779023369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18395832 (or 18395821 counting only the distinct ones).

The product of its (nonzero) digits is 6429780, while the sum is 55.

The spelling of 135779023369 in words is "one hundred thirty-five billion, seven hundred seventy-nine million, twenty-three thousand, three hundred sixty-nine".

Divisors: 1 11 61 121 671 7381 18395749 202353239 1122140689 2225885629 12343547579 135779023369