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13792379228136 = 23321033185441261
BaseRepresentation
bin1100100010110100100111…
…0111010100111111101000
31210211112112121210221120100
43020231021313110333220
53301433243040300021
645200044225225400
72622316005042555
oct310551167247750
953745477727510
1013792379228136
114438351564823
12166907ba92260
13790800b3c712
143597aa1dba2c
1518db888dc626
hexc8b49dd4fe8

13792379228136 has 48 divisors (see below), whose sum is σ = 37390521657060. Its totient is φ = 4593009127680.

The previous prime is 13792379228099. The next prime is 13792379228143. The reversal of 13792379228136 is 63182297329731.

13792379228136 is a `hidden beast` number, since 1 + 3 + 7 + 9 + 2 + 379 + 228 + 1 + 36 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11614423104036 + 2177956124100 = 3407994^2 + 1475790^2 .

It is a super-3 number, since 3×137923792281363 (a number of 40 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 92646255 + ... + 92795006.

Almost surely, 213792379228136 is an apocalyptic number.

It is an amenable number.

13792379228136 is an abundant number, since it is smaller than the sum of its proper divisors (23598142428924).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

13792379228136 is a wasteful number, since it uses less digits than its factorization.

13792379228136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 185442306 (or 185442299 counting only the distinct ones).

The product of its digits is 41150592, while the sum is 63.

The spelling of 13792379228136 in words is "thirteen trillion, seven hundred ninety-two billion, three hundred seventy-nine million, two hundred twenty-eight thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 1033 2066 3099 4132 6198 8264 9297 12396 18594 24792 37188 74376 185441261 370882522 556323783 741765044 1112647566 1483530088 1668971349 2225295132 3337942698 4450590264 6675885396 13351770792 191560822613 383121645226 574682467839 766243290452 1149364935678 1532486580904 1724047403517 2298729871356 3448094807034 4597459742712 6896189614068 13792379228136