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27362144348 = 22711471890173
BaseRepresentation
bin11001011110111010…
…010011000001011100
32121121220200221200122
4121132322103001130
5422014202104343
620323041414112
71656026250410
oct313672230134
977556627618
1027362144348
1110671243040
12537763a338
132770a29676
141477d90d40
15aa226c068
hex65ee9305c

27362144348 has 48 divisors (see below), whose sum is σ = 60969452544. Its totient is φ = 10433749440.

The previous prime is 27362144339. The next prime is 27362144393. The reversal of 27362144348 is 84344126372.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a junction number, because it is equal to n+sod(n) for n = 27362144299 and 27362144308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930611 + ... + 959562.

It is an arithmetic number, because the mean of its divisors is an integer number (1270196928).

Almost surely, 227362144348 is an apocalyptic number.

27362144348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

27362144348 is an abundant number, since it is smaller than the sum of its proper divisors (33607308196).

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

27362144348 is a wasteful number, since it uses less digits than its factorization.

27362144348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1890242 (or 1890240 counting only the distinct ones).

The product of its digits is 774144, while the sum is 44.

The spelling of 27362144348 in words is "twenty-seven billion, three hundred sixty-two million, one hundred forty-four thousand, three hundred forty-eight".

Divisors: 1 2 4 7 11 14 22 28 44 47 77 94 154 188 308 329 517 658 1034 1316 2068 3619 7238 14476 1890173 3780346 7560692 13231211 20791903 26462422 41583806 52924844 83167612 88838131 145543321 177676262 291086642 355352524 582173284 621866917 977219441 1243733834 1954438882 2487467668 3908877764 6840536087 13681072174 27362144348