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27731842348 = 227172231091367
BaseRepresentation
bin11001110100111100…
…100101010100101100
32122120200100120000011
4121310330211110230
5423243322423343
620423445343004
72001135525220
oct316474452454
978520316004
1027731842348
11108409a1681
12545b407a64
1327cc4bb692
1414b1108780
15ac494729d
hex674f2552c

27731842348 has 144 divisors (see below), whose sum is σ = 62089251840. Its totient is φ = 10593690624.

The previous prime is 27731842339. The next prime is 27731842351. The reversal of 27731842348 is 84324813772.

It is a hoax number, since the sum of its digits (49) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 20285961 + ... + 20287327.

It is an arithmetic number, because the mean of its divisors is an integer number (431175360).

Almost surely, 227731842348 is an apocalyptic number.

27731842348 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27731842348, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31044625920).

27731842348 is an abundant number, since it is smaller than the sum of its proper divisors (34357409492).

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

27731842348 is a wasteful number, since it uses less digits than its factorization.

27731842348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1544 (or 1525 counting only the distinct ones).

The product of its digits is 1806336, while the sum is 49.

The spelling of 27731842348 in words is "twenty-seven billion, seven hundred thirty-one million, eight hundred forty-two thousand, three hundred forty-eight".

Divisors: 1 2 4 7 14 17 23 28 34 46 68 92 109 119 161 218 238 289 322 391 436 476 578 644 763 782 1156 1367 1526 1564 1853 2023 2507 2734 2737 3052 3706 4046 5014 5468 5474 6647 7412 8092 9569 10028 10948 12971 13294 17549 19138 23239 25942 26588 31441 31501 35098 38276 42619 46478 46529 51884 62882 63002 70196 85238 92956 93058 125764 126004 149003 162673 170476 186116 220087 220507 298006 298333 325346 395063 440174 441014 534497 596012 596666 650692 724523 790126 880348 882028 1043021 1068994 1193332 1449046 1580252 2086042 2137988 2533051 2765441 2898092 3427069 3741479 4172084 5066102 5071661 5530882 6854138 7482958 9086449 10132204 10143322 11061764 13708276 14965916 17731357 18172898 20286644 23989483 35462714 36345796 43061867 47978966 58260173 63605143 70925428 86123734 95957932 116520346 127210286 172247468 233040692 254420572 301433069 407821211 602866138 815642422 990422941 1205732276 1631284844 1980845882 3961691764 6932960587 13865921174 27731842348