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27922391552 = 291123297433
BaseRepresentation
bin11010000000010011…
…011110001000000000
32200001221220110101002
4122000103132020000
5424141113012202
620454413431132
72005641261236
oct320023361000
980057813332
1027922391552
111092950a060
1254b319b4a8
13282cb170a3
1414cc54a956
15ad6536302
hex6804de200

27922391552 has 160 divisors (see below), whose sum is σ = 65707044480. Its totient is φ = 11719966720.

The previous prime is 27922391551. The next prime is 27922391587. The reversal of 27922391552 is 25519322972.

It is a junction number, because it is equal to n+sod(n) for n = 27922391497 and 27922391506.

It is not an unprimeable number, because it can be changed into a prime (27922391551) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3752828 + ... + 3760260.

It is an arithmetic number, because the mean of its divisors is an integer number (410669028).

Almost surely, 227922391552 is an apocalyptic number.

27922391552 is a gapful number since it is divisible by the number (22) 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 27922391552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32853522240).

27922391552 is an abundant number, since it is smaller than the sum of its proper divisors (37784652928).

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

27922391552 is a wasteful number, since it uses less digits than its factorization.

27922391552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7514 (or 7498 counting only the distinct ones).

The product of its digits is 680400, while the sum is 47.

The spelling of 27922391552 in words is "twenty-seven billion, nine hundred twenty-two million, three hundred ninety-one thousand, five hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 23 29 32 44 46 58 64 88 92 116 128 176 184 232 253 256 319 352 368 464 506 512 638 667 704 736 928 1012 1276 1334 1408 1472 1856 2024 2552 2668 2816 2944 3712 4048 5104 5336 5632 5888 7337 7424 7433 8096 10208 10672 11776 14674 14848 14866 16192 20416 21344 29348 29732 32384 40832 42688 58696 59464 64768 81664 81763 85376 117392 118928 129536 163328 163526 170752 170959 215557 234784 237856 327052 341504 341918 431114 469568 475712 654104 683836 862228 939136 951424 1308208 1367672 1724456 1878272 1880549 1902848 2371127 2616416 2735344 3448912 3756544 3761098 3805696 4742254 4957811 5232832 5470688 6897824 7522196 9484508 9915622 10465664 10941376 13795648 15044392 18969016 19831244 20931328 21882752 27591296 30088784 37938032 39662488 41862656 43765504 54535921 55182592 60177568 75876064 79324976 87531008 109071842 110365184 120355136 151752128 158649952 218143684 240710272 303504256 317299904 436287368 481420544 607008512 634599808 872574736 962841088 1214017024 1269199616 1745149472 2538399232 3490298944 6980597888 13961195776 27922391552