Search a number
-
+
27228284536420 = 225111719383173157
BaseRepresentation
bin1100011000011100101000…
…01110100100011001100100
310120101222221222001111021101
412030032110032210121210
512032102011320131140
6133524300133325444
75510115162566332
oct614162416443144
9116358858044241
1027228284536420
1187484a5865410
123079035496884
131226801a916c6
146a1bdac30b52
1532340bc2799a
hex18c3943a4664

27228284536420 has 96 divisors (see below), whose sum is σ = 69522937787520. Its totient is φ = 8828309514240.

The previous prime is 27228284536399. The next prime is 27228284536447. The reversal of 27228284536420 is 2463548282272.

It is a Harshad number since it is a multiple of its sum of digits (55).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 191515519 + ... + 191657638.

It is an arithmetic number, because the mean of its divisors is an integer number (724197268620).

Almost surely, 227228284536420 is an apocalyptic number.

27228284536420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

27228284536420 is an abundant number, since it is smaller than the sum of its proper divisors (42294653251100).

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

27228284536420 is a wasteful number, since it uses less digits than its factorization.

27228284536420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 383173213 (or 383173211 counting only the distinct ones).

The product of its (nonzero) digits is 20643840, while the sum is 55.

The spelling of 27228284536420 in words is "twenty-seven trillion, two hundred twenty-eight billion, two hundred eighty-four million, five hundred thirty-six thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 17 19 20 22 34 38 44 55 68 76 85 95 110 170 187 190 209 220 323 340 374 380 418 646 748 836 935 1045 1292 1615 1870 2090 3230 3553 3740 4180 6460 7106 14212 17765 35530 71060 383173157 766346314 1532692628 1915865785 3831731570 4214904727 6513943669 7280289983 7663463140 8429809454 13027887338 14560579966 16859618908 21074523635 26055774676 29121159932 32569718345 36401449915 42149047270 65139436690 71653380359 72802899830 80083189813 84298094540 123764929711 130278873380 143306760718 145605799660 160166379626 247529859422 286613521436 320332759252 358266901795 400415949065 495059718844 618824648555 716533803590 800831898130 1237649297110 1361414226821 1433067607180 1601663796260 2475298594220 2722828453642 5445656907284 6807071134105 13614142268210 27228284536420