Search a number
-
+
272348542243360 = 25511314991725481
BaseRepresentation
bin111101111011001100010110…
…000111011001001000100000
31022201022021012011211011112101
4331323030112013121020200
5241144124303303241420
62403123105411540144
7111236350523546542
oct7573142607311040
91281267164734471
10272348542243360
1179862405a91450
1226666b7b8ba654
13b8c74850a6c6b
144b37a4dd43692
152174625b1360a
hexf7b3161d9220

272348542243360 has 96 divisors (see below), whose sum is σ = 724558937163264. Its totient is φ = 95841129216000.

The previous prime is 272348542243343. The next prime is 272348542243363. The reversal of 272348542243360 is 63342245843272.

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

It is not an unprimeable number, because it can be changed into a prime (272348542243363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2495808181 + ... + 2495917300.

It is an arithmetic number, because the mean of its divisors is an integer number (7547488928784).

Almost surely, 2272348542243360 is an apocalyptic number.

272348542243360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

272348542243360 is an abundant number, since it is smaller than the sum of its proper divisors (452210394919904).

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

272348542243360 is a wasteful number, since it uses less digits than its factorization.

272348542243360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4991725538 (or 4991725530 counting only the distinct ones).

The product of its (nonzero) digits is 46448640, while the sum is 55.

The spelling of 272348542243360 in words is "two hundred seventy-two trillion, three hundred forty-eight billion, five hundred forty-two million, two hundred forty-three thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 31 32 40 44 55 62 80 88 110 124 155 160 176 220 248 310 341 352 440 496 620 682 880 992 1240 1364 1705 1760 2480 2728 3410 4960 5456 6820 10912 13640 27280 54560 4991725481 9983450962 19966901924 24958627405 39933803848 49917254810 54908980291 79867607696 99834509620 109817960582 154743489911 159735215392 199669019240 219635921164 274544901455 309486979822 399338038480 439271842328 549089802910 618973959644 773717449555 798676076960 878543684656 1098179605820 1237947919288 1547434899110 1702178389021 1757087369312 2196359211640 2475895838576 3094869798220 3404356778042 4392718423280 4951791677152 6189739596440 6808713556084 8510891945105 8785436846560 12379479192880 13617427112168 17021783890210 24758958385760 27234854224336 34043567780420 54469708448672 68087135560840 136174271121680 272348542243360