Search a number
-
+
273320334326560 = 2553792035016731
BaseRepresentation
bin111110001001010101011001…
…011011111111101100100000
31022211202011120001001221122011
4332021111121123333230200
5241311040021041422220
62405145343404522304
7111366512452142233
oct7611253133775440
91284664501057564
10273320334326560
117a0a755930aa04
12267a338ab50394
13b967cc6358171
144b6cabbd5741a
15218ea50c4365a
hexf895596ffb20

273320334326560 has 96 divisors (see below), whose sum is σ = 663243355075392. Its totient is φ = 106361739555840.

The previous prime is 273320334326531. The next prime is 273320334326623. The reversal of 273320334326560 is 65623433023372.

It is a happy 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, 51973395 + ... + 56990125.

It is an arithmetic number, because the mean of its divisors is an integer number (6908784948702).

Almost surely, 2273320334326560 is an apocalyptic number.

273320334326560 is a gapful number since it is divisible by the number (20) 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 273320334326560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (331621677537696).

273320334326560 is an abundant number, since it is smaller than the sum of its proper divisors (389923020748832).

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

273320334326560 is a wasteful number, since it uses less digits than its factorization.

273320334326560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5025986 (or 5025978 counting only the distinct ones).

The product of its (nonzero) digits is 9797760, while the sum is 49.

The spelling of 273320334326560 in words is "two hundred seventy-three trillion, three hundred twenty billion, three hundred thirty-four million, three hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 37 40 74 80 148 160 185 296 370 592 740 1184 1480 2960 5920 9203 18406 36812 46015 73624 92030 147248 184060 294496 340511 368120 681022 736240 1362044 1472480 1702555 2724088 3405110 5016731 5448176 6810220 10033462 10896352 13620440 20066924 25083655 27240880 40133848 50167310 54481760 80267696 100334620 160535392 185619047 200669240 371238094 401338480 742476188 802676960 928095235 1484952376 1856190470 2969904752 3712380940 5939809504 7424761880 14849523760 29699047520 46168975393 92337950786 184675901572 230844876965 369351803144 461689753930 738703606288 923379507860 1477407212576 1708252089541 1846759015720 3416504179082 3693518031440 6833008358164 7387036062880 8541260447705 13666016716328 17082520895410 27332033432656 34165041790820 54664066865312 68330083581640 136660167163280 273320334326560