Search a number
-
+
213908794440 = 2335111256912893
BaseRepresentation
bin1100011100110111110…
…1010010110001001000
3202110010200010122120020
43013031331102301020
512001041122410230
6242133543500440
721311600516055
oct3071575226110
9673120118506
10213908794440
1182799a35340
1235559757720
131722ca76463
14a4d341602c
15586e58d810
hex31cdf52c48

213908794440 has 128 divisors (see below), whose sum is σ = 700175145600. Its totient is φ = 51848529920.

The previous prime is 213908794427. The next prime is 213908794459. The reversal of 213908794440 is 44497809312.

213908794440 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 16584634 + ... + 16597526.

It is an arithmetic number, because the mean of its divisors is an integer number (5470118325).

Almost surely, 2213908794440 is an apocalyptic number.

213908794440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

213908794440 is an abundant number, since it is smaller than the sum of its proper divisors (486266351160).

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

213908794440 is a wasteful number, since it uses less digits than its factorization.

213908794440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25487 (or 25483 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 51.

The spelling of 213908794440 in words is "two hundred thirteen billion, nine hundred eight million, seven hundred ninety-four thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 12569 12893 25138 25786 37707 38679 50276 51572 62845 64465 75414 77358 100552 103144 125690 128930 138259 141823 150828 154716 188535 193395 251380 257860 276518 283646 301656 309432 377070 386790 414777 425469 502760 515720 553036 567292 691295 709115 754140 773580 829554 850938 1106072 1134584 1382590 1418230 1508280 1547160 1659108 1701876 2073885 2127345 2765180 2836460 3318216 3403752 4147770 4254690 5530360 5672920 8295540 8509380 16591080 17018760 162052117 324104234 486156351 648208468 810260585 972312702 1296416936 1620521170 1782573287 1944625404 2430781755 3241042340 3565146574 3889250808 4861563510 5347719861 6482084680 7130293148 8912866435 9723127020 10695439722 14260586296 17825732870 19446254040 21390879444 26738599305 35651465740 42781758888 53477198610 71302931480 106954397220 213908794440