Search a number
-
+
215045211712 = 26172910167481
BaseRepresentation
bin1100100001000110110…
…0011000011001000000
3202120001212111121222211
43020101230120121000
512010403033233322
6242442421111504
721352010066002
oct3102154303100
9676055447884
10215045211712
1183222463471
1235816258594
1317381338006
14a5a0314372
1558d9219b77
hex3211b18640

215045211712 has 112 divisors (see below), whose sum is σ = 472047387120. Its totient is φ = 96739328000.

The previous prime is 215045211709. The next prime is 215045211761. The reversal of 215045211712 is 217112540512.

It can be written as a sum of positive squares in 8 ways, for example, as 103905654336 + 111139557376 = 322344^2 + 333376^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3153012 + ... + 3220492.

Almost surely, 2215045211712 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 215045211712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236023693560).

215045211712 is an abundant number, since it is smaller than the sum of its proper divisors (257002175408).

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

215045211712 is a wasteful number, since it uses less digits than its factorization.

215045211712 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67640 (or 67630 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 31.

The spelling of 215045211712 in words is "two hundred fifteen billion, forty-five million, two hundred eleven thousand, seven hundred twelve".

Divisors: 1 2 4 8 16 17 29 32 34 58 64 68 101 116 136 202 232 272 404 464 493 544 808 928 986 1088 1616 1717 1856 1972 2929 3232 3434 3944 5858 6464 6868 7888 11716 13736 15776 23432 27472 31552 46864 49793 54944 67481 93728 99586 109888 134962 187456 199172 269924 398344 539848 796688 1079696 1147177 1593376 1956949 2159392 2294354 3186752 3913898 4318784 4588708 6815581 7827796 9177416 13631162 15655592 18354832 27262324 31311184 33268133 36709664 54524648 62622368 66536266 73419328 109049296 115864877 125244736 133072532 197651849 218098592 231729754 266145064 395303698 436197184 463459508 532290128 790607396 926919016 1064580256 1581214792 1853838032 2129160512 3162429584 3360081433 3707676064 6324859168 6720162866 7415352128 12649718336 13440325732 26880651464 53761302928 107522605856 215045211712