Search a number
-
+
212265974474704 = 24311574391620777
BaseRepresentation
bin110000010000111000000110…
…000000011010011111010000
31000211120102120201121102011101
4300100320012000122133100
5210310231203431142304
62031241350435354144
762465465504136403
oct6020700600323720
91024512521542141
10212265974474704
11616a8548912707
121b982699452954
139159798427537
143a5ba2981dd3a
1519817d242b8a4
hexc10e0601a7d0

212265974474704 has 80 divisors (see below), whose sum is σ = 427333960590336. Its totient is φ = 102031736601600.

The previous prime is 212265974474633. The next prime is 212265974474881. The reversal of 212265974474704 is 407474479562212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341625564 + ... + 342246340.

Almost surely, 2212265974474704 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 212265974474704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213666980295168).

212265974474704 is an abundant number, since it is smaller than the sum of its proper divisors (215067986115632).

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

212265974474704 is a wasteful number, since it uses less digits than its factorization.

212265974474704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 625364 (or 625358 counting only the distinct ones).

The product of its (nonzero) digits is 189665280, while the sum is 64.

The spelling of 212265974474704 in words is "two hundred twelve trillion, two hundred sixty-five billion, nine hundred seventy-four million, four hundred seventy-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 31 62 124 157 248 314 496 628 1256 2512 4391 4867 8782 9734 17564 19468 35128 38936 70256 77872 136121 272242 544484 620777 689387 1088968 1241554 1378774 2177936 2483108 2757548 4966216 5515096 9932432 11030192 19244087 21370997 38488174 42741994 76976348 85483988 97461989 153952696 170967976 194923978 307905392 341935952 389847956 779695912 1559391824 2725831807 3021321659 5451663614 6042643318 10903327228 12085286636 21806654456 24170573272 43613308912 48341146544 84500786017 169001572034 338003144068 427955593699 676006288136 855911187398 1352012576272 1711822374796 3423644749592 6847289499184 13266623404669 26533246809338 53066493618676 106132987237352 212265974474704