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212314662504 = 23327260179893
BaseRepresentation
bin1100010110111011110…
…0001010011001101000
3202022000120111100122200
43011232330022121220
511434310023200004
6241311440020200
721224232566100
oct3055674123150
9668016440580
10212314662504
118205110142a
1235193901660
1317037716619
14a3c180c200
1557c964d239
hex316ef0a668

212314662504 has 72 divisors (see below), whose sum is σ = 668899521810. Its totient is φ = 60661331136.

The previous prime is 212314662491. The next prime is 212314662517. The reversal of 212314662504 is 405266413212.

212314662504 is a `hidden beast` number, since 2 + 1 + 2 + 3 + 146 + 6 + 2 + 504 = 666.

212314662504 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (212314662491) and next prime (212314662517).

It can be written as a sum of positive squares in only one way, i.e., 156896794404 + 55417868100 = 396102^2 + 235410^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 17 ways as a sum of consecutive naturals, for example, 30086419 + ... + 30093474.

Almost surely, 2212314662504 is an apocalyptic number.

212314662504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212314662504 is an abundant number, since it is smaller than the sum of its proper divisors (456584859306).

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

212314662504 is a wasteful number, since it uses less digits than its factorization.

212314662504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60179919 (or 60179905 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

The spelling of 212314662504 in words is "two hundred twelve billion, three hundred fourteen million, six hundred sixty-two thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 49 56 63 72 84 98 126 147 168 196 252 294 392 441 504 588 882 1176 1764 3528 60179893 120359786 180539679 240719572 361079358 421259251 481439144 541619037 722158716 842518502 1083238074 1263777753 1444317432 1685037004 2166476148 2527555506 2948814757 3370074008 3791333259 4332952296 5055111012 5897629514 7582666518 8846444271 10110222024 11795259028 15165333036 17692888542 23590518056 26539332813 30330666072 35385777084 53078665626 70771554168 106157331252 212314662504