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212135152255344 = 24321937632957407
BaseRepresentation
bin110000001110111110010000…
…011001010000000101110000
31000211002220220111112002121200
4300032332100121100011300
5210301110242434132334
62031101313225251200
762453154554464143
oct6016762031200560
91024086814462550
10212135152255344
1161658016106a4a
121b961269333b00
13914a34a0c0496
143a5557908405a
15197d1c7302799
hexc0ef90650170

212135152255344 has 60 divisors (see below), whose sum is σ = 596759876072256. Its totient is φ = 70345335453696.

The previous prime is 212135152255343. The next prime is 212135152255357. The reversal of 212135152255344 is 443552251531212.

212135152255344 is a `hidden beast` number, since 2 + 1 + 2 + 1 + 3 + 5 + 1 + 52 + 2 + 553 + 44 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 212135152255344.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212135152255343) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3816450912 + ... + 3816506495.

Almost surely, 2212135152255344 is an apocalyptic number.

212135152255344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212135152255344 is an abundant number, since it is smaller than the sum of its proper divisors (384624723816912).

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

212135152255344 is a wasteful number, since it uses less digits than its factorization.

212135152255344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7632957614 (or 7632957605 counting only the distinct ones).

The product of its digits is 1440000, while the sum is 45.

The spelling of 212135152255344 in words is "two hundred twelve trillion, one hundred thirty-five billion, one hundred fifty-two million, two hundred fifty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 193 386 579 772 1158 1544 1737 2316 3088 3474 4632 6948 9264 13896 27792 7632957407 15265914814 22898872221 30531829628 45797744442 61063659256 68696616663 91595488884 122127318512 137393233326 183190977768 274786466652 366381955536 549572933304 1099145866608 1473160779551 2946321559102 4419482338653 5892643118204 8838964677306 11785286236408 13258447015959 17677929354612 23570572472816 26516894031918 35355858709224 53033788063836 70711717418448 106067576127672 212135152255344