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212362545304 = 23721380951511
BaseRepresentation
bin1100010111000111001…
…0110100100010011000
3202022010220121001111201
43011301302310202120
511434404302422204
6241320310203544
721225353565100
oct3056162644230
9668126531451
10212362545304
1182076136498
12351a79535b4
1317044610140
14a3c7d14200
1557cd95a9a4
hex3171cb4898

212362545304 has 96 divisors (see below), whose sum is σ = 499444898400. Its totient is φ = 83906081280.

The previous prime is 212362545301. The next prime is 212362545313. The reversal of 212362545304 is 403545263212.

212362545304 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212362545301) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 4096909 + ... + 4148419.

It is an arithmetic number, because the mean of its divisors is an integer number (5202551025).

Almost surely, 2212362545304 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 212362545304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249722449200).

212362545304 is an abundant number, since it is smaller than the sum of its proper divisors (287082353096).

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

212362545304 is a wasteful number, since it uses less digits than its factorization.

212362545304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52353 (or 52342 counting only the distinct ones).

The product of its (nonzero) digits is 172800, while the sum is 37.

The spelling of 212362545304 in words is "two hundred twelve billion, three hundred sixty-two million, five hundred forty-five thousand, three hundred four".

Divisors: 1 2 4 7 8 13 14 26 28 49 52 56 91 98 104 182 196 364 392 637 728 809 1274 1618 2548 3236 5096 5663 6472 10517 11326 21034 22652 39641 42068 45304 51511 73619 79282 84136 103022 147238 158564 206044 294476 317128 360577 412088 515333 588952 669643 721154 1030666 1339286 1442308 2061332 2524039 2678572 2884616 4122664 4687501 5048078 5357144 9375002 10096156 18750004 20192312 32812507 37500008 41672399 65625014 83344798 131250028 166689596 262500056 291706793 333379192 541741187 583413586 1083482374 1166827172 2041947551 2166964748 2333654344 3792188309 4083895102 4333929496 7584376618 8167790204 15168753236 16335580408 26545318163 30337506472 53090636326 106181272652 212362545304