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213554006274 = 237213125122091
BaseRepresentation
bin1100011011100011001…
…1111000100100000010
3202102012221112112200210
43012320303320210002
511444324311200044
6242034431254550
721300032050200
oct3067063704402
9672187475623
10213554006274
118262773a784
123547a97a456
13171a4404a2b
14a49c260070
15584d35b1b9
hex31b8cf8902

213554006274 has 96 divisors (see below), whose sum is σ = 502649908992. Its totient is φ = 60305700000.

The previous prime is 213554006243. The next prime is 213554006293. The reversal of 213554006274 is 472600455312.

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a Curzon 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 47 ways as a sum of consecutive naturals, for example, 9655969 + ... + 9678059.

It is an arithmetic number, because the mean of its divisors is an integer number (5235936552).

Almost surely, 2213554006274 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213554006274, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251324954496).

213554006274 is an abundant number, since it is smaller than the sum of its proper divisors (289095902718).

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

213554006274 is a wasteful number, since it uses less digits than its factorization.

213554006274 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22492 (or 22485 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 39.

The spelling of 213554006274 in words is "two hundred thirteen billion, five hundred fifty-four million, six thousand, two hundred seventy-four".

Divisors: 1 2 3 6 7 14 21 42 49 98 131 147 251 262 294 393 502 753 786 917 1506 1757 1834 2751 3514 5271 5502 6419 10542 12299 12838 19257 22091 24598 32881 36897 38514 44182 65762 66273 73794 98643 132546 154637 197286 230167 309274 460334 463911 690501 927822 1082459 1381002 1611169 2164918 2893921 3222338 3247377 4833507 5544841 5787842 6494754 8681763 9667014 11089682 16634523 17363526 20257447 33269046 38813887 40514894 60772341 77627774 116441661 121544682 141802129 232883322 271697209 283604258 425406387 543394418 726374171 815091627 850812774 1452748342 1630183254 2179122513 4358245026 5084619197 10169238394 15253857591 30507715182 35592334379 71184668758 106777003137 213554006274