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711381216 = 253721311633
BaseRepresentation
bin101010011001101…
…101000011100000
31211120120220120110
4222121231003200
52424103144331
6154331211320
723425432500
oct5231550340
91746526513
10711381216
11335613267
1217a2a6b40
13b44c5840
146a69ba00
15426be946
hex2a66d0e0

711381216 has 144 divisors (see below), whose sum is σ = 2339550864. Its totient is φ = 187600896.

The previous prime is 711381199. The next prime is 711381227. The reversal of 711381216 is 612183117.

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 55336 + ... + 66968.

It is an arithmetic number, because the mean of its divisors is an integer number (16246881).

Almost surely, 2711381216 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 711381216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1169775432).

711381216 is an abundant number, since it is smaller than the sum of its proper divisors (1628169648).

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

711381216 is a wasteful number, since it uses less digits than its factorization.

711381216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11673 (or 11658 counting only the distinct ones).

The product of its digits is 2016, while the sum is 30.

The square root of 711381216 is about 26671.7306525092. The cubic root of 711381216 is about 892.6902631661.

The spelling of 711381216 in words is "seven hundred eleven million, three hundred eighty-one thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 13 14 16 21 24 26 28 32 39 42 48 49 52 56 78 84 91 96 98 104 112 147 156 168 182 196 208 224 273 294 312 336 364 392 416 546 588 624 637 672 728 784 1092 1176 1248 1274 1456 1568 1911 2184 2352 2548 2912 3822 4368 4704 5096 7644 8736 10192 11633 15288 20384 23266 30576 34899 46532 61152 69798 81431 93064 139596 151229 162862 186128 244293 279192 302458 325724 372256 453687 488586 558384 570017 604916 651448 907374 977172 1058603 1116768 1140034 1209832 1302896 1710051 1814748 1954344 2117206 2280068 2419664 2605792 3175809 3420102 3629496 3908688 4234412 4560136 4839328 6351618 6840204 7258992 7410221 7817376 8468824 9120272 12703236 13680408 14517984 14820442 16937648 18240544 22230663 25406472 27360816 29640884 33875296 44461326 50812944 54721632 59281768 88922652 101625888 118563536 177845304 237127072 355690608 711381216