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711074016 = 253212719441
BaseRepresentation
bin101010011000100…
…010000011100000
31211120000022011200
4222120202003200
52424013332031
6154320441200
723423013042
oct5230420340
91746008150
10711074016
11335423484
1217a179200
13b4418a73
146a61ba92
154265d8e6
hex2a6220e0

711074016 has 72 divisors (see below), whose sum is σ = 2038143744. Its totient is φ = 235146240.

The previous prime is 711073973. The next prime is 711074027. The reversal of 711074016 is 610470117.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 26856 + ... + 46296.

It is an arithmetic number, because the mean of its divisors is an integer number (28307552).

Almost surely, 2711074016 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 711074016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1019071872).

711074016 is an abundant number, since it is smaller than the sum of its proper divisors (1327069728).

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

711074016 is a wasteful number, since it uses less digits than its factorization.

711074016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19584 (or 19573 counting only the distinct ones).

The product of its (nonzero) digits is 1176, while the sum is 27.

The square root of 711074016 is about 26665.9711242625. The cubic root of 711074016 is about 892.5617460753.

The spelling of 711074016 in words is "seven hundred eleven million, seventy-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 127 144 254 288 381 508 762 1016 1143 1524 2032 2286 3048 4064 4572 6096 9144 12192 18288 19441 36576 38882 58323 77764 116646 155528 174969 233292 311056 349938 466584 622112 699876 933168 1399752 1866336 2469007 2799504 4938014 5599008 7407021 9876028 14814042 19752056 22221063 29628084 39504112 44442126 59256168 79008224 88884252 118512336 177768504 237024672 355537008 711074016