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711042816 = 28311174951
BaseRepresentation
bin101010011000011…
…010011100000000
31211112221201101010
4222120122130000
52424011332231
6154320040520
723422523061
oct5230323400
91745851333
10711042816
11335401aa0
1217a163140
13b44077c3
146a610568
1542654546
hex2a61a700

711042816 has 144 divisors (see below), whose sum is σ = 2186327808. Its totient is φ = 202752000.

The previous prime is 711042811. The next prime is 711042817. The reversal of 711042816 is 618240117.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (711042811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 141141 + ... + 146091.

It is an arithmetic number, because the mean of its divisors is an integer number (15182832).

Almost surely, 2711042816 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 711042816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1093163904).

711042816 is an abundant number, since it is smaller than the sum of its proper divisors (1475284992).

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

711042816 is a wasteful number, since it uses less digits than its factorization.

711042816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4998 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 30.

The square root of 711042816 is about 26665.3861025863. The cubic root of 711042816 is about 892.5486914878.

It can be divided in two parts, 71104 and 2816, that added together give a triangular number (73920 = T384).

The spelling of 711042816 in words is "seven hundred eleven million, forty-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 11 12 16 17 22 24 32 33 34 44 48 51 64 66 68 88 96 102 128 132 136 176 187 192 204 256 264 272 352 374 384 408 528 544 561 704 748 768 816 1056 1088 1122 1408 1496 1632 2112 2176 2244 2816 2992 3264 4224 4352 4488 4951 5984 6528 8448 8976 9902 11968 13056 14853 17952 19804 23936 29706 35904 39608 47872 54461 59412 71808 79216 84167 108922 118824 143616 158432 163383 168334 217844 237648 252501 316864 326766 336668 435688 475296 505002 633728 653532 673336 871376 925837 950592 1010004 1267456 1307064 1346672 1742752 1851674 1901184 2020008 2614128 2693344 2777511 3485504 3703348 3802368 4040016 5228256 5386688 5555022 6971008 7406696 8080032 10456512 10773376 11110044 13942016 14813392 16160064 20913024 21546752 22220088 29626784 32320128 41826048 44440176 59253568 64640256 88880352 118507136 177760704 237014272 355521408 711042816