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7113705312 = 253717216151
BaseRepresentation
bin1101010000000001…
…01000011101100000
3200100202200200011010
412220000220131200
5104032102032222
63133515220520
7341166332430
oct65000503540
920322620133
107113705312
1130205570aa
121466447740
13894a379ac
144b6ab82c0
152b97c980c
hex1a8028760

7113705312 has 96 divisors (see below), whose sum is σ = 21356987904. Its totient is φ = 2030976000.

The previous prime is 7113705299. The next prime is 7113705341. The reversal of 7113705312 is 2135073117.

It is a tau number, because it is divible by the number of its divisors (96).

It is a self number, because there is not a number n which added to its sum of digits gives 7113705312.

It is a congruent number.

It is an unprimeable number.

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, 1153437 + ... + 1159587.

It is an arithmetic number, because the mean of its divisors is an integer number (222468624).

Almost surely, 27113705312 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 7113705312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10678493952).

7113705312 is an abundant number, since it is smaller than the sum of its proper divisors (14243282592).

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

7113705312 is a wasteful number, since it uses less digits than its factorization.

7113705312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7892 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 4410, while the sum is 30.

The square root of 7113705312 is about 84342.7845876575. The cubic root of 7113705312 is about 1923.2332414661.

Adding to 7113705312 its reverse (2135073117), we get a palindrome (9248778429).

The spelling of 7113705312 in words is "seven billion, one hundred thirteen million, seven hundred five thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 1721 3442 5163 6151 6884 10326 12047 12302 13768 18453 20652 24094 24604 27536 36141 36906 41304 43057 48188 49208 55072 72282 73812 82608 86114 96376 98416 129171 144564 147624 165216 172228 192752 196832 258342 289128 295248 344456 385504 516684 578256 590496 688912 1033368 1156512 1377824 2066736 4133472 10585871 21171742 31757613 42343484 63515226 74101097 84686968 127030452 148202194 169373936 222303291 254060904 296404388 338747872 444606582 508121808 592808776 889213164 1016243616 1185617552 1778426328 2371235104 3556852656 7113705312