Search a number
-
+
6712007064 = 2337225122739
BaseRepresentation
bin1100100000001000…
…10001100110011000
3122022202211021202020
412100010101212120
5102221233211224
63030005334440
7325221055500
oct62004214630
918282737666
106712007064
112934831284
121373a07420
1382c750419
144795d0a00
152943ccc79
hex190111998

6712007064 has 96 divisors (see below), whose sum is σ = 19598241600. Its totient is φ = 1909992000.

The previous prime is 6712007059. The next prime is 6712007101. The reversal of 6712007064 is 4607002176.

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 23 ways as a sum of consecutive naturals, for example, 283807 + ... + 306545.

It is an arithmetic number, because the mean of its divisors is an integer number (204148350).

Almost surely, 26712007064 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 6712007064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9799120800).

6712007064 is an abundant number, since it is smaller than the sum of its proper divisors (12886234536).

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

6712007064 is a wasteful number, since it uses less digits than its factorization.

6712007064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23013 (or 23002 counting only the distinct ones).

The product of its (nonzero) digits is 14112, while the sum is 33.

The square root of 6712007064 is about 81926.8397047024. The cubic root of 6712007064 is about 1886.3291162078.

The spelling of 6712007064 in words is "six billion, seven hundred twelve million, seven thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 49 56 84 98 147 168 196 251 294 392 502 588 753 1004 1176 1506 1757 2008 3012 3514 5271 6024 7028 10542 12299 14056 21084 22739 24598 36897 42168 45478 49196 68217 73794 90956 98392 136434 147588 159173 181912 272868 295176 318346 477519 545736 636692 955038 1114211 1273384 1910076 2228422 3342633 3820152 4456844 5707489 6685266 8913688 11414978 13370532 17122467 22829956 26741064 34244934 39952423 45659912 68489868 79904846 119857269 136979736 159809692 239714538 279666961 319619384 479429076 559333922 839000883 958858152 1118667844 1678001766 2237335688 3356003532 6712007064