Search a number
-
+
711140356012064 = 2511231035851145753
BaseRepresentation
bin1010000110110001110100010…
…0010011100011100000100000
310110020221100120010110112210112
42201230131010103203200200
51221202310422114341224
611000245211451150452
7302535123651212306
oct24154350423434040
93406840503415715
10711140356012064
11196655a2763a310
1267913922445428
13246a632b618414
14c78753c238276
1557335d523d30e
hex286c7444e3820

711140356012064 has 192 divisors, whose sum is σ = 1609500723038208. Its totient is φ = 306135168768000.

The previous prime is 711140356012063. The next prime is 711140356012067. The reversal of 711140356012064 is 460210653041117.

It is not an unprimeable number, because it can be changed into a prime (711140356012063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4879005812 + ... + 4879151564.

It is an arithmetic number, because the mean of its divisors is an integer number (8382816265824).

Almost surely, 2711140356012064 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 711140356012064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (804750361519104).

711140356012064 is an abundant number, since it is smaller than the sum of its proper divisors (898360367026144).

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

711140356012064 is a wasteful number, since it uses less digits than its factorization.

711140356012064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151751 (or 151743 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 41.

The spelling of 711140356012064 in words is "seven hundred eleven trillion, one hundred forty billion, three hundred fifty-six million, twelve thousand, sixty-four".