Search a number
-
+
78682494016 = 267250092
BaseRepresentation
bin100100101000111010…
…1111001010001000000
321112002111222211120001
41021101311321101000
52242120204302031
6100051330525344
75453553110200
oct1112165712100
9245074884501
1078682494016
1130407242365
12132ba736854
13755c1aa989
143b45bbc400
1520a79c1861
hex1251d79440

78682494016 has 63 divisors (see below), whose sum is σ = 181663363749. Its totient is φ = 33714336768.

The previous prime is 78682494001. The next prime is 78682494067. The reversal of 78682494016 is 61049428687.

It is a happy number.

The square root of 78682494016 is 280504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 37131748416 + 41550745600 = 192696^2 + 203840^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 15705720 + ... + 15710728.

Almost surely, 278682494016 is an apocalyptic number.

78682494016 is the 280504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78682494016

78682494016 is an abundant number, since it is smaller than the sum of its proper divisors (102980869733).

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

78682494016 is an frugal number, since it uses more digits than its factorization.

78682494016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10044 (or 5018 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 55.

The spelling of 78682494016 in words is "seventy-eight billion, six hundred eighty-two million, four hundred ninety-four thousand, sixteen".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 5009 10018 20036 35063 40072 70126 80144 140252 160288 245441 280504 320576 490882 561008 981764 1122016 1963528 2244032 3927056 7854112 15708224 25090081 50180162 100360324 175630567 200720648 351261134 401441296 702522268 802882592 1229413969 1405044536 1605765184 2458827938 2810089072 4917655876 5620178144 9835311752 11240356288 19670623504 39341247008 78682494016