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78644350096 = 2413253932
BaseRepresentation
bin100100100111110010…
…0011000110010010000
321111222212012220221021
41021033210120302100
52242030423200341
6100043445205224
75452610642344
oct1111744306220
9244885186837
1078644350096
113039775a264
12132a9a00814
137554313c00
143b40acd624
1520a44899d1
hex124f918c90

78644350096 has 45 divisors (see below), whose sum is σ = 165026679339. Its totient is φ = 36290661888.

The previous prime is 78644350079. The next prime is 78644350111. The reversal of 78644350096 is 69005344687.

The square root of 78644350096 is 280436.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2424183696 + 76220166400 = 49236^2 + 276080^2 .

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a Duffinian number.

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, 14579976 + ... + 14585368.

Almost surely, 278644350096 is an apocalyptic number.

78644350096 is the 280436-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 78644350096

78644350096 is an abundant number, since it is smaller than the sum of its proper divisors (86382329243).

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

78644350096 is an frugal number, since it uses more digits than its factorization.

78644350096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10820 (or 5408 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 52.

The spelling of 78644350096 in words is "seventy-eight billion, six hundred forty-four million, three hundred fifty thousand, ninety-six".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 5393 10786 21572 43144 70109 86288 140218 280436 560872 911417 1121744 1822834 3645668 7291336 14582672 29084449 58168898 116337796 232675592 378097837 465351184 756195674 1512391348 3024782696 4915271881 6049565392 9830543762 19661087524 39322175048 78644350096