Search a number
-
+
78105695696 = 24717401102299
BaseRepresentation
bin100100010111101110…
…1100101010111010000
321110121022122110000022
41020233131211113100
52234430024230241
655514204043012
75433350313350
oct1105735452720
9243538573008
1078105695696
11301406a1236
1213179533468
1374998468b2
143acd354b60
15207203854b
hex122f7655d0

78105695696 has 80 divisors (see below), whose sum is σ = 183580214400. Its totient is φ = 31425945600.

The previous prime is 78105695687. The next prime is 78105695753. The reversal of 78105695696 is 69659650187.

It is a super-2 number, since 2×781056956962 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 712355 + ... + 814653.

It is an arithmetic number, because the mean of its divisors is an integer number (2294752680).

Almost surely, 278105695696 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 78105695696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91790107200).

78105695696 is an abundant number, since it is smaller than the sum of its proper divisors (105474518704).

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

78105695696 is a wasteful number, since it uses less digits than its factorization.

78105695696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102732 (or 102726 counting only the distinct ones).

The product of its (nonzero) digits is 24494400, while the sum is 62.

The spelling of 78105695696 in words is "seventy-eight billion, one hundred five million, six hundred ninety-five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 17 28 34 56 68 112 119 136 238 272 401 476 802 952 1604 1904 2807 3208 5614 6416 6817 11228 13634 22456 27268 44912 47719 54536 95438 102299 109072 190876 204598 381752 409196 716093 763504 818392 1432186 1636784 1739083 2864372 3478166 5728744 6956332 11457488 12173581 13912664 24347162 27825328 41021899 48694324 82043798 97388648 164087596 194777296 287153293 328175192 574306586 656350384 697372283 1148613172 1394744566 2297226344 2789489132 4594452688 4881605981 5578978264 9763211962 11157956528 19526423924 39052847848 78105695696