Search a number
-
+
104343773777856 = 26321491215787819
BaseRepresentation
bin10111101110011001101101…
…100100100000111111000000
3111200110011112000000120110200
4113232121231210200333000
5102134032022041342411
61005530511245525200
730656405662065444
oct2756315544407700
9450404460016420
10104343773777856
1130279a45074258
12b852632873800
13462b763908682
141baa3a0b28824
15c0e34adabe56
hex5ee66d920fc0

104343773777856 has 84 divisors (see below), whose sum is σ = 301089853623000. Its totient is φ = 34547826636288.

The previous prime is 104343773777809. The next prime is 104343773777857. The reversal of 104343773777856 is 658777377343401.

104343773777856 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 437 + 7 + 3 + 77 + 78 + 56 = 666.

104343773777856 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104343773777857) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 607808086 + ... + 607979733.

Almost surely, 2104343773777856 is an apocalyptic number.

104343773777856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

104343773777856 is an abundant number, since it is smaller than the sum of its proper divisors (196746079845144).

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

104343773777856 is a wasteful number, since it uses less digits than its factorization.

104343773777856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1215787986 (or 1215787973 counting only the distinct ones).

The product of its (nonzero) digits is 1742549760, while the sum is 72.

The spelling of 104343773777856 in words is "one hundred four trillion, three hundred forty-three billion, seven hundred seventy-three million, seven hundred seventy-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 149 192 288 298 447 576 596 894 1192 1341 1788 2384 2682 3576 4768 5364 7152 9536 10728 14304 21456 28608 42912 85824 1215787819 2431575638 3647363457 4863151276 7294726914 9726302552 10942090371 14589453828 19452605104 21884180742 29178907656 38905210208 43768361484 58357815312 77810420416 87536722968 116715630624 175073445936 181152385031 233431261248 350146891872 362304770062 543457155093 700293783744 724609540124 1086914310186 1449219080248 1630371465279 2173828620372 2898438160496 3260742930558 4347657240744 5796876320992 6521485861116 8695314481488 11593752641984 13042971722232 17390628962976 26085943444464 34781257925952 52171886888928 104343773777856