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104521778844 = 223717337121713
BaseRepresentation
bin110000101010111111…
…0111100011010011100
3100222210022011111201020
41201111332330122130
53203030033410334
6120003332244140
710360101314130
oct1412576743234
9328708144636
10104521778844
114036690150a
1218310170650
139b19570222
1450b77d93c0
152abb1cae49
hex1855fbc69c

104521778844 has 96 divisors (see below), whose sum is σ = 295221459456. Its totient is φ = 28097064960.

The previous prime is 104521778843. The next prime is 104521778873. The reversal of 104521778844 is 448877125401.

104521778844 is digitally balanced in base 3, 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 (51).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104521778843) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4802932 + ... + 4824644.

It is an arithmetic number, because the mean of its divisors is an integer number (3075223536).

Almost surely, 2104521778844 is an apocalyptic number.

104521778844 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104521778844, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147610729728).

104521778844 is an abundant number, since it is smaller than the sum of its proper divisors (190699680612).

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

104521778844 is a wasteful number, since it uses less digits than its factorization.

104521778844 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25115 (or 25113 counting only the distinct ones).

The product of its (nonzero) digits is 2007040, while the sum is 51.

The spelling of 104521778844 in words is "one hundred four billion, five hundred twenty-one million, seven hundred seventy-eight thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 204 238 357 476 714 1428 3371 6742 10113 13484 20226 21713 23597 40452 43426 47194 57307 65139 70791 86852 94388 114614 130278 141582 151991 171921 229228 260556 283164 303982 343842 369121 401149 455973 607964 687684 738242 802298 911946 1107363 1203447 1476484 1604596 1823892 2214726 2406894 2583847 4429452 4813788 5167694 7751541 10335388 15503082 31006164 73194523 146389046 219583569 292778092 439167138 512361661 878334276 1024723322 1244306891 1537084983 2049446644 2488613782 3074169966 3732920673 4977227564 6148339932 7465841346 8710148237 14931682692 17420296474 26130444711 34840592948 52260889422 104521778844