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104749850592 = 253547928123
BaseRepresentation
bin110000110001110010…
…0111101111111100000
3101000101012022202100000
41201203210331333200
53204011430204332
6120042120500000
710365541016262
oct1414344757740
9330335282300
10104749850592
1140473618162
121837461a600
139b548a591a
1450d9c07b32
152ad122cb7c
hex186393dfe0

104749850592 has 144 divisors (see below), whose sum is σ = 309570992640. Its totient is φ = 34842483072.

The previous prime is 104749850587. The next prime is 104749850593. The reversal of 104749850592 is 295058947401.

It is a happy number.

104749850592 is a `hidden beast` number, since 1 + 0 + 4 + 7 + 49 + 8 + 5 + 0 + 592 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104749850593) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3710643 + ... + 3738765.

It is an arithmetic number, because the mean of its divisors is an integer number (2149798560).

Almost surely, 2104749850592 is an apocalyptic number.

104749850592 is a gapful number since it is divisible by the number (12) 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 104749850592, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154785496320).

104749850592 is an abundant number, since it is smaller than the sum of its proper divisors (204821142048).

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

104749850592 is an equidigital number, since it uses as much as digits as its factorization.

104749850592 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28627 (or 28607 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 104749850592 in words is "one hundred four billion, seven hundred forty-nine million, eight hundred fifty thousand, five hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 479 486 648 864 958 972 1296 1437 1916 1944 2592 2874 3832 3888 4311 5748 7664 7776 8622 11496 12933 15328 17244 22992 25866 28123 34488 38799 45984 51732 56246 68976 77598 84369 103464 112492 116397 137952 155196 168738 206928 224984 232794 253107 310392 337476 413856 449968 465588 506214 620784 674952 759321 899936 931176 1012428 1241568 1349904 1518642 1862352 2024856 2277963 2699808 3037284 3724704 4049712 4555926 6074568 6833889 8099424 9111852 12149136 13470917 13667778 18223704 24298272 26941834 27335556 36447408 40412751 53883668 54671112 72894816 80825502 107767336 109342224 121238253 161651004 215534672 218684448 242476506 323302008 363714759 431069344 484953012 646604016 727429518 969906024 1091144277 1293208032 1454859036 1939812048 2182288554 2909718072 3273432831 3879624096 4364577108 5819436144 6546865662 8729154216 11638872288 13093731324 17458308432 26187462648 34916616864 52374925296 104749850592