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104104479776 = 25111761285199
BaseRepresentation
bin110000011110100011…
…1000100110000100000
3100221201012221112000012
41200331013010300200
53201201221323101
6115454104144052
710343543322563
oct1407507046040
9327635845005
10104104479776
11401722a0550
1218214468028
139a80c829bb
1450782104da
152a9474bbbb
hex183d1c4c20

104104479776 has 96 divisors (see below), whose sum is σ = 240622099200. Its totient is φ = 43806412800.

The previous prime is 104104479733. The next prime is 104104479779. The reversal of 104104479776 is 677974401401.

104104479776 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (104104479779) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 222425 + ... + 507623.

It is an arithmetic number, because the mean of its divisors is an integer number (2506480200).

Almost surely, 2104104479776 is an apocalyptic number.

104104479776 is a gapful number since it is divisible by the number (16) 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 104104479776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (120311049600).

104104479776 is an abundant number, since it is smaller than the sum of its proper divisors (136517619424).

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

104104479776 is a wasteful number, since it uses less digits than its factorization.

104104479776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 285298 (or 285290 counting only the distinct ones).

The product of its (nonzero) digits is 1185408, while the sum is 50.

The spelling of 104104479776 in words is "one hundred four billion, one hundred four million, four hundred seventy-nine thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 11 16 17 22 32 34 44 61 68 88 122 136 176 187 244 272 352 374 488 544 671 748 976 1037 1342 1496 1952 2074 2684 2992 4148 5368 5984 8296 10736 11407 16592 21472 22814 33184 45628 91256 182512 285199 365024 570398 1140796 2281592 3137189 4563184 4848383 6274378 9126368 9696766 12548756 17397139 19393532 25097512 34794278 38787064 50195024 53332213 69588556 77574128 100390048 106664426 139177112 155148256 191368529 213328852 278354224 295751363 382737058 426657704 556708448 591502726 765474116 853315408 1183005452 1530948232 1706630816 2366010904 3061896464 3253264993 4732021808 6123792928 6506529986 9464043616 13013059972 26026119944 52052239888 104104479776