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104590354608 = 243229103243161
BaseRepresentation
bin110000101101000010…
…0100010100010110000
3100222222002012111222100
41201122010202202300
53203200112321413
6120014222140400
710361563226355
oct1413204424260
9328862174870
10104590354608
11403a158a4a3
121832b121700
139b2a8306bc
1450c296a62c
152ac2224a73
hex185a1228b0

104590354608 has 120 divisors (see below), whose sum is σ = 305742172320. Its totient is φ = 33334318080.

The previous prime is 104590354607. The next prime is 104590354657. The reversal of 104590354608 is 806453095401.

104590354608 is a `hidden beast` number, since 1 + 0 + 4 + 5 + 9 + 0 + 35 + 4 + 608 = 666.

It is not an unprimeable number, because it can be changed into a prime (104590354607) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308548 + ... + 551708.

It is an arithmetic number, because the mean of its divisors is an integer number (2547851436).

Almost surely, 2104590354608 is an apocalyptic number.

104590354608 is a gapful number since it is divisible by the number (18) 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 104590354608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152871086160).

104590354608 is an abundant number, since it is smaller than the sum of its proper divisors (201151817712).

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

104590354608 is a wasteful number, since it uses less digits than its factorization.

104590354608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243307 (or 243298 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

The spelling of 104590354608 in words is "one hundred four billion, five hundred ninety million, three hundred fifty-four thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 36 48 58 72 87 103 116 144 174 206 232 261 309 348 412 464 522 618 696 824 927 1044 1236 1392 1648 1854 2088 2472 2987 3708 4176 4944 5974 7416 8961 11948 14832 17922 23896 26883 35844 47792 53766 71688 107532 143376 215064 243161 430128 486322 729483 972644 1458966 1945288 2188449 2917932 3890576 4376898 5835864 7051669 8753796 11671728 14103338 17507592 21155007 25045583 28206676 35015184 42310014 50091166 56413352 63465021 75136749 84620028 100182332 112826704 126930042 150273498 169240056 200364664 225410247 253860084 300546996 338480112 400729328 450820494 507720168 601093992 726321907 901640988 1015440336 1202187984 1452643814 1803281976 2178965721 2905287628 3606563952 4357931442 5810575256 6536897163 8715862884 11621150512 13073794326 17431725768 26147588652 34863451536 52295177304 104590354608