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105483004080 = 2435538292689
BaseRepresentation
bin110001000111101000…
…1101110100010110000
3101002021021212210211220
41202033101232202300
53212012122112310
6120242550505040
710422652512066
oct1421721564260
9332237783756
10105483004080
114080a451233
121853a065180
139c4075245c
145169332036
152b2579d670
hex188f46e8b0

105483004080 has 80 divisors (see below), whose sum is σ = 333167113440. Its totient is φ = 27598065664.

The previous prime is 105483004073. The next prime is 105483004103. The reversal of 105483004080 is 80400384501.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×1054830040802 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4133625 + ... + 4159064.

It is an arithmetic number, because the mean of its divisors is an integer number (4164588918).

Almost surely, 2105483004080 is an apocalyptic number.

105483004080 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

105483004080 is an abundant number, since it is smaller than the sum of its proper divisors (227684109360).

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

105483004080 is a wasteful number, since it uses less digits than its factorization.

105483004080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8292758 (or 8292752 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 33.

Adding to 105483004080 its reverse (80400384501), we get a palindrome (185883388581).

The spelling of 105483004080 in words is "one hundred five billion, four hundred eighty-three million, four thousand, eighty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 53 60 80 106 120 159 212 240 265 318 424 530 636 795 848 1060 1272 1590 2120 2544 3180 4240 6360 12720 8292689 16585378 24878067 33170756 41463445 49756134 66341512 82926890 99512268 124390335 132683024 165853780 199024536 248780670 331707560 398049072 439512517 497561340 663415120 879025034 995122680 1318537551 1758050068 1990245360 2197562585 2637075102 3516100136 4395125170 5274150204 6592687755 7032200272 8790250340 10548300408 13185375510 17580500680 21096600816 26370751020 35161001360 52741502040 105483004080