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133105040544 = 2537198072977
BaseRepresentation
bin111101111110110101…
…1011011110010100000
3110201120022121122111110
41323331223123302200
54140044342244134
6141051514543320
712421316114460
oct1737553336240
9421508548443
10133105040544
11514a4364043
1221968737b40
13c723275c28
146629a15ba0
1536e07557e9
hex1efdadbca0

133105040544 has 48 divisors (see below), whose sum is σ = 399315123648. Its totient is φ = 38030011392.

The previous prime is 133105040489. The next prime is 133105040603. The reversal of 133105040544 is 445040501331.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 99035817 + ... + 99037160.

It is an arithmetic number, because the mean of its divisors is an integer number (8319065076).

Almost surely, 2133105040544 is an apocalyptic number.

133105040544 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

133105040544 is an abundant number, since it is smaller than the sum of its proper divisors (266210083104).

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

133105040544 is a wasteful number, since it uses less digits than its factorization.

133105040544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198072997 (or 198072989 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

Adding to 133105040544 its reverse (445040501331), we get a palindrome (578145541875).

The spelling of 133105040544 in words is "one hundred thirty-three billion, one hundred five million, forty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 198072977 396145954 594218931 792291908 1188437862 1386510839 1584583816 2376875724 2773021678 3169167632 4159532517 4753751448 5546043356 6338335264 8319065034 9507502896 11092086712 16638130068 19015005792 22184173424 33276260136 44368346848 66552520272 133105040544