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133033010240 = 2651331979089
BaseRepresentation
bin111101111100101100…
…0101010010001000000
3110201101022002010111102
41323321120222101000
54134422422311430
6141040423033532
712416452633544
oct1737130522100
9421338063442
10133033010240
1151467736669
122194859b8a8
13c711376250
146620225a24
1536d9278345
hex1ef962a440

133033010240 has 56 divisors (see below), whose sum is σ = 341152932120. Its totient is φ = 49119879168.

The previous prime is 133033010207. The next prime is 133033010261. The reversal of 133033010240 is 42010330331.

It can be written as a sum of positive squares in 4 ways, for example, as 32584582144 + 100448428096 = 180512^2 + 316936^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

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 7 ways as a sum of consecutive naturals, for example, 15985385 + ... + 15993704.

It is an arithmetic number, because the mean of its divisors is an integer number (6092016645).

Almost surely, 2133033010240 is an apocalyptic number.

133033010240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

133033010240 is an abundant number, since it is smaller than the sum of its proper divisors (208119921880).

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

133033010240 is a wasteful number, since it uses less digits than its factorization.

133033010240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31979119 (or 31979109 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 133033010240 its reverse (42010330331), we get a palindrome (175043340571).

The spelling of 133033010240 in words is "one hundred thirty-three billion, thirty-three million, ten thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 64 65 80 104 130 160 208 260 320 416 520 832 1040 2080 4160 31979089 63958178 127916356 159895445 255832712 319790890 415728157 511665424 639581780 831456314 1023330848 1279163560 1662912628 2046661696 2078640785 2558327120 3325825256 4157281570 5116654240 6651650512 8314563140 10233308480 13303301024 16629126280 26606602048 33258252560 66516505120 133033010240