Search a number
-
+
133100036736 = 2731672075537
BaseRepresentation
bin111101111110101100…
…0010110001010000000
3110201112222012102120020
41323331120112022000
54140042102133421
6141051215413440
712421225434222
oct1737530261200
9421488172506
10133100036736
11514a1556667
1221966b24280
13c7222134b4
1466290b2412
1536e00b7dc6
hex1efd616280

133100036736 has 64 divisors (see below), whose sum is σ = 355664191680. Its totient is φ = 44100988928.

The previous prime is 133100036669. The next prime is 133100036743. The reversal of 133100036736 is 637630001331.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 133100036697 and 133100036706.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 973641 + ... + 1101896.

It is an arithmetic number, because the mean of its divisors is an integer number (5557252995).

Almost surely, 2133100036736 is an apocalyptic number.

133100036736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

133100036736 is an abundant number, since it is smaller than the sum of its proper divisors (222564154944).

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

133100036736 is a wasteful number, since it uses less digits than its factorization.

133100036736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2075721 (or 2075709 counting only the distinct ones).

The product of its (nonzero) digits is 20412, while the sum is 33.

The spelling of 133100036736 in words is "one hundred thirty-three billion, one hundred million, thirty-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 167 192 334 384 501 668 1002 1336 2004 2672 4008 5344 8016 10688 16032 21376 32064 64128 2075537 4151074 6226611 8302148 12453222 16604296 24906444 33208592 49812888 66417184 99625776 132834368 199251552 265668736 346614679 398503104 693229358 797006208 1039844037 1386458716 2079688074 2772917432 4159376148 5545834864 8318752296 11091669728 16637504592 22183339456 33275009184 44366678912 66550018368 133100036736