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133274644624 = 2411282972
BaseRepresentation
bin111110000011111001…
…0011011000010010000
3110202000010202102120001
41330013302123002100
54140421302111444
6141120414055344
712425445534142
oct1740762330220
9422003672501
10133274644624
1151581076100
12219b54aa554
13c74c449c84
146644364c92
1537005a88d4
hex1f07c9b090

133274644624 has 45 divisors (see below), whose sum is σ = 283862394361. Its totient is φ = 60572082560.

The previous prime is 133274644621. The next prime is 133274644669. The reversal of 133274644624 is 426446472331.

The square root of 133274644624 is 365068.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 132248595600 + 1026049024 = 363660^2 + 32032^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133274644621) by changing a digit.

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 8 ways as a sum of consecutive naturals, for example, 16058844 + ... + 16067140.

Almost surely, 2133274644624 is an apocalyptic number.

133274644624 is the 365068-th square number.

It is an amenable number.

133274644624 is an abundant number, since it is smaller than the sum of its proper divisors (150587749737).

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

133274644624 is an frugal number, since it uses more digits than its factorization.

133274644624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16624 (or 8310 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 46.

The spelling of 133274644624 in words is "one hundred thirty-three billion, two hundred seventy-four million, six hundred forty-four thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 44 88 121 176 242 484 968 1936 8297 16594 33188 66376 91267 132752 182534 365068 730136 1003937 1460272 2007874 4015748 8031496 16062992 68840209 137680418 275360836 550721672 757242299 1101443344 1514484598 3028969196 6057938392 8329665289 12115876784 16659330578 33318661156 66637322312 133274644624