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133713086224 = 2411328092
BaseRepresentation
bin111110010000111101…
…0111100011100010000
3110210010200202120100211
41330201322330130100
54142321022224344
6141232115253504
712442351323424
oct1744172743420
9423120676324
10133713086224
1151786607833
1221ab82aa294
13c7bc22a983
146686694b84
153728d12334
hex1f21ebc710

133713086224 has 45 divisors (see below), whose sum is σ = 261705532543. Its totient is φ = 66182982656.

The previous prime is 133713086179. The next prime is 133713086239. The reversal of 133713086224 is 422680317331.

The square root of 133713086224 is 365668.

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

It can be written as a sum of positive squares in 4 ways, for example, as 6384010000 + 127329076224 = 79900^2 + 356832^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 165281532 + ... + 165282340.

Almost surely, 2133713086224 is an apocalyptic number.

133713086224 is the 365668-th square number.

It is an amenable number.

133713086224 is a deficient number, since it is larger than the sum of its proper divisors (127992446319).

133713086224 is an frugal number, since it uses more digits than its factorization.

133713086224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1852 (or 924 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 40.

The spelling of 133713086224 in words is "one hundred thirty-three billion, seven hundred thirteen million, eighty-six thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 113 226 452 809 904 1618 1808 3236 6472 12769 12944 25538 51076 91417 102152 182834 204304 365668 654481 731336 1308962 1462672 2617924 5235848 10330121 10471696 20660242 41320484 73956353 82640968 147912706 165281936 295825412 591650824 1183301648 8357067889 16714135778 33428271556 66856543112 133713086224