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133764284644 = 221723123472
BaseRepresentation
bin111110010010011111…
…0010000000011100100
3110210021021002201101121
41330210332100003210
54142422124102034
6141241144503324
712443542442104
oct1744476200344
9423237081347
10133764284644
11518024a6981
1221b1147ab44
13c7c9a156b3
14668d3c1204
15372d5771b4
hex1f24f900e4

133764284644 has 81 divisors (see below), whose sum is σ = 257690245449. Its totient is φ = 60741767040.

The previous prime is 133764284617. The next prime is 133764284651. The reversal of 133764284644 is 446482467331.

The square root of 133764284644 is 365738.

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., 104141744100 + 29622540544 = 322710^2 + 172112^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 133764284591 and 133764284600.

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 26 ways as a sum of consecutive naturals, for example, 385487679 + ... + 385488025.

Almost surely, 2133764284644 is an apocalyptic number.

133764284644 is the 365738-th square number.

It is an amenable number.

133764284644 is a deficient number, since it is larger than the sum of its proper divisors (123925960805).

133764284644 is an equidigital number, since it uses as much as digits as its factorization.

133764284644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 794 (or 397 counting only the distinct ones).

The product of its digits is 9289728, while the sum is 52.

The spelling of 133764284644 in words is "one hundred thirty-three billion, seven hundred sixty-four million, two hundred eighty-four thousand, six hundred forty-four".

Divisors: 1 2 4 17 31 34 62 68 124 289 347 527 578 694 961 1054 1156 1388 1922 2108 3844 5899 8959 10757 11798 16337 17918 21514 23596 32674 35836 43028 65348 100283 120409 182869 200566 240818 277729 333467 365738 401132 481636 555458 666934 731476 1110916 1333868 2046953 3108773 3732679 4093906 5668939 6217546 7465358 8187812 11337878 12435092 14930716 22675756 34798201 63455543 69596402 96371963 115713049 126911086 139192804 192743926 231426098 253822172 385487852 462852196 1078744231 1967121833 2157488462 3934243666 4314976924 7868487332 33441071161 66882142322 133764284644