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133249821156 = 22328327332
BaseRepresentation
bin111110000011001001…
…1101110100111100100
3110201221102001021011100
41330012103232213210
54140343423234111
6141114130040100
712425024535414
oct1740623564744
9421842037140
10133249821156
1151569060941
12219a9119030
13c74726822a
146640d42644
1536ed303756
hex1f064ee9e4

133249821156 has 81 divisors (see below), whose sum is σ = 341398728489. Its totient is φ = 43821601632.

The previous prime is 133249821091. The next prime is 133249821169. The reversal of 133249821156 is 651128942331.

The square root of 133249821156 is 365034.

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

133249821156 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 498 + 2 + 1 + 156 = 666.

It can be written as a sum of positive squares in only one way, i.e., 130357102500 + 2892718656 = 361050^2 + 53784^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 181786566 + ... + 181787298.

Almost surely, 2133249821156 is an apocalyptic number.

133249821156 is the 365034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133249821156

133249821156 is an abundant number, since it is smaller than the sum of its proper divisors (208148907333).

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

133249821156 is an frugal number, since it uses more digits than its factorization.

133249821156 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1642 (or 821 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The spelling of 133249821156 in words is "one hundred thirty-three billion, two hundred forty-nine million, eight hundred twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 83 166 249 332 498 733 747 996 1466 1494 2199 2932 2988 4398 6597 6889 8796 13194 13778 20667 26388 27556 41334 60839 62001 82668 121678 124002 182517 243356 248004 365034 537289 547551 730068 1074578 1095102 1611867 2149156 2190204 3223734 4835601 5049637 6447468 9671202 10099274 15148911 19342404 20198548 30297822 44594987 45446733 60595644 89189974 90893466 133784961 178379948 181786932 267569922 401354883 535139844 802709766 1605419532 3701383921 7402767842 11104151763 14805535684 22208303526 33312455289 44416607052 66624910578 133249821156