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133477583092 = 22725315718179
BaseRepresentation
bin111110001001111100…
…0100100100011110100
3110202112021121202210121
41330103320210203310
54141330230124332
6141152503501324
712433461510400
oct1742370444364
9422467552717
10133477583092
1151675685847
1221a51457844
13c7824c28c9
1466632b0100
1537132e3797
hex1f13e248f4

133477583092 has 72 divisors (see below), whose sum is σ = 277059152160. Its totient is φ = 56082761280.

The previous prime is 133477583059. The next prime is 133477583093. The reversal of 133477583092 is 290385774331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133477583093) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16315459 + ... + 16323637.

It is an arithmetic number, because the mean of its divisors is an integer number (3848043780).

Almost surely, 2133477583092 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133477583092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138529576080).

133477583092 is an abundant number, since it is smaller than the sum of its proper divisors (143581569068).

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

133477583092 is a wasteful number, since it uses less digits than its factorization.

133477583092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9821 (or 9812 counting only the distinct ones).

The product of its (nonzero) digits is 3810240, while the sum is 52.

The spelling of 133477583092 in words is "one hundred thirty-three billion, four hundred seventy-seven million, five hundred eighty-three thousand, ninety-two".

Divisors: 1 2 4 7 14 28 49 53 98 106 196 212 371 742 1484 1571 2597 3142 5194 6284 8179 10388 10997 16358 21994 32716 43988 57253 76979 83263 114506 153958 166526 229012 307916 333052 400771 433487 582841 801542 866974 1165682 1603084 1733948 2331364 3034409 4079887 6068818 8159774 12137636 12849209 16319548 21240863 25698418 42481726 51396836 84963452 89944463 179888926 359777852 629611241 681008077 1259222482 1362016154 2518444964 2724032308 4767056539 9534113078 19068226156 33369395773 66738791546 133477583092