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133040827530 = 232513911124819
BaseRepresentation
bin111101111100111011…
…0011110110010001010
3110201101211210021210200
41323321312132302022
54134431422440110
6141041302353030
712416606242512
oct1737166366212
9421354707720
10133040827530
1151471095936
122194b12b776
13c712b82470
14662129c842
1536d9cbe6c0
hex1ef9d9ec8a

133040827530 has 96 divisors (see below), whose sum is σ = 372926211840. Its totient is φ = 32712301440.

The previous prime is 133040827499. The next prime is 133040827567. The reversal of 133040827530 is 35728040331.

133040827530 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 40 + 82 + 7 + 530 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1003461 + ... + 1128279.

It is an arithmetic number, because the mean of its divisors is an integer number (3884648040).

Almost surely, 2133040827530 is an apocalyptic number.

133040827530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 133040827530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186463105920).

133040827530 is an abundant number, since it is smaller than the sum of its proper divisors (239885384310).

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

133040827530 is a wasteful number, since it uses less digits than its factorization.

133040827530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 125756 (or 125753 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 133040827530 its reverse (35728040331), we get a palindrome (168768867861).

The spelling of 133040827530 in words is "one hundred thirty-three billion, forty million, eight hundred twenty-seven thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 13 15 18 26 30 39 45 65 78 90 117 130 195 234 390 585 911 1170 1822 2733 4555 5466 8199 9110 11843 13665 16398 23686 27330 35529 40995 59215 71058 81990 106587 118430 124819 177645 213174 249638 355290 374457 532935 624095 748914 1065870 1123371 1248190 1622647 1872285 2246742 3245294 3744570 4867941 5616855 8113235 9735882 11233710 14603823 16226470 24339705 29207646 48679410 73019115 113710109 146038230 227420218 341130327 568550545 682260654 1023390981 1137101090 1478231417 1705651635 2046781962 2956462834 3411303270 4434694251 5116954905 7391157085 8869388502 10233909810 13304082753 14782314170 22173471255 26608165506 44346942510 66520413765 133040827530