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133518996 = 223313611559
BaseRepresentation
bin1111111010101…
…01011010010100
3100022020110122000
413331111122110
5233140101441
621125435300
73210615132
oct775253224
9308213560
10133518996
1169405886
123886bb30
132187b430
1413a38752
15bac62b6
hex7f55694

133518996 has 96 divisors (see below), whose sum is σ = 379142400. Its totient is φ = 40383360.

The previous prime is 133518989. The next prime is 133518997. The reversal of 133518996 is 699815331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133518997) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 84865 + ... + 86423.

It is an arithmetic number, because the mean of its divisors is an integer number (3949400).

Almost surely, 2133518996 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 133518996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189571200).

133518996 is an abundant number, since it is smaller than the sum of its proper divisors (245623404).

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

133518996 is a wasteful number, since it uses less digits than its factorization.

133518996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1646 (or 1638 counting only the distinct ones).

The product of its digits is 174960, while the sum is 45.

The square root of 133518996 is about 11555.0420163667. The cubic root of 133518996 is about 511.1099700388.

The spelling of 133518996 in words is "one hundred thirty-three million, five hundred eighteen thousand, nine hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 61 78 108 117 122 156 183 234 244 351 366 468 549 702 732 793 1098 1404 1559 1586 1647 2196 2379 3118 3172 3294 4677 4758 6236 6588 7137 9354 9516 14031 14274 18708 20267 21411 28062 28548 40534 42093 42822 56124 60801 81068 84186 85644 95099 121602 168372 182403 190198 243204 285297 364806 380396 547209 570594 729612 855891 1094418 1141188 1236287 1711782 2188836 2472574 2567673 3423564 3708861 4945148 5135346 7417722 10270692 11126583 14835444 22253166 33379749 44506332 66759498 133518996