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133585197328 = 241117433832711
BaseRepresentation
bin111110001101001001…
…1000101100100010000
3110202210210010010210001
41330122103011210100
54142040302303303
6141211310215344
712436236304462
oct1743223054420
9422723103701
10133585197328
11517203a7a30
1221a814b4554
13c79b8a107b
1466736c4132
15371c99e31d
hex1f1a4c5910

133585197328 has 160 divisors (see below), whose sum is σ = 306823790592. Its totient is φ = 55653427200.

The previous prime is 133585197323. The next prime is 133585197329. The reversal of 133585197328 is 823791585331.

It is not an unprimeable number, because it can be changed into a prime (133585197323) 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, 49273893 + ... + 49276603.

Almost surely, 2133585197328 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 133585197328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153411895296).

133585197328 is an abundant number, since it is smaller than the sum of its proper divisors (173238593264).

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

133585197328 is a wasteful number, since it uses less digits than its factorization.

133585197328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3173 (or 3167 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 133585197328 in words is "one hundred thirty-three billion, five hundred eighty-five million, one hundred ninety-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 17 22 34 43 44 68 86 88 136 172 176 187 272 344 374 383 473 688 731 748 766 946 1462 1496 1532 1892 2711 2924 2992 3064 3784 4213 5422 5848 6128 6511 7568 8041 8426 10844 11696 13022 16082 16469 16852 21688 26044 29821 32164 32938 33704 43376 46087 52088 59642 64328 65876 67408 71621 92174 104176 116573 119284 128656 131752 143242 181159 184348 233146 238568 263504 279973 286484 362318 368696 466292 477136 506957 559946 572968 724636 737392 932584 1013914 1038313 1119892 1145936 1282303 1449272 1865168 1981741 2027828 2076626 2239784 2564606 2898544 3079703 3963482 4055656 4153252 4479568 5129212 6159406 7926964 8111312 8306504 10258424 11421443 12318812 15853928 16613008 17651321 20516848 21799151 22842886 24637624 31707856 35302642 43598302 44647459 45685772 49275248 70605284 87196604 89294918 91371544 141210568 174393208 178589836 182743088 194164531 282421136 348786416 357179672 388329062 491122049 714359344 759006803 776658124 982244098 1518013606 1553316248 1964488196 3036027212 3106632496 3928976392 6072054424 7857952784 8349074833 12144108848 16698149666 33396299332 66792598664 133585197328