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133738550901 = 3529472331733
BaseRepresentation
bin111110010001101110…
…0000101011001110101
3110210012110200022100000
41330203130011121311
54142344032112101
6141234425141513
712443110632444
oct1744334053165
9423173608300
10133738550901
1151799a1a81a
1221b0492a899
13c7c45a5527
146689c02d5b
15372b192486
hex1f23705675

133738550901 has 96 divisors (see below), whose sum is σ = 212681064960. Its totient is φ = 83842988544.

The previous prime is 133738550879. The next prime is 133738550903. The reversal of 133738550901 is 109055837331.

133738550901 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 3 + 8 + 550 + 90 + 1 = 666.

It is not a de Polignac number, because 133738550901 - 26 = 133738550837 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133738550903) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 77170831 + ... + 77172563.

It is an arithmetic number, because the mean of its divisors is an integer number (2215427760).

Almost surely, 2133738550901 is an apocalyptic number.

It is an amenable number.

133738550901 is a deficient number, since it is larger than the sum of its proper divisors (78942514059).

133738550901 is a wasteful number, since it uses less digits than its factorization.

133738550901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2057 (or 2045 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 133738550901 in words is "one hundred thirty-three billion, seven hundred thirty-eight million, five hundred fifty thousand, nine hundred one".

Divisors: 1 3 9 27 29 47 81 87 141 233 243 261 423 699 783 1269 1363 1733 2097 2349 3807 4089 5199 6291 6757 7047 10951 11421 12267 15597 18873 20271 32853 36801 46791 50257 56619 60813 81451 98559 110403 140373 150771 182439 244353 295677 317579 331209 403789 421119 452313 547317 733059 887031 952737 1211367 1356939 1641951 2199177 2362079 2661093 2858211 3634101 4070817 6597531 7086237 8574633 10902303 11709881 12212451 18978083 19792593 21258711 25723899 32706909 35129643 56934249 63776133 77171697 98120727 105388929 170802747 191328399 316166787 512408241 550364407 573985197 948500361 1537224723 1651093221 2845501083 4611674169 4953279663 14859838989 44579516967 133738550901