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135473975168 = 2771131338041
BaseRepresentation
bin111111000101011100…
…0001100111110000000
3110221200102011222212212
41332022320030332000
54204422314201133
6142122541241252
712534112534430
oct1761270147600
9427612158785
10135473975168
11524aa588754
1222309b63228
13ca0cca59ac
1467b24aa2c0
1537cd6e2148
hex1f8ae0cf80

135473975168 has 64 divisors (see below), whose sum is σ = 311175047520. Its totient is φ = 57546424320.

The previous prime is 135473975111. The next prime is 135473975269. The reversal of 135473975168 is 861579374531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 567773 + ... + 770268.

Almost surely, 2135473975168 is an apocalyptic number.

It is an amenable number.

135473975168 is an abundant number, since it is smaller than the sum of its proper divisors (175701072352).

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

135473975168 is a wasteful number, since it uses less digits than its factorization.

135473975168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1338175 (or 1338163 counting only the distinct ones).

The product of its digits is 19051200, while the sum is 59.

The spelling of 135473975168 in words is "one hundred thirty-five billion, four hundred seventy-three million, nine hundred seventy-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 113 128 224 226 448 452 791 896 904 1582 1808 3164 3616 6328 7232 12656 14464 25312 50624 101248 1338041 2676082 5352164 9366287 10704328 18732574 21408656 37465148 42817312 74930296 85634624 149860592 151198633 171269248 299721184 302397266 599442368 604794532 1058390431 1198884736 1209589064 2116780862 2419178128 4233561724 4838356256 8467123448 9676712512 16934246896 19353425024 33868493792 67736987584 135473975168