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3532050052128 = 253213943389437
BaseRepresentation
bin110011011001011110100…
…101101011010000100000
3110111122211122022022220100
4303121132211223100200
5430332114303132003
611302333522342400
7513116331036603
oct63313645532040
913448748268810
103532050052128
111141a301a0764
124906504baa00
131c80bc993160
14c2d4892c33a
1561d23e4dba3
hex3365e96b420

3532050052128 has 72 divisors (see below), whose sum is σ = 10816903296108. Its totient is φ = 1086784630272.

The previous prime is 3532050052081. The next prime is 3532050052199. The reversal of 3532050052128 is 8212500502353.

3532050052128 is a `hidden beast` number, since 3 + 5 + 3 + 20 + 500 + 5 + 2 + 128 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3493654433424 + 38395618704 = 1869132^2 + 195948^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 3532050052092 and 3532050052101.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 471690975 + ... + 471698462.

Almost surely, 23532050052128 is an apocalyptic number.

It is an amenable number.

3532050052128 is an abundant number, since it is smaller than the sum of its proper divisors (7284853243980).

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

3532050052128 is a wasteful number, since it uses less digits than its factorization.

3532050052128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 943389466 (or 943389455 counting only the distinct ones).

The product of its (nonzero) digits is 72000, while the sum is 36.

The spelling of 3532050052128 in words is "three trillion, five hundred thirty-two billion, fifty million, fifty-two thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 72 78 96 104 117 144 156 208 234 288 312 416 468 624 936 1248 1872 3744 943389437 1886778874 2830168311 3773557748 5660336622 7547115496 8490504933 11320673244 12264062681 15094230992 16981009866 22641346488 24528125362 30188461984 33962019732 36792188043 45282692976 49056250724 67924039464 73584376086 90565385952 98112501448 110376564129 135848078928 147168752172 196225002896 220753128258 271696157856 294337504344 392450005792 441506256516 588675008688 883012513032 1177350017376 1766025026064 3532050052128