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3505042164 = 2231328379393
BaseRepresentation
bin1101000011101010…
…1011001011110100
3100001021100120221110
43100322223023310
524134242322124
61335445115020
7152600236551
oct32072531364
910037316843
103505042164
111539561068
128199b8a70
1343b213660
14253711a28
15157aa6029
hexd0eab2f4

3505042164 has 48 divisors (see below), whose sum is σ = 8838775232. Its totient is φ = 1074650112.

The previous prime is 3505042159. The next prime is 3505042193. The reversal of 3505042164 is 4612405053.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4452 + ... + 83844.

Almost surely, 23505042164 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 3505042164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4419387616).

3505042164 is an abundant number, since it is smaller than the sum of its proper divisors (5333733068).

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

3505042164 is a wasteful number, since it uses less digits than its factorization.

3505042164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79696 (or 79694 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 3505042164 is about 59203.3965579679. The cubic root of 3505042164 is about 1519.0232303688.

The spelling of 3505042164 in words is "three billion, five hundred five million, forty-two thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 283 566 849 1132 1698 3396 3679 7358 11037 14716 22074 44148 79393 158786 238179 317572 476358 952716 1032109 2064218 3096327 4128436 6192654 12385308 22468219 44936438 67404657 89872876 134809314 269618628 292086847 584173694 876260541 1168347388 1752521082 3505042164