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42743081646 = 23412713115859
BaseRepresentation
bin100111110011101011…
…111010101010101110
311002022211122112010000
4213303223322222232
51200014212103041
631345204325130
73042133125246
oct476353725256
9132284575100
1042743081646
111714439a971
12834a6a37a6
1340524713b5
1420d6a16b26
1511a272bbb6
hex9f3afaaae

42743081646 has 80 divisors (see below), whose sum is σ = 97273313280. Its totient is φ = 14026718160.

The previous prime is 42743081629. The next prime is 42743081683. The reversal of 42743081646 is 64618034724.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2687265 + ... + 2703123.

It is an arithmetic number, because the mean of its divisors is an integer number (1215916416).

Almost surely, 242743081646 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42743081646, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48636656640).

42743081646 is an abundant number, since it is smaller than the sum of its proper divisors (54530231634).

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

42743081646 is a wasteful number, since it uses less digits than its factorization.

42743081646 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16131 (or 16122 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 45.

The spelling of 42743081646 in words is "forty-two billion, seven hundred forty-three million, eighty-one thousand, six hundred forty-six".

Divisors: 1 2 3 6 9 18 27 54 81 127 131 162 254 262 381 393 762 786 1143 1179 2286 2358 3429 3537 6858 7074 10287 10611 15859 16637 20574 21222 31718 33274 47577 49911 95154 99822 142731 149733 285462 299466 428193 449199 856386 898398 1284579 1347597 2014093 2077529 2569158 2695194 4028186 4155058 6042279 6232587 12084558 12465174 18126837 18697761 36253674 37395522 54380511 56093283 108761022 112186566 163141533 168279849 263846183 326283066 336559698 527692366 791538549 1583077098 2374615647 4749231294 7123846941 14247693882 21371540823 42743081646