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42386934160 = 2451373867421
BaseRepresentation
bin100111011110011101…
…010100100110010000
311001102000111100121101
4213132131110212100
51143302023343120
631250003034144
73030246665344
oct473635244620
9131360440541
1042386934160
1116a81356aaa
12826b36b954
133cc674503c
1420a15c9624
15118132b90a
hex9de754990

42386934160 has 40 divisors (see below), whose sum is σ = 99268987896. Its totient is φ = 16831011840.

The previous prime is 42386934133. The next prime is 42386934179. The reversal of 42386934160 is 6143968324.

42386934160 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1958593536 + 40428340624 = 44256^2 + 201068^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a self number, because there is not a number n which added to its sum of digits gives 42386934160.

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, 1922751 + ... + 1944670.

Almost surely, 242386934160 is an apocalyptic number.

42386934160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

42386934160 is an abundant number, since it is smaller than the sum of its proper divisors (56882053736).

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

42386934160 is a wasteful number, since it uses less digits than its factorization.

42386934160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3867571 (or 3867565 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 46.

The spelling of 42386934160 in words is "forty-two billion, three hundred eighty-six million, nine hundred thirty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 137 274 548 685 1096 1370 2192 2740 5480 10960 3867421 7734842 15469684 19337105 30939368 38674210 61878736 77348420 154696840 309393680 529836677 1059673354 2119346708 2649183385 4238693416 5298366770 8477386832 10596733540 21193467080 42386934160