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42587938701 = 37711252899
BaseRepresentation
bin100111101010011100…
…000101111110001101
311001221000201110000000
4213222130011332031
51144210003014301
631321543154513
73035240335410
oct475234057615
9131830643000
1042587938701
1117074865760
128306745a39
134029291639
1420c018db77
151193cd3786
hex9ea705f8d

42587938701 has 64 divisors (see below), whose sum is σ = 79633152000. Its totient is φ = 22123517040.

The previous prime is 42587938643. The next prime is 42587938709. The reversal of 42587938701 is 10783978524.

It is a happy number.

42587938701 is a `hidden beast` number, since 4 + 258 + 7 + 9 + 387 + 0 + 1 = 666.

It is not a de Polignac number, because 42587938701 - 213 = 42587930509 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42587938709) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41950 + ... + 294848.

It is an arithmetic number, because the mean of its divisors is an integer number (1244268000).

Almost surely, 242587938701 is an apocalyptic number.

It is an amenable number.

42587938701 is a deficient number, since it is larger than the sum of its proper divisors (37045213299).

42587938701 is an equidigital number, since it uses as much as digits as its factorization.

42587938701 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252938 (or 252920 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 54.

The spelling of 42587938701 in words is "forty-two billion, five hundred eighty-seven million, nine hundred thirty-eight thousand, seven hundred one".

Divisors: 1 3 7 9 11 21 27 33 63 77 81 99 189 231 243 297 567 693 729 891 1701 2079 2187 2673 5103 6237 8019 15309 18711 24057 56133 168399 252899 758697 1770293 2276091 2781889 5310879 6828273 8345667 15932637 19473223 20484819 25037001 47797911 58419669 61454457 75111003 143393733 175259007 184363371 225333009 430181199 525777021 553090113 675999027 1290543597 1577331063 2027997081 3871630791 4731993189 6083991243 14195979567 42587938701