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42577743042 = 2333173348421
BaseRepresentation
bin100111101001110101…
…001100110011000010
311001220022112110012000
4213221311030303002
51144144400234132
631320540444430
73035054562432
oct475165146302
9131808473160
1042577743042
111706a03159a
128303249716
1340271319c3
1420bca982c2
151192e6c87c
hex9e9d4ccc2

42577743042 has 64 divisors (see below), whose sum is σ = 99007595520. Its totient is φ = 13546569600.

The previous prime is 42577743041. The next prime is 42577743151. The reversal of 42577743042 is 24034777524.

42577743042 is a `hidden beast` number, since 4 + 2 + 577 + 7 + 4 + 30 + 42 = 666.

42577743042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (42577743041) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52009 + ... + 296412.

It is an arithmetic number, because the mean of its divisors is an integer number (1546993680).

Almost surely, 242577743042 is an apocalyptic number.

42577743042 is an abundant number, since it is smaller than the sum of its proper divisors (56429852478).

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

42577743042 is a wasteful number, since it uses less digits than its factorization.

42577743042 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 348536 (or 348530 counting only the distinct ones).

The product of its (nonzero) digits is 1317120, while the sum is 45.

The spelling of 42577743042 in words is "forty-two billion, five hundred seventy-seven million, seven hundred forty-three thousand, forty-two".

Divisors: 1 2 3 6 9 18 27 31 54 62 73 93 146 186 219 279 438 558 657 837 1314 1674 1971 2263 3942 4526 6789 13578 20367 40734 61101 122202 348421 696842 1045263 2090526 3135789 6271578 9407367 10801051 18814734 21602102 25434733 32403153 50869466 64806306 76304199 97209459 152608398 194418918 228912597 291628377 457825194 583256754 686737791 788476723 1373475582 1576953446 2365430169 4730860338 7096290507 14192581014 21288871521 42577743042