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1027042457634 = 23453119618269
BaseRepresentation
bin11101111001000001000…
…00000011100000100010
310122011222100120121110000
432330200200003200202
5113311340332121014
62103452232120430
7134126032564254
oct16744040034042
93564870517400
101027042457634
11366625768636
1214706a536116
1375b079c376b
14379cdb7bcd4
151bab08d6509
hexef20803822

1027042457634 has 40 divisors (see below), whose sum is σ = 2344757328540. Its totient is φ = 335888096544.

The previous prime is 1027042457633. The next prime is 1027042457641. The reversal of 1027042457634 is 4367542407201.

1027042457634 is a `hidden beast` number, since 1 + 0 + 2 + 7 + 0 + 4 + 2 + 4 + 5 + 7 + 634 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 860580905625 + 166461552009 = 927675^2 + 407997^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1027042457634.

It is not an unprimeable number, because it can be changed into a prime (1027042457633) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 59800549 + ... + 59817720.

Almost surely, 21027042457634 is an apocalyptic number.

1027042457634 is an abundant number, since it is smaller than the sum of its proper divisors (1317714870906).

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

1027042457634 is a wasteful number, since it uses less digits than its factorization.

1027042457634 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119618336 (or 119618327 counting only the distinct ones).

The product of its (nonzero) digits is 1128960, while the sum is 45.

The spelling of 1027042457634 in words is "one trillion, twenty-seven billion, forty-two million, four hundred fifty-seven thousand, six hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 53 54 81 106 159 162 318 477 954 1431 2862 4293 8586 119618269 239236538 358854807 717709614 1076564421 2153128842 3229693263 6339768257 6459386526 9689079789 12679536514 19019304771 19378159578 38038609542 57057914313 114115828626 171173742939 342347485878 513521228817 1027042457634