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42861672945 = 32571310466831
BaseRepresentation
bin100111111010110000…
…010011100111110001
311002122002210120210100
4213322300103213301
51200240042013240
631405042223013
73045103131420
oct477260234761
9132562716710
1042861672945
11171a532a303
128382354a69
134070bc4070
1421086872b7
1511acd54e30
hex9fac139f1

42861672945 has 48 divisors (see below), whose sum is σ = 91438244352. Its totient is φ = 18086682240.

The previous prime is 42861672881. The next prime is 42861672961. The reversal of 42861672945 is 54927616824.

42861672945 is a `hidden beast` number, since 428 + 61 + 6 + 72 + 94 + 5 = 666.

It is not a de Polignac number, because 42861672945 - 26 = 42861672881 is a prime.

It is a super-3 number, since 3×428616729453 (a number of 33 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 42861672891 and 42861672900.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5229321 + ... + 5237510.

It is an arithmetic number, because the mean of its divisors is an integer number (1904963424).

Almost surely, 242861672945 is an apocalyptic number.

42861672945 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42861672945 is an abundant number, since it is smaller than the sum of its proper divisors (48576571407).

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

42861672945 is a wasteful number, since it uses less digits than its factorization.

42861672945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10466862 (or 10466859 counting only the distinct ones).

The product of its digits is 5806080, while the sum is 54.

It can be divided in two parts, 42861 and 672945, that added together give a triangular number (715806 = T1196).

The spelling of 42861672945 in words is "forty-two billion, eight hundred sixty-one million, six hundred seventy-two thousand, nine hundred forty-five".

Divisors: 1 3 5 7 9 13 15 21 35 39 45 63 65 91 105 117 195 273 315 455 585 819 1365 4095 10466831 31400493 52334155 73267817 94201479 136068803 157002465 219803451 366339085 408206409 471007395 659410353 680344015 952481621 1099017255 1224619227 2041032045 2857444863 3297051765 4762408105 6123096135 8572334589 14287224315 42861672945