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67825145106 = 23217431514271
BaseRepresentation
bin111111001010101100…
…011001010100010010
320111001211222100211100
4333022230121110102
52102401214120411
651054120125230
74620525135555
oct771254312422
9214054870740
1067825145106
1126845587434
121118a606816
13651b9ab274
1433d5c4269c
151b6e70e456
hexfcab19512

67825145106 has 48 divisors (see below), whose sum is σ = 155960183808. Its totient is φ = 21229065600.

The previous prime is 67825145093. The next prime is 67825145111. The reversal of 67825145106 is 60154152876.

67825145106 is a `hidden beast` number, since 6 + 7 + 82 + 51 + 4 + 510 + 6 = 666.

67825145106 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 125250 + ... + 389021.

It is an arithmetic number, because the mean of its divisors is an integer number (3249170496).

Almost surely, 267825145106 is an apocalyptic number.

67825145106 is an abundant number, since it is smaller than the sum of its proper divisors (88135038702).

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

67825145106 is a wasteful number, since it uses less digits than its factorization.

67825145106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 514727 (or 514724 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 67825145106 in words is "sixty-seven billion, eight hundred twenty-five million, one hundred forty-five thousand, one hundred six".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 431 862 1293 2586 3879 7327 7758 14654 21981 43962 65943 131886 514271 1028542 1542813 3085626 4628439 8742607 9256878 17485214 26227821 52455642 78683463 157366926 221650801 443301602 664952403 1329904806 1994857209 3768063617 3989714418 7536127234 11304190851 22608381702 33912572553 67825145106