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34025525064 = 2333157525579
BaseRepresentation
bin11111101100000101…
…000100111101001000
310020211022000202122000
4133230011010331020
51024141013300224
623344153031000
72313120122346
oct375405047510
9106738022560
1034025525064
1113480581653
1267170b5460
1332933829ab
14190ad24996
15d422420c9
hex7ec144f48

34025525064 has 32 divisors (see below), whose sum is σ = 94515348000. Its totient is φ = 11341841616.

The previous prime is 34025525029. The next prime is 34025525227. The reversal of 34025525064 is 46052552043.

34025525064 is a `hidden beast` number, since 3 + 40 + 2 + 552 + 5 + 0 + 64 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 78762574 + ... + 78763005.

It is an arithmetic number, because the mean of its divisors is an integer number (2953604625).

Almost surely, 234025525064 is an apocalyptic number.

It is an amenable number.

34025525064 is an abundant number, since it is smaller than the sum of its proper divisors (60489822936).

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

34025525064 is a wasteful number, since it uses less digits than its factorization.

34025525064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157525594 (or 157525584 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

The spelling of 34025525064 in words is "thirty-four billion, twenty-five million, five hundred twenty-five thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 157525579 315051158 472576737 630102316 945153474 1260204632 1417730211 1890306948 2835460422 3780613896 4253190633 5670920844 8506381266 11341841688 17012762532 34025525064