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34054612425 = 3252151353833
BaseRepresentation
bin11111101101110100…
…000010010111001001
310020220022202112222200
4133231310002113021
51024220440044200
623351112310413
72313622300221
oct375564022711
9106808675880
1034054612425
1113495a39399
1267249a2409
1332993c8452
141910b37081
15d44a8a800
hex7edd025c9

34054612425 has 18 divisors (see below), whose sum is σ = 60995595102. Its totient is φ = 18162459840.

The previous prime is 34054612409. The next prime is 34054612457. The reversal of 34054612425 is 52421645043.

34054612425 is a `hidden beast` number, since 3 + 405 + 4 + 6 + 1 + 242 + 5 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 46457856 + 34008154569 = 6816^2 + 184413^2 .

It is not a de Polignac number, because 34054612425 - 24 = 34054612409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34054612425.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 75676692 + ... + 75677141.

Almost surely, 234054612425 is an apocalyptic number.

It is an amenable number.

34054612425 is a deficient number, since it is larger than the sum of its proper divisors (26940982677).

34054612425 is a wasteful number, since it uses less digits than its factorization.

34054612425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151353849 (or 151353841 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

The spelling of 34054612425 in words is "thirty-four billion, fifty-four million, six hundred twelve thousand, four hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 225 151353833 454061499 756769165 1362184497 2270307495 3783845825 6810922485 11351537475 34054612425