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34054432425 = 3352133880847
BaseRepresentation
bin11111101101110011…
…010110011010101001
310020220022102102002000
4133231303112122221
51024220413314200
623351104401213
72313620620356
oct375563263251
9106808372060
1034054432425
1113495926132
126724916209
133299364540
141910acb62d
15d44a52300
hex7edcd66a9

34054432425 has 48 divisors (see below), whose sum is σ = 67371521280. Its totient is φ = 16765254720.

The previous prime is 34054432409. The next prime is 34054432427. The reversal of 34054432425 is 52423445043.

34054432425 is a `hidden beast` number, since 3 + 40 + 544 + 32 + 42 + 5 = 666.

It is not a de Polignac number, because 34054432425 - 24 = 34054432409 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 34054432425.

It is not an unprimeable number, because it can be changed into a prime (34054432427) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1931649 + ... + 1949198.

It is an arithmetic number, because the mean of its divisors is an integer number (1403573360).

Almost surely, 234054432425 is an apocalyptic number.

It is an amenable number.

34054432425 is a deficient number, since it is larger than the sum of its proper divisors (33317088855).

34054432425 is a wasteful number, since it uses less digits than its factorization.

34054432425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3880879 (or 3880868 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 36.

Adding to 34054432425 its reverse (52423445043), we get a palindrome (86477877468).

The spelling of 34054432425 in words is "thirty-four billion, fifty-four million, four hundred thirty-two thousand, four hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 117 135 195 225 325 351 585 675 975 1755 2925 8775 3880847 11642541 19404235 34927623 50451011 58212705 97021175 104782869 151353033 174638115 252255055 291063525 454059099 523914345 756765165 873190575 1261275275 1362177297 2270295495 2619571725 3783825825 6810886485 11351477475 34054432425