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34454426643 = 32713217190357
BaseRepresentation
bin100000000101101001…
…001101010000010011
310021221012002012222200
4200011221031100103
51031030313123033
623454513534243
72326545536310
oct400551152023
9107835065880
1034454426643
111368069776a
126816874383
1333311a3300
14194bc8dd07
15d69c14013
hex805a4d413

34454426643 has 72 divisors (see below), whose sum is σ = 65212082208. Its totient is φ = 17104628736.

The previous prime is 34454426639. The next prime is 34454426653. The reversal of 34454426643 is 34662445443.

34454426643 is a `hidden beast` number, since 3 + 4 + 4 + 544 + 2 + 66 + 43 = 666.

It is not a de Polignac number, because 34454426643 - 22 = 34454426639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (34454426623) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85821 + ... + 276177.

It is an arithmetic number, because the mean of its divisors is an integer number (905723364).

Almost surely, 234454426643 is an apocalyptic number.

34454426643 is a deficient number, since it is larger than the sum of its proper divisors (30757655565).

34454426643 is a wasteful number, since it uses less digits than its factorization.

34454426643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190413 (or 190397 counting only the distinct ones).

The product of its digits is 3317760, while the sum is 45.

The spelling of 34454426643 in words is "thirty-four billion, four hundred fifty-four million, four hundred twenty-six thousand, six hundred forty-three".

Divisors: 1 3 7 9 13 17 21 39 51 63 91 117 119 153 169 221 273 357 507 663 819 1071 1183 1521 1547 1989 2873 3549 4641 8619 10647 13923 20111 25857 60333 180999 190357 571071 1332499 1713213 2474641 3236069 3997497 7423923 9708207 11992491 17322487 22271769 22652483 29124621 32170333 42068897 51967461 67957449 96510999 126206691 155902383 203872347 225192331 289532997 294482279 378620073 546895661 675576993 883446837 1640686983 2026730979 2650340511 3828269627 4922060949 11484808881 34454426643