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34638740643 = 3131767978039
BaseRepresentation
bin100000010000101000…
…010011110010100011
310022102000220100021010
4200100220103302203
51031420004200033
623525100232003
72334244303023
oct402050236243
9108360810233
1034638740643
1113765736591
12686853b603
133360427950
14196854ba83
15d7aec0863
hex810a13ca3

34638740643 has 64 divisors (see below), whose sum is σ = 54007188480. Its totient is φ = 19556646912.

The previous prime is 34638740569. The next prime is 34638740663. The reversal of 34638740643 is 34604783643.

It is not a de Polignac number, because 34638740643 - 29 = 34638740131 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34638740592 and 34638740601.

It is not an unprimeable number, because it can be changed into a prime (34638740663) 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 63 ways as a sum of consecutive naturals, for example, 4304818 + ... + 4312856.

It is an arithmetic number, because the mean of its divisors is an integer number (843862320).

Almost surely, 234638740643 is an apocalyptic number.

34638740643 is a deficient number, since it is larger than the sum of its proper divisors (19368447837).

34638740643 is a wasteful number, since it uses less digits than its factorization.

34638740643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8236.

The product of its (nonzero) digits is 3483648, while the sum is 48.

The spelling of 34638740643 in words is "thirty-four billion, six hundred thirty-eight million, seven hundred forty thousand, six hundred forty-three".

Divisors: 1 3 13 17 39 51 67 97 201 221 291 663 871 1139 1261 1649 2613 3417 3783 4947 6499 8039 14807 19497 21437 24117 44421 64311 84487 104507 110483 136663 253461 313521 331449 409989 538613 779783 1436279 1615839 1776619 2339349 4308837 5329857 7001969 9156421 10137179 13256311 21005907 27469263 30411537 39768933 52245461 119033473 156736383 172332043 357100419 516996129 679190993 888172837 2037572979 2664518511 11546246881 34638740643