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34438465523 = 7211194771549
BaseRepresentation
bin100000000100101100…
…010100011111110011
310021220002001022110002
4200010230110133303
51031012221344043
623453143500215
72326263061400
oct400454243763
9107802038402
1034438465523
1113672685960
12681145766b
13332aaa5367
141949ad72a7
15d6860ebb8
hex804b147f3

34438465523 has 48 divisors (see below), whose sum is σ = 46982592000. Its totient is φ = 24881532480.

The previous prime is 34438465483. The next prime is 34438465571. The reversal of 34438465523 is 32556483443.

It is not a de Polignac number, because 34438465523 - 28 = 34438465267 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is not an unprimeable number, because it can be changed into a prime (34438465573) 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, 445553 + ... + 517101.

It is an arithmetic number, because the mean of its divisors is an integer number (978804000).

Almost surely, 234438465523 is an apocalyptic number.

34438465523 is a deficient number, since it is larger than the sum of its proper divisors (12544126477).

34438465523 is a wasteful number, since it uses less digits than its factorization.

34438465523 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 71640 (or 71633 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 47.

The spelling of 34438465523 in words is "thirty-four billion, four hundred thirty-eight million, four hundred sixty-five thousand, five hundred twenty-three".

Divisors: 1 7 11 19 47 49 77 133 209 329 517 539 893 931 1463 2303 3619 6251 9823 10241 25333 43757 68761 71549 481327 500843 787039 1359431 3362803 3505901 5509273 9516017 14953741 23539621 36990833 38564911 63893257 66612119 104676187 164777347 258935831 447252799 702825827 732733309 1812550817 3130769593 4919780789 34438465523