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34644044643 = 31321721012341
BaseRepresentation
bin100000010000111100…
…100010101101100011
310022102101212210222120
4200100330202231203
51031422333412033
623525410035323
72334340343415
oct402074425543
9108371783876
1034644044643
111376872955a
12686a278b43
133361563c00
14196912c9b5
15d7b6bc1b3
hex810f22b63

34644044643 has 72 divisors (see below), whose sum is σ = 53682968016. Its totient is φ = 19858176000.

The previous prime is 34644044629. The next prime is 34644044693.

34644044643 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34644044643 - 24 = 34644044627 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34644044595 and 34644044604.

It is not an unprimeable number, because it can be changed into a prime (34644044693) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 14797653 + ... + 14799993.

It is an arithmetic number, because the mean of its divisors is an integer number (745596778).

Almost surely, 234644044643 is an apocalyptic number.

34644044643 is a deficient number, since it is larger than the sum of its proper divisors (19038923373).

34644044643 is a wasteful number, since it uses less digits than its factorization.

34644044643 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2505 (or 2475 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 42.

The spelling of 34644044643 in words is "thirty-four billion, six hundred forty-four million, forty-four thousand, six hundred forty-three".

Divisors: 1 3 13 17 39 51 101 169 221 289 303 507 663 867 1313 1717 2341 2873 3757 3939 5151 7023 8619 11271 17069 22321 29189 30433 39797 48841 51207 66963 87567 91299 119391 146523 236441 290173 379457 395629 517361 676549 709323 870519 1138371 1186887 1552083 2029647 3073733 4019497 4932941 6725693 8795137 9221199 12058491 14798823 20177079 26385411 39958529 52253461 68331449 114336781 119875587 156760383 204994347 343010343 679294993 888308837 2037884979 2664926511 11548014881 34644044643