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34320506636401 = 1713611483360273
BaseRepresentation
bin1111100110110110111011…
…00110110100100001110001
311111112000020010011112220021
413303123131212310201301
513444301344144331101
6200554342330443441
710141401102015646
oct763333546644161
9144460203145807
1034320506636401
11aa32277298407
123a23664293581
13161c5436aab5b
1486919b115dcd
153e7b4d8d85a1
hex1f36dd9b4871

34320506636401 has 8 divisors (see below), whose sum is σ = 36366060477384. Its totient is φ = 32277919518720.

The previous prime is 34320506636359. The next prime is 34320506636419. The reversal of 34320506636401 is 10463660502343.

It can be written as a sum of positive squares in 4 ways, for example, as 15419750386401 + 18900756250000 = 3926799^2 + 4347500^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 34320506636401 - 211 = 34320506634353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34320506636701) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 741657000 + ... + 741703273.

It is an arithmetic number, because the mean of its divisors is an integer number (4545757559673).

Almost surely, 234320506636401 is an apocalyptic number.

It is an amenable number.

34320506636401 is a deficient number, since it is larger than the sum of its proper divisors (2045553840983).

34320506636401 is a wasteful number, since it uses less digits than its factorization.

34320506636401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483361651.

The product of its (nonzero) digits is 933120, while the sum is 43.

The spelling of 34320506636401 in words is "thirty-four trillion, three hundred twenty billion, five hundred six million, six hundred thirty-six thousand, four hundred one".

Divisors: 1 17 1361 23137 1483360273 25217124641 2018853331553 34320506636401