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34662992401 = 178677234989
BaseRepresentation
bin100000010010000100…
…110100101000010001
310022110201112110102101
4200102010310220101
51031442211224101
623531324120401
72334660400612
oct402204645021
9108421473371
1034662992401
11137783a0264
126874696101
1333654693bb
14196b861c09
15d7d1b1401
hex812134a11

34662992401 has 8 divisors (see below), whose sum is σ = 36706377960. Its totient is φ = 32620094208.

The previous prime is 34662992383. The next prime is 34662992407. The reversal of 34662992401 is 10429926643.

It is a Cunningham number, because it is equal to 1861802+1.

It can be written as a sum of positive squares in 4 ways, for example, as 9096581376 + 25566411025 = 95376^2 + 159895^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 34662992401 - 211 = 34662990353 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34662992407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 30015 + ... + 265003.

It is an arithmetic number, because the mean of its divisors is an integer number (4588297245).

Almost surely, 234662992401 is an apocalyptic number.

It is an amenable number.

34662992401 is a deficient number, since it is larger than the sum of its proper divisors (2043385559).

34662992401 is a wasteful number, since it uses less digits than its factorization.

34662992401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 243683.

The product of its (nonzero) digits is 559872, while the sum is 46.

The spelling of 34662992401 in words is "thirty-four billion, six hundred sixty-two million, nine hundred ninety-two thousand, four hundred one".

Divisors: 1 17 8677 147509 234989 3994813 2038999553 34662992401