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34401556561 = 311109727631
BaseRepresentation
bin100000000010011111…
…100001100001010001
310021210111121010212111
4200002133201201101
51030423244302221
623445344425321
72325334256161
oct400237414121
9107714533774
1034401556561
1113653866689
126801018241
133323251738
141944c4a5a1
15d6526dbe1
hex8027e1851

34401556561 has 4 divisors (see below), whose sum is σ = 35511284224. Its totient is φ = 33291828900.

The previous prime is 34401556549. The next prime is 34401556577. The reversal of 34401556561 is 16565510443.

It is a happy number.

It is a semiprime because it is the product of two primes, and also a Blum integer, because the two primes are equal to 3 mod 4, and also an emirpimes, since its reverse is a distinct semiprime: 16565510443 = 47352457669.

It is a cyclic number.

It is not a de Polignac number, because 34401556561 - 25 = 34401556529 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34401559561) 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 3 ways as a sum of consecutive naturals, for example, 554863785 + ... + 554863846.

It is an arithmetic number, because the mean of its divisors is an integer number (8877821056).

Almost surely, 234401556561 is an apocalyptic number.

34401556561 is a gapful number since it is divisible by the number (31) formed by its first and last digit.

It is an amenable number.

34401556561 is a deficient number, since it is larger than the sum of its proper divisors (1109727663).

34401556561 is a wasteful number, since it uses less digits than its factorization.

34401556561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109727662.

The product of its (nonzero) digits is 216000, while the sum is 40.

It can be divided in two parts, 3440 and 1556561, that added together give a square (1560001 = 12492).

The spelling of 34401556561 in words is "thirty-four billion, four hundred one million, five hundred fifty-six thousand, five hundred sixty-one".

Divisors: 1 31 1109727631 34401556561