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16401010461 = 3112371221131
BaseRepresentation
bin11110100011001001…
…11000111100011101
31120100000101122201220
433101210320330131
5232042124313321
611311242323553
71120301201013
oct172144707435
946300348656
1016401010461
116a56a40a00
1232187b95b9
131714b8c724
14b1831a8b3
1565ed089c6
hex3d1938f1d

16401010461 has 24 divisors (see below), whose sum is σ = 24686404512. Its totient is φ = 9671349600.

The previous prime is 16401010447. The next prime is 16401010469.

16401010461 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 16401010461 - 25 = 16401010429 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16401010469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 597135 + ... + 623996.

It is an arithmetic number, because the mean of its divisors is an integer number (1028600188).

Almost surely, 216401010461 is an apocalyptic number.

16401010461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

16401010461 is a deficient number, since it is larger than the sum of its proper divisors (8285394051).

16401010461 is a wasteful number, since it uses less digits than its factorization.

16401010461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1221193 (or 1221182 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

It can be divided in two parts, 164010 and 10461, that added together give a palindrome (174471).

The spelling of 16401010461 in words is "sixteen billion, four hundred one million, ten thousand, four hundred sixty-one".

Divisors: 1 3 11 33 37 111 121 363 407 1221 4477 13431 1221131 3663393 13432441 40297323 45181847 135545541 147756851 443270553 497000317 1491000951 5467003487 16401010461