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16506423564 = 22317307449587
BaseRepresentation
bin11110101111101110…
…00000100100001100
31120121100202012022220
433113313000210030
5232301121023224
611325525535340
71123021166601
oct172767004414
946540665286
1016506423564
11700049a374
123247b74550
13173097a047
14b2831a6a8
156691cc279
hex3d7dc090c

16506423564 has 96 divisors (see below), whose sum is σ = 41074387200. Its totient is φ = 5141348352.

The previous prime is 16506423541. The next prime is 16506423589. The reversal of 16506423564 is 46532460561.

16506423564 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 28119679 + ... + 28120265.

It is an arithmetic number, because the mean of its divisors is an integer number (427858200).

Almost surely, 216506423564 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16506423564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20537193600).

16506423564 is an abundant number, since it is smaller than the sum of its proper divisors (24567963636).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

16506423564 is a wasteful number, since it uses less digits than its factorization.

16506423564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367 (or 1365 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 42.

The spelling of 16506423564 in words is "sixteen billion, five hundred six million, four hundred twenty-three thousand, five hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 34 51 68 102 204 307 449 587 614 898 921 1174 1228 1347 1761 1796 1842 2348 2694 3522 3684 5219 5388 7044 7633 9979 10438 15266 15657 19958 20876 22899 29937 30532 31314 39916 45798 59874 62628 91596 119748 137843 180209 263563 275686 360418 413529 527126 540627 551372 720836 790689 827058 1054252 1081254 1581378 1654116 2162508 2343331 3063553 3162756 4480571 4686662 6127106 7029993 8961142 9190659 9373324 12254212 13441713 14059986 17922284 18381318 26883426 28119972 36762636 53766852 80913841 161827682 242741523 323655364 485483046 970966092 1375535297 2751070594 4126605891 5502141188 8253211782 16506423564