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16405217340 = 2235977279857
BaseRepresentation
bin11110100011101001…
…11100000000111100
31120100022022101111020
433101310330000330
5232044213423330
611311512424140
71120352021661
oct172164740074
946308271436
1016405217340
116a59354666
12321a0a8050
131715a034c5
14b18ad3a68
1566038a210
hex3d1d3c03c

16405217340 has 48 divisors (see below), whose sum is σ = 45981788832. Its totient is φ = 4370231296.

The previous prime is 16405217333. The next prime is 16405217401. The reversal of 16405217340 is 4371250461.

16405217340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 81309 + ... + 198548.

It is an arithmetic number, because the mean of its divisors is an integer number (957953934).

Almost surely, 216405217340 is an apocalyptic number.

16405217340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

16405217340 is an abundant number, since it is smaller than the sum of its proper divisors (29576571492).

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

16405217340 is a wasteful number, since it uses less digits than its factorization.

16405217340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280846 (or 280844 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 33.

The spelling of 16405217340 in words is "sixteen billion, four hundred five million, two hundred seventeen thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 977 1954 2931 3908 4885 5862 9770 11724 14655 19540 29310 58620 279857 559714 839571 1119428 1399285 1679142 2798570 3358284 4197855 5597140 8395710 16791420 273420289 546840578 820260867 1093681156 1367101445 1640521734 2734202890 3281043468 4101304335 5468405780 8202608670 16405217340