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16456312416 = 253502334127
BaseRepresentation
bin11110101001101111…
…10110011001100000
31120110212110021202110
433110313312121200
5232200303444131
611320535515320
71121542230135
oct172467663140
946425407673
1016456312416
116a851830a5
123233228b40
13172348318b
14b217d458c
15664ace646
hex3d4df6660

16456312416 has 48 divisors (see below), whose sum is σ = 43207686144. Its totient is φ = 5484184704.

The previous prime is 16456312399. The next prime is 16456312417. The reversal of 16456312416 is 61421365461.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16456312417) 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 7 ways as a sum of consecutive naturals, for example, 465145 + ... + 499271.

It is an arithmetic number, because the mean of its divisors is an integer number (900160128).

Almost surely, 216456312416 is an apocalyptic number.

16456312416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16456312416 is an abundant number, since it is smaller than the sum of its proper divisors (26751373728).

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

16456312416 is a wasteful number, since it uses less digits than its factorization.

16456312416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39163 (or 39155 counting only the distinct ones).

The product of its digits is 103680, while the sum is 39.

Adding to 16456312416 its reverse (61421365461), we get a palindrome (77877677877).

The spelling of 16456312416 in words is "sixteen billion, four hundred fifty-six million, three hundred twelve thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 5023 10046 15069 20092 30138 34127 40184 60276 68254 80368 102381 120552 136508 160736 204762 241104 273016 409524 482208 546032 819048 1092064 1638096 3276192 171419921 342839842 514259763 685679684 1028519526 1371359368 2057039052 2742718736 4114078104 5485437472 8228156208 16456312416