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16214536656 = 2432112600949
BaseRepresentation
bin11110001100111011…
…00011000111010000
31112212000111210202200
433012131203013100
5231201410133111
611240541443200
71112545200423
oct170635430720
945760453680
1016214536656
11697075741a
123186270500
1316b535ccb6
14adb6599ba
1564d772256
hex3c67631d0

16214536656 has 30 divisors (see below), whose sum is σ = 45378182850. Its totient is φ = 5404845504.

The previous prime is 16214536633. The next prime is 16214536669. The reversal of 16214536656 is 65663541261.

16214536656 is a `hidden beast` number, since 1 + 62 + 1 + 4 + 536 + 6 + 56 = 666.

16214536656 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 14420167056 + 1794369600 = 120084^2 + 42360^2 .

It is a super-2 number, since 2×162145366562 (a number of 21 digits) contains 22 as substring.

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 5 ways as a sum of consecutive naturals, for example, 56300331 + ... + 56300618.

It is an arithmetic number, because the mean of its divisors is an integer number (1512606095).

Almost surely, 216214536656 is an apocalyptic number.

16214536656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

16214536656 is an abundant number, since it is smaller than the sum of its proper divisors (29163646194).

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

16214536656 is a wasteful number, since it uses less digits than its factorization.

16214536656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112600963 (or 112600954 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The spelling of 16214536656 in words is "sixteen billion, two hundred fourteen million, five hundred thirty-six thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 112600949 225201898 337802847 450403796 675605694 900807592 1013408541 1351211388 1801615184 2026817082 2702422776 4053634164 5404845552 8107268328 16214536656