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56435215654216 = 2372962914951437
BaseRepresentation
bin11001101010011110110001…
…11110110101110101001000
321101211011011012201202221101
430311033120332311311020
524344113310201413331
6320005551414151144
714613211153103200
oct1465173076656510
9241734135652841
1056435215654216
1116a89049a790a3
1263b56336524b4
132564a831c0409
14dd169c5a1400
1567d021e6e061
hex3353d8fb5d48

56435215654216 has 48 divisors (see below), whose sum is σ = 123104907488700. Its totient is φ = 24184007535744.

The previous prime is 56435215654171. The next prime is 56435215654217. The reversal of 56435215654216 is 61245651253465.

It can be written as a sum of positive squares in 2 ways, for example, as 40284028180900 + 16151187473316 = 6346970^2 + 4018854^2 .

It is not an unprimeable number, because it can be changed into a prime (56435215654217) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3701151 + ... + 11250286.

Almost surely, 256435215654216 is an apocalyptic number.

56435215654216 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

56435215654216 is an abundant number, since it is smaller than the sum of its proper divisors (66669691834484).

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

56435215654216 is a wasteful number, since it uses less digits than its factorization.

56435215654216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14961086 (or 14961075 counting only the distinct ones).

The product of its digits is 25920000, while the sum is 55.

The spelling of 56435215654216 in words is "fifty-six trillion, four hundred thirty-five billion, two hundred fifteen million, six hundred fifty-four thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 14 28 49 56 98 196 392 9629 19258 38516 67403 77032 134806 269612 471821 539224 943642 1887284 3774568 14951437 29902874 59805748 104660059 119611496 209320118 418640236 732620413 837280472 1465240826 2930481652 5860963304 143967386873 287934773746 575869547492 1007771708111 1151739094984 2015543416222 4031086832444 7054401956777 8062173664888 14108803913554 28217607827108 56435215654216