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5626416312 = 2332117104061
BaseRepresentation
bin1010011110101110…
…00100110010111000
3112112010002120012100
411033113010302320
543010330310222
62330145343400
7256266515046
oct51727046270
915463076170
105626416312
112427a68940
121110337b60
136b887622a
143b5363396
1522de414ac
hex14f5c4cb8

5626416312 has 48 divisors (see below), whose sum is σ = 16623505080. Its totient is φ = 1704974400.

The previous prime is 5626416293. The next prime is 5626416319. The reversal of 5626416312 is 2136146265.

5626416312 is a `hidden beast` number, since 5 + 6 + 2 + 641 + 6 + 3 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5626416319) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 3551239 + ... + 3552822.

Almost surely, 25626416312 is an apocalyptic number.

It is an amenable number.

5626416312 is an abundant number, since it is smaller than the sum of its proper divisors (10997088768).

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

5626416312 is a wasteful number, since it uses less digits than its factorization.

5626416312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7104084 (or 7104077 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The square root of 5626416312 is about 75009.4414857223. The cubic root of 5626416312 is about 1778.5959040352.

The spelling of 5626416312 in words is "five billion, six hundred twenty-six million, four hundred sixteen thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 33 36 44 66 72 88 99 132 198 264 396 792 7104061 14208122 21312183 28416244 42624366 56832488 63936549 78144671 85248732 127873098 156289342 170497464 234434013 255746196 312578684 468868026 511492392 625157368 703302039 937736052 1406604078 1875472104 2813208156 5626416312