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61428082416 = 2432355641379
BaseRepresentation
bin111001001101011001…
…100010011011110000
312212120000202220112120
4321031121202123300
52001301042114131
644115240554240
74303150041201
oct711531423360
9185500686476
1061428082416
1124062607568
12baa4182980
135a3c58bb7c
142d8a3d55a8
1518e7ce3496
hexe4d6626f0

61428082416 has 40 divisors (see below), whose sum is σ = 165588746880. Its totient is φ = 19585765056.

The previous prime is 61428082381. The next prime is 61428082477.

61428082416 is nontrivially palindromic in base 10.

61428082416 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 polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27819586 + ... + 27821793.

It is an arithmetic number, because the mean of its divisors is an integer number (4139718672).

Almost surely, 261428082416 is an apocalyptic number.

It is an amenable number.

61428082416 is an abundant number, since it is smaller than the sum of its proper divisors (104160664464).

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

61428082416 is a wasteful number, since it uses less digits than its factorization.

61428082416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55641413 (or 55641407 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 42.

It can be divided in two parts, 614280 and 82416, that added together give a palindrome (696696).

The spelling of 61428082416 in words is "sixty-one billion, four hundred twenty-eight million, eighty-two thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 55641379 111282758 166924137 222565516 333848274 445131032 667696548 890262064 1279751717 1335393096 2559503434 2670786192 3839255151 5119006868 7678510302 10238013736 15357020604 20476027472 30714041208 61428082416