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83263240128 = 2631275236529
BaseRepresentation
bin100110110001011100…
…0000011011111000000
321221220202110211220110
41031202320003133000
52331010342141003
6102130044111320
76005224602135
oct1154270033700
9257822424813
1083263240128
1132347a23752
1214178835540
137b0c216333
14405c30658c
152274c0ea03
hex1362e037c0

83263240128 has 112 divisors (see below), whose sum is σ = 222493921280. Its totient is φ = 27479015424.

The previous prime is 83263240097. The next prime is 83263240153. The reversal of 83263240128 is 82104236238.

It is a super-2 number, since 2×832632401282 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12749568 + ... + 12756096.

Almost surely, 283263240128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83263240128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (111246960640).

83263240128 is an abundant number, since it is smaller than the sum of its proper divisors (139230681152).

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

83263240128 is a wasteful number, since it uses less digits than its factorization.

83263240128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7194 (or 7184 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 39.

The spelling of 83263240128 in words is "eighty-three billion, two hundred sixty-three million, two hundred forty thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 127 192 254 381 508 523 762 1016 1046 1524 1569 2032 2092 3048 3138 4064 4184 6096 6276 6529 8128 8368 12192 12552 13058 16736 19587 24384 25104 26116 33472 39174 50208 52232 66421 78348 100416 104464 132842 156696 199263 208928 265684 313392 398526 417856 531368 626784 797052 829183 1062736 1253568 1594104 1658366 2125472 2487549 3188208 3316732 3414667 4250944 4975098 6376416 6633464 6829334 9950196 10244001 12752832 13266928 13658668 19900392 20488002 26533856 27317336 39800784 40976004 53067712 54634672 79601568 81952008 109269344 159203136 163904016 218538688 327808032 433662709 655616064 867325418 1300988127 1734650836 2601976254 3469301672 5203952508 6938603344 10407905016 13877206688 20815810032 27754413376 41631620064 83263240128