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8420631696 = 243425492
BaseRepresentation
bin1111101011110100…
…01010010010010000
3210201211220102010000
413311322022102100
5114221140203241
63511323210000
7415446121431
oct76572122220
923654812100
108420631696
113631255254
121770076900
13a42729509
1459c4bd488
153443d6eb6
hex1f5e8a490

8420631696 has 75 divisors (see below), whose sum is σ = 24381316201. Its totient is φ = 2805776064.

The previous prime is 8420631673. The next prime is 8420631697. The reversal of 8420631696 is 6961360248.

The square root of 8420631696 is 91764.

It is a perfect power (a square), and thus also a powerful number.

8420631696 is a `hidden beast` number, since 8 + 4 + 2 + 0 + 631 + 6 + 9 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7785591696 + 635040000 = 88236^2 + 25200^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8420631697) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 3302230 + ... + 3304778.

Almost surely, 28420631696 is an apocalyptic number.

8420631696 is the 91764-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8420631696

8420631696 is an abundant number, since it is smaller than the sum of its proper divisors (15960684505).

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

8420631696 is an frugal number, since it uses more digits than its factorization.

8420631696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5118 (or 2554 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The cubic root of 8420631696 is about 2034.4556370849.

The spelling of 8420631696 in words is "eight billion, four hundred twenty million, six hundred thirty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 2549 5098 7647 10196 15294 20392 22941 30588 40784 45882 61176 68823 91764 122352 137646 183528 206469 275292 367056 412938 550584 825876 1101168 1651752 3303504 6497401 12994802 19492203 25989604 38984406 51979208 58476609 77968812 103958416 116953218 155937624 175429827 233906436 311875248 350859654 467812872 526289481 701719308 935625744 1052578962 1403438616 2105157924 2806877232 4210315848 8420631696