Search a number
-
+
5630464128 = 27325158417
BaseRepresentation
bin1010011111001101…
…00001000010000000
3112112101201012202110
411033212201002000
543012344323003
62330412215320
7256346104212
oct51746410200
915471635673
105630464128
11242a283043
12111176a540
136b96627a3
143b5ad85b2
1522e490a03
hex14f9a1080

5630464128 has 64 divisors (see below), whose sum is σ = 15015762720. Its totient is φ = 1869312000.

The previous prime is 5630464109. The next prime is 5630464181. The reversal of 5630464128 is 8214640365.

It is a tau number, because it is divible by the number of its divisors (64).

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, 67176 + ... + 125592.

Almost surely, 25630464128 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 5630464128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7507881360).

5630464128 is an abundant number, since it is smaller than the sum of its proper divisors (9385298592).

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

5630464128 is a wasteful number, since it uses less digits than its factorization.

5630464128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58685 (or 58673 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

The square root of 5630464128 is about 75036.4186778660. The cubic root of 5630464128 is about 1779.0223272238.

The spelling of 5630464128 in words is "five billion, six hundred thirty million, four hundred sixty-four thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 251 384 502 753 1004 1506 2008 3012 4016 6024 8032 12048 16064 24096 32128 48192 58417 96384 116834 175251 233668 350502 467336 701004 934672 1402008 1869344 2804016 3738688 5608032 7477376 11216064 14662667 22432128 29325334 43988001 58650668 87976002 117301336 175952004 234602672 351904008 469205344 703808016 938410688 1407616032 1876821376 2815232064 5630464128