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2530648064 = 213744131
BaseRepresentation
bin1001011011010110…
…1010000000000000
320112100212020112002
42112311222000000
520140321214224
61055040323132
7116466103460
oct22665520000
96470766462
102530648064
11108953738a
125a76134a8
133143a03b9
141a014bba0
15ec2819ae
hex96d6a000

2530648064 has 56 divisors (see below), whose sum is σ = 5784116448. Its totient is φ = 1084538880.

The previous prime is 2530648037. The next prime is 2530648073. The reversal of 2530648064 is 4608460352.

It is a tau number, because it is divible by the number of its divisors (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 35279 + ... + 79409.

Almost surely, 22530648064 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 2530648064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2892058224).

2530648064 is an abundant number, since it is smaller than the sum of its proper divisors (3253468384).

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

2530648064 is an frugal number, since it uses more digits than its factorization.

2530648064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44164 (or 44140 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The square root of 2530648064 is about 50305.5470500023. The cubic root of 2530648064 is about 1362.7324073881.

The spelling of 2530648064 in words is "two billion, five hundred thirty million, six hundred forty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 512 896 1024 1792 2048 3584 4096 7168 8192 14336 28672 44131 57344 88262 176524 308917 353048 617834 706096 1235668 1412192 2471336 2824384 4942672 5648768 9885344 11297536 19770688 22595072 39541376 45190144 79082752 90380288 158165504 180760576 316331008 361521152 632662016 1265324032 2530648064