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3530130048 = 273217317713
BaseRepresentation
bin1101001001101001…
…1000001010000000
3100010000120012001100
43102122120022000
524212203130143
61342142534400
7153323416224
oct32232301200
910100505040
103530130048
111551736a55
12826297400
13443488863
14256ba2784
15159dae6d3
hexd2698280

3530130048 has 96 divisors (see below), whose sum is σ = 10217612340. Its totient is φ = 1169842176.

The previous prime is 3530130029. The next prime is 3530130059. The reversal of 3530130048 is 8400310353.

It is a happy number.

3530130048 is a `hidden beast` number, since 353 + 0 + 1 + 300 + 4 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2704832064 + 825297984 = 52008^2 + 28728^2 .

It is a tau number, because it is divible by the number of its divisors (96).

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 11 ways as a sum of consecutive naturals, for example, 190440 + ... + 208152.

Almost surely, 23530130048 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 3530130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5108806170).

3530130048 is an abundant number, since it is smaller than the sum of its proper divisors (6687482292).

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

3530130048 is a wasteful number, since it uses less digits than its factorization.

3530130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17906 (or 17891 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 3530130048 is about 59414.8975257889. The cubic root of 3530130048 is about 1522.6388325759.

The spelling of 3530130048 in words is "three billion, five hundred thirty million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 173 192 288 346 384 519 576 692 1038 1152 1384 1557 2076 2768 3114 4152 5536 6228 8304 11072 12456 16608 17713 22144 24912 33216 35426 49824 53139 66432 70852 99648 106278 141704 159417 199296 212556 283408 318834 425112 566816 637668 850224 1133632 1275336 1700448 2267264 2550672 3064349 3400896 5101344 6128698 6801792 9193047 10202688 12257396 18386094 20405376 24514792 27579141 36772188 49029584 55158282 73544376 98059168 110316564 147088752 196118336 220633128 294177504 392236672 441266256 588355008 882532512 1176710016 1765065024 3530130048