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6056241984 = 263213808793
BaseRepresentation
bin1011010001111101…
…01110101101000000
3120122001212222011200
411220332232231000
544400344220414
62440542141200
7303036131112
oct55076565500
916561788150
106056241984
112628655271
121210281800
1375692b350
1441648d3b2
15256a47109
hex168faeb40

6056241984 has 84 divisors (see below), whose sum is σ = 18694464516. Its totient is φ = 1863456768.

The previous prime is 6056241973. The next prime is 6056242037. The reversal of 6056241984 is 4891426506.

6056241984 is a `hidden beast` number, since 6 + 0 + 5 + 624 + 19 + 8 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 413227584 + 5643014400 = 20328^2 + 75120^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 396909 + ... + 411884.

It is an arithmetic number, because the mean of its divisors is an integer number (222553149).

Almost surely, 26056241984 is an apocalyptic number.

6056241984 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

It is an amenable number.

6056241984 is an abundant number, since it is smaller than the sum of its proper divisors (12638222532).

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

6056241984 is a wasteful number, since it uses less digits than its factorization.

6056241984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 808824 (or 808811 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 6056241984 is about 77821.8605791458. The cubic root of 6056241984 is about 1822.7806370100.

The spelling of 6056241984 in words is "six billion, fifty-six million, two hundred forty-one thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 808793 1617586 2426379 3235172 4852758 6470344 7279137 9705516 10514309 12940688 14558274 19411032 21028618 25881376 29116548 31542927 38822064 42057236 51762752 58233096 63085854 77644128 84114472 94628781 116466192 126171708 155288256 168228944 189257562 232932384 252343416 336457888 378515124 465864768 504686832 672915776 757030248 1009373664 1514060496 2018747328 3028120992 6056241984