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4968586080 = 253253450407
BaseRepresentation
bin1001010000010011…
…01001101101100000
3110211021021022202200
410220021221231200
540133424223310
62141010013200
7234061166463
oct45011515540
913737238680
104968586080
11211a701297
12b67b77200
136124b0183
14351c452da
151e12ed9c0
hex128269b60

4968586080 has 72 divisors (see below), whose sum is σ = 16955304912. Its totient is φ = 1324955904.

The previous prime is 4968586069. The next prime is 4968586099. The reversal of 4968586080 is 806858694.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1723764 + ... + 1726643.

It is an arithmetic number, because the mean of its divisors is an integer number (235490346).

Almost surely, 24968586080 is an apocalyptic number.

4968586080 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4968586080 is an abundant number, since it is smaller than the sum of its proper divisors (11986718832).

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

4968586080 is a wasteful number, since it uses less digits than its factorization.

4968586080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3450428 (or 3450417 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The square root of 4968586080 is about 70488.1981611106. The cubic root of 4968586080 is about 1706.3872840471.

The spelling of 4968586080 in words is "four billion, nine hundred sixty-eight million, five hundred eighty-six thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 72 80 90 96 120 144 160 180 240 288 360 480 720 1440 3450407 6900814 10351221 13801628 17252035 20702442 27603256 31053663 34504070 41404884 51756105 55206512 62107326 69008140 82809768 103512210 110413024 124214652 138016280 155268315 165619536 207024420 248429304 276032560 310536630 331239072 414048840 496858608 552065120 621073260 828097680 993717216 1242146520 1656195360 2484293040 4968586080