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5028672672 = 25336786869
BaseRepresentation
bin1001010111011101…
…10111010010100000
3110222110100001002000
410223232313102200
540244320011142
62150553524000
7235421004162
oct45356672240
913873301060
105028672672
112150611231
12b84113600
13621a8a67a
14359c06932
151e671c14c
hex12bbb74a0

5028672672 has 96 divisors (see below), whose sum is σ = 14886043200. Its totient is φ = 1651186944.

The previous prime is 5028672667. The next prime is 5028672751. The reversal of 5028672672 is 2762768205.

5028672672 is a `hidden beast` number, since 502 + 8 + 6 + 72 + 6 + 72 = 666.

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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 14454 + ... + 101322.

It is an arithmetic number, because the mean of its divisors is an integer number (155062950).

Almost surely, 25028672672 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 5028672672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443021600).

5028672672 is an abundant number, since it is smaller than the sum of its proper divisors (9857370528).

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

5028672672 is a wasteful number, since it uses less digits than its factorization.

5028672672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86955 (or 86941 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The square root of 5028672672 is about 70913.1346930877. The cubic root of 5028672672 is about 1713.2383570958.

The spelling of 5028672672 in words is "five billion, twenty-eight million, six hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 67 72 96 108 134 144 201 216 268 288 402 432 536 603 804 864 1072 1206 1608 1809 2144 2412 3216 3618 4824 6432 7236 9648 14472 19296 28944 57888 86869 173738 260607 347476 521214 694952 781821 1042428 1389904 1563642 2084856 2345463 2779808 3127284 4169712 4690926 5820223 6254568 8339424 9381852 11640446 12509136 17460669 18763704 23280892 25018272 34921338 37527408 46561784 52382007 69842676 75054816 93123568 104764014 139685352 157146021 186247136 209528028 279370704 314292042 419056056 558741408 628584084 838112112 1257168168 1676224224 2514336336 5028672672