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4745011760 = 245796771109
BaseRepresentation
bin1000110101101001…
…10010001000110000
3110020200120120110022
410122310302020300
534204210334020
62102502023012
7225404635346
oct43264621060
913220516408
104745011760
112015487625
12b05117a68
135a8090888
14330287996
151cb889625
hex11ad32230

4745011760 has 80 divisors (see below), whose sum is σ = 11198390400. Its totient is φ = 1869523968.

The previous prime is 4745011751. The next prime is 4745011787. The reversal of 4745011760 is 671105474.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 4745011760.

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 15 ways as a sum of consecutive naturals, for example, 4278086 + ... + 4279194.

It is an arithmetic number, because the mean of its divisors is an integer number (139979880).

Almost surely, 24745011760 is an apocalyptic number.

4745011760 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4745011760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5599195200).

4745011760 is an abundant number, since it is smaller than the sum of its proper divisors (6453378640).

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

4745011760 is a wasteful number, since it uses less digits than its factorization.

4745011760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878 (or 1872 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 35.

The square root of 4745011760 is about 68884.0457580709. The cubic root of 4745011760 is about 1680.3990643075.

The spelling of 4745011760 in words is "four billion, seven hundred forty-five million, eleven thousand, seven hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 79 80 158 316 395 632 677 790 1109 1264 1354 1580 2218 2708 3160 3385 4436 5416 5545 6320 6770 8872 10832 11090 13540 17744 22180 27080 44360 53483 54160 87611 88720 106966 175222 213932 267415 350444 427864 438055 534830 700888 750793 855728 876110 1069660 1401776 1501586 1752220 2139320 3003172 3504440 3753965 4278640 6006344 7008880 7507930 12012688 15015860 30031720 59312647 60063440 118625294 237250588 296563235 474501176 593126470 949002352 1186252940 2372505880 4745011760