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4845739680 = 253351121699
BaseRepresentation
bin1001000001101010…
…00001111010100000
3110111201010002012000
410200311001322200
534411002132210
62120501004000
7231040051635
oct44065017240
913451102160
104845739680
112067325a41
12b329b3600
135c2bca7b2
1433d7c818c
151d5634ac0
hex120d41ea0

4845739680 has 96 divisors (see below), whose sum is σ = 16960104000. Its totient is φ = 1292196096.

The previous prime is 4845739667. The next prime is 4845739681. The reversal of 4845739680 is 869375484.

4845739680 is a `hidden beast` number, since 4 + 8 + 4 + 573 + 9 + 68 + 0 = 666.

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

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (4845739681) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 556530 + ... + 565169.

It is an arithmetic number, because the mean of its divisors is an integer number (176667750).

Almost surely, 24845739680 is an apocalyptic number.

4845739680 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

4845739680 is an abundant number, since it is smaller than the sum of its proper divisors (12114364320).

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

4845739680 is a wasteful number, since it uses less digits than its factorization.

4845739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121723 (or 1121709 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The square root of 4845739680 is about 69611.3473508450. The cubic root of 4845739680 is about 1692.2065036424.

The spelling of 4845739680 in words is "four billion, eight hundred forty-five million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 72 80 90 96 108 120 135 144 160 180 216 240 270 288 360 432 480 540 720 864 1080 1440 2160 4320 1121699 2243398 3365097 4486796 5608495 6730194 8973592 10095291 11216990 13460388 16825485 17947184 20190582 22433980 26920776 30285873 33650970 35894368 40381164 44867960 50476455 53841552 60571746 67301940 80762328 89735920 100952910 107683104 121143492 134603880 151429365 161524656 179471840 201905820 242286984 269207760 302858730 323049312 403811640 484573968 538415520 605717460 807623280 969147936 1211434920 1615246560 2422869840 4845739680