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4684520960 = 2957733581
BaseRepresentation
bin1000101110011100…
…00001111000000000
3110002110202022200022
410113032001320000
534043214132320
62052501313012
7224041525340
oct42716017000
913073668608
104684520960
111a94320a29
12aa8a05768
135986a13c2
1432621cd20
151c63db325
hex117381e00

4684520960 has 160 divisors (see below), whose sum is σ = 13015899072. Its totient is φ = 1583677440.

The previous prime is 4684520959. The next prime is 4684520977. The reversal of 4684520960 is 690254864.

It is a tau number, because it is divible by the number of its divisors (160).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1306370 + ... + 1309950.

Almost surely, 24684520960 is an apocalyptic number.

4684520960 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 4684520960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6507949536).

4684520960 is an abundant number, since it is smaller than the sum of its proper divisors (8331378112).

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

4684520960 is an equidigital number, since it uses as much as digits as its factorization.

4684520960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3684 (or 3668 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 4684520960 is about 68443.5603983311. The cubic root of 4684520960 is about 1673.2277636221.

The spelling of 4684520960 in words is "four billion, six hundred eighty-four million, five hundred twenty thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 73 80 112 128 140 146 160 224 256 280 292 320 365 448 511 512 560 584 640 730 896 1022 1120 1168 1280 1460 1792 2044 2240 2336 2555 2560 2920 3581 3584 4088 4480 4672 5110 5840 7162 8176 8960 9344 10220 11680 14324 16352 17905 17920 18688 20440 23360 25067 28648 32704 35810 37376 40880 46720 50134 57296 65408 71620 81760 93440 100268 114592 125335 130816 143240 163520 186880 200536 229184 250670 261413 261632 286480 327040 401072 458368 501340 522826 572960 654080 802144 916736 1002680 1045652 1145920 1307065 1308160 1604288 1829891 1833472 2005360 2091304 2291840 2614130 3208576 3659782 4010720 4182608 4583680 5228260 6417152 7319564 8021440 8365216 9149455 9167360 10456520 12834304 14639128 16042880 16730432 18298910 20913040 29278256 32085760 33460864 36597820 41826080 58556512 64171520 66921728 73195640 83652160 117113024 133843456 146391280 167304320 234226048 292782560 334608640 468452096 585565120 669217280 936904192 1171130240 2342260480 4684520960