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4980717056 = 29729173277
BaseRepresentation
bin1001010001101111…
…11011011000000000
3110212010002122100002
410220313323120000
540200030421211
62142122015132
7234266252660
oct45067733000
913763078302
104980717056
112126537497
12b700474a8
13614b69973
143536c21a0
151e23e803b
hex128dfb600

4980717056 has 160 divisors (see below), whose sum is σ = 11876293440. Its totient is φ = 2041675776.

The previous prime is 4980717043. The next prime is 4980717067. The reversal of 4980717056 is 6507170894.

It is a hoax number, since the sum of its digits (47) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 4980717056.

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, 17980790 + ... + 17981066.

It is an arithmetic number, because the mean of its divisors is an integer number (74226834).

Almost surely, 24980717056 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 4980717056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5938146720).

4980717056 is an abundant number, since it is smaller than the sum of its proper divisors (6895576384).

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

4980717056 is a wasteful number, since it uses less digits than its factorization.

4980717056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 504 (or 488 counting only the distinct ones).

The product of its (nonzero) digits is 423360, while the sum is 47.

The square root of 4980717056 is about 70574.1953974680. The cubic root of 4980717056 is about 1707.7748900288.

The spelling of 4980717056 in words is "four billion, nine hundred eighty million, seven hundred seventeen thousand, fifty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 173 203 224 232 256 277 346 406 448 464 512 554 692 812 896 928 1108 1211 1384 1624 1792 1856 1939 2216 2422 2768 3248 3584 3712 3878 4432 4844 5017 5536 6496 7424 7756 8033 8864 9688 10034 11072 12992 14848 15512 16066 17728 19376 20068 22144 25984 31024 32132 35119 35456 38752 40136 44288 47921 51968 56231 62048 64264 70238 70912 77504 80272 88576 95842 103936 112462 124096 128528 140476 141824 155008 160544 191684 224924 248192 257056 280952 310016 321088 335447 383368 449848 496384 514112 561904 620032 642176 670894 766736 899696 992768 1028224 1123808 1284352 1341788 1389709 1533472 1799392 2056448 2247616 2568704 2683576 2779418 3066944 3598784 4112896 4495232 5367152 5558836 6133888 7197568 8990464 9727963 10734304 11117672 12267776 14395136 17980928 19455926 21468608 22235344 24535552 28790272 38911852 42937216 44470688 77823704 85874432 88941376 155647408 171748864 177882752 311294816 355765504 622589632 711531008 1245179264 2490358528 4980717056