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4859982072 = 2333113116577
BaseRepresentation
bin1001000011010110…
…10111000011111000
3110112200220200002000
410201223113003320
534423123411242
62122130141000
7231302110641
oct44153270370
913480820060
104859982072
112074373510
12b37721760
135c5b4634a
143416546c8
151d69e9a4c
hex121ad70f8

4859982072 has 128 divisors (see below), whose sum is σ = 14776819200. Its totient is φ = 1467763200.

The previous prime is 4859982059. The next prime is 4859982097. The reversal of 4859982072 is 2702899584.

4859982072 is a `hidden beast` number, since 48 + 599 + 8 + 2 + 0 + 7 + 2 = 666.

It is a super-2 number, since 2×48599820722 = 47238851480322826368, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 735648 + ... + 742224.

It is an arithmetic number, because the mean of its divisors is an integer number (115443900).

Almost surely, 24859982072 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 4859982072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7388409600).

4859982072 is an abundant number, since it is smaller than the sum of its proper divisors (9916837128).

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

4859982072 is a wasteful number, since it uses less digits than its factorization.

4859982072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6914 (or 6904 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The square root of 4859982072 is about 69713.5716485678. The cubic root of 4859982072 is about 1693.8627691569.

The spelling of 4859982072 in words is "four billion, eight hundred fifty-nine million, nine hundred eighty-two thousand, seventy-two".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 311 396 594 622 792 933 1188 1244 1866 2376 2488 2799 3421 3732 5598 6577 6842 7464 8397 10263 11196 13154 13684 16794 19731 20526 22392 26308 27368 30789 33588 39462 41052 52616 59193 61578 67176 72347 78924 82104 92367 118386 123156 144694 157848 177579 184734 217041 236772 246312 289388 355158 369468 434082 473544 578776 651123 710316 738936 868164 1302246 1420632 1736328 1953369 2045447 2604492 3906738 4090894 5208984 6136341 7813476 8181788 12272682 15626952 16363576 18409023 22499917 24545364 36818046 44999834 49090728 55227069 67499751 73636092 89999668 110454138 134999502 147272184 179999336 202499253 220908276 269999004 404998506 441816552 539998008 607497759 809997012 1214995518 1619994024 2429991036 4859982072