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4842856512 = 26341371861
BaseRepresentation
bin1001000001010100…
…00010000001000000
3110111111200121020000
410200222002001000
534404232402022
62120315120000
7231003413124
oct44052020100
913444617200
104842856512
11206573685a
12b31a43000
135c242b390
1433d277584
151d52656ac
hex120a82040

4842856512 has 140 divisors (see below), whose sum is σ = 15460246956. Its totient is φ = 1490088960.

The previous prime is 4842856511. The next prime is 4842856519. The reversal of 4842856512 is 2156582484.

4842856512 is a `hidden beast` number, since 4 + 84 + 2 + 8 + 56 + 512 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 232989696 + 4609866816 = 15264^2 + 67896^2 .

It is a super-2 number, since 2×48428565122 = 46906518391641612288, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4842856511) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 31462 + ... + 103322.

Almost surely, 24842856512 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 4842856512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7730123478).

4842856512 is an abundant number, since it is smaller than the sum of its proper divisors (10617390444).

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

4842856512 is a wasteful number, since it uses less digits than its factorization.

4842856512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71898 (or 71879 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 4842856512 is about 69590.6352320483. The cubic root of 4842856512 is about 1691.8708215850.

The spelling of 4842856512 in words is "four billion, eight hundred forty-two million, eight hundred fifty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 81 96 104 108 117 144 156 162 192 208 216 234 288 312 324 351 416 432 468 576 624 648 702 832 864 936 1053 1248 1296 1404 1728 1872 2106 2496 2592 2808 3744 4212 5184 5616 7488 8424 11232 16848 22464 33696 67392 71861 143722 215583 287444 431166 574888 646749 862332 934193 1149776 1293498 1724664 1868386 1940247 2299552 2586996 2802579 3449328 3736772 3880494 4599104 5173992 5605158 5820741 6898656 7473544 7760988 8407737 10347984 11210316 11641482 13797312 14947088 15521976 16815474 20695968 22420632 23282964 25223211 29894176 31043952 33630948 41391936 44841264 46565928 50446422 59788352 62087904 67261896 75669633 89682528 93131856 100892844 124175808 134523792 151339266 179365056 186263712 201785688 269047584 302678532 372527424 403571376 538095168 605357064 807142752 1210714128 1614285504 2421428256 4842856512