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4681056798 = 23311431311399
BaseRepresentation
bin1000101110000001…
…10100001000011110
3110002020020022202000
410113000310020132
534041322304143
62052255143130
7224000216625
oct42700641036
913066208660
104681056798
111a92375290
12aa7814aa6
13597a5a6c2
1432599a6bc
151c5e54bd3
hex11703421e

4681056798 has 128 divisors (see below), whose sum is σ = 11708928000. Its totient is φ = 1373954400.

The previous prime is 4681056781. The next prime is 4681056799. The reversal of 4681056798 is 8976501864.

4681056798 is a `hidden beast` number, since 4 + 68 + 10 + 567 + 9 + 8 = 666.

It is a super-2 number, since 2×46810567982 = 43824585492204025608, 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 not an unprimeable number, because it can be changed into a prime (4681056799) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3345303 + ... + 3346701.

It is an arithmetic number, because the mean of its divisors is an integer number (91476000).

Almost surely, 24681056798 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4681056798, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5854464000).

4681056798 is an abundant number, since it is smaller than the sum of its proper divisors (7027871202).

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

4681056798 is a wasteful number, since it uses less digits than its factorization.

4681056798 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1595 (or 1589 counting only the distinct ones).

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

The square root of 4681056798 is about 68418.2490129644. The cubic root of 4681056798 is about 1672.8152161812.

The spelling of 4681056798 in words is "four billion, six hundred eighty-one million, fifty-six thousand, seven hundred ninety-eight".

Divisors: 1 2 3 6 9 11 18 22 27 33 43 54 66 86 99 129 131 198 258 262 297 387 393 473 594 774 786 946 1161 1179 1399 1419 1441 2322 2358 2798 2838 2882 3537 4197 4257 4323 5633 7074 8394 8514 8646 11266 12591 12771 12969 15389 16899 25182 25542 25938 30778 33798 37773 38907 46167 50697 60157 61963 75546 77814 92334 101394 120314 123926 138501 152091 180471 183269 185889 277002 304182 360942 366538 371778 415503 541413 549807 557667 661727 831006 1082826 1099614 1115334 1323454 1624239 1649421 1673001 1985181 2015959 3248478 3298842 3346002 3970362 4031918 4948263 5955543 6047877 7880567 9896526 11911086 12095754 15761134 17866629 18143631 23641701 35733258 36287262 47283402 54430893 70925103 86686237 108861786 141850206 173372474 212775309 260058711 425550618 520117422 780176133 1560352266 2340528399 4681056798