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4936556394 = 2337116119463
BaseRepresentation
bin1001001100011110…
…11101111101101010
3110202001000001022000
410212033131331222
540102224301034
62133503311430
7233222015460
oct44617357552
913661001260
104936556394
112103614980
12b592ab576
136089773b3
1434b8a8830
151dd5c3599
hex1263ddf6a

4936556394 has 128 divisors (see below), whose sum is σ = 13901967360. Its totient is φ = 1261137600.

The previous prime is 4936556393. The next prime is 4936556411.

4936556394 is a `hidden beast` number, since 49 + 36 + 5 + 563 + 9 + 4 = 666.

4936556394 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×49365563942 = 48739178062284566472, which contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 4936556394.

It is not an unprimeable number, because it can be changed into a prime (4936556393) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 243907 + ... + 263369.

It is an arithmetic number, because the mean of its divisors is an integer number (108609120).

Almost surely, 24936556394 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4936556394, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6950983680).

4936556394 is an abundant number, since it is smaller than the sum of its proper divisors (8965410966).

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

4936556394 is a wasteful number, since it uses less digits than its factorization.

4936556394 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19553 (or 19547 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The square root of 4936556394 is about 70260.6318929740. The cubic root of 4936556394 is about 1702.7126695847.

The spelling of 4936556394 in words is "four billion, nine hundred thirty-six million, five hundred fifty-six thousand, three hundred ninety-four".

Divisors: 1 2 3 6 7 9 11 14 18 21 22 27 33 42 54 61 63 66 77 99 122 126 154 183 189 198 231 297 366 378 427 462 549 594 671 693 854 1098 1281 1342 1386 1647 2013 2079 2562 3294 3843 4026 4158 4697 6039 7686 9394 11529 12078 14091 18117 19463 23058 28182 36234 38926 42273 58389 84546 116778 126819 136241 175167 214093 253638 272482 350334 408723 428186 525501 642279 817446 1051002 1187243 1226169 1284558 1498651 1926837 2374486 2452338 2997302 3561729 3678507 3853674 4495953 5780511 7123458 7357014 8310701 8991906 10685187 11561022 13059673 13487859 16621402 21370374 24932103 26119346 26975718 32055561 39179019 40463577 49864206 64111122 74796309 78358038 80927154 91417711 117537057 149592618 182835422 224388927 235074114 274253133 352611171 448777854 548506266 705222342 822759399 1645518798 2468278197 4936556394