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4943368128 = 263313722447
BaseRepresentation
bin1001001101010010…
…11100111111000000
3110202111211010020110
410212221130333000
540111000240003
62134305311320
7233333635656
oct44651347700
913674733213
104943368128
112107447706
12b5b635540
1360a1c09ca
1434c75cdd6
151ddebba03
hex126a5cfc0

4943368128 has 112 divisors (see below), whose sum is σ = 13866758144. Its totient is φ = 1551467520.

The previous prime is 4943368099. The next prime is 4943368151. The reversal of 4943368128 is 8218633494.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

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, 209001 + ... + 231447.

Almost surely, 24943368128 is an apocalyptic number.

4943368128 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4943368128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6933379072).

4943368128 is an abundant number, since it is smaller than the sum of its proper divisors (8923390016).

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

4943368128 is a wasteful number, since it uses less digits than its factorization.

4943368128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22530 (or 22520 counting only the distinct ones).

The product of its digits is 995328, while the sum is 48.

The square root of 4943368128 is about 70309.0899386416. The cubic root of 4943368128 is about 1703.4954753996.

The spelling of 4943368128 in words is "four billion, nine hundred forty-three million, three hundred sixty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 37 48 62 64 74 93 96 111 124 148 186 192 222 248 296 372 444 496 592 744 888 992 1147 1184 1488 1776 1984 2294 2368 2976 3441 3552 4588 5952 6882 7104 9176 13764 18352 22447 27528 36704 44894 55056 67341 73408 89788 110112 134682 179576 220224 269364 359152 538728 695857 718304 830539 1077456 1391714 1436608 1661078 2087571 2154912 2491617 2783428 3322156 4175142 4309824 4983234 5566856 6644312 8350284 9966468 11133712 13288624 16700568 19932936 22267424 25746709 26577248 33401136 39865872 44534848 51493418 53154496 66802272 77240127 79731744 102986836 133604544 154480254 159463488 205973672 308960508 411947344 617921016 823894688 1235842032 1647789376 2471684064 4943368128