Search a number
-
+
5363354976 = 253724127809
BaseRepresentation
bin1001111111010111…
…00100110101100000
3111211210002122212220
410333223210311200
541441004324401
62244111151040
7246623523300
oct47753446540
914753078786
105363354976
112302523a81
121058215480
1367620c735
1438c447600
15215ccc336
hex13fae4d60

5363354976 has 144 divisors (see below), whose sum is σ = 16777439280. Its totient is φ = 1494958080.

The previous prime is 5363354923. The next prime is 5363354977. The reversal of 5363354976 is 6794533635.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5363354977) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 178960 + ... + 206768.

It is an arithmetic number, because the mean of its divisors is an integer number (116509995).

Almost surely, 25363354976 is an apocalyptic number.

5363354976 is a gapful number since it is divisible by the number (56) 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 5363354976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8388719640).

5363354976 is an abundant number, since it is smaller than the sum of its proper divisors (11414084304).

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

5363354976 is a wasteful number, since it uses less digits than its factorization.

5363354976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27877 (or 27862 counting only the distinct ones).

The product of its digits is 6123600, while the sum is 51.

The square root of 5363354976 is about 73234.9300265932. The cubic root of 5363354976 is about 1750.4330874780.

The spelling of 5363354976 in words is "five billion, three hundred sixty-three million, three hundred fifty-four thousand, nine hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 41 42 48 49 56 82 84 96 98 112 123 147 164 168 196 224 246 287 294 328 336 392 492 574 588 656 672 784 861 984 1148 1176 1312 1568 1722 1968 2009 2296 2352 3444 3936 4018 4592 4704 6027 6888 8036 9184 12054 13776 16072 24108 27552 27809 32144 48216 55618 64288 83427 96432 111236 166854 192864 194663 222472 333708 389326 444944 583989 667416 778652 889888 1140169 1167978 1334832 1362641 1557304 2280338 2335956 2669664 2725282 3114608 3420507 4087923 4560676 4671912 5450564 6229216 6841014 7981183 8175846 9121352 9343824 10901128 13682028 15962366 16351692 18242704 18687648 21802256 23943549 27364056 31924732 32703384 36485408 43604512 47887098 54728112 55868281 63849464 65406768 95774196 109456224 111736562 127698928 130813536 167604843 191548392 223473124 255397856 335209686 383096784 446946248 670419372 766193568 893892496 1340838744 1787784992 2681677488 5363354976