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5363468544 = 28374721227
BaseRepresentation
bin1001111111011000…
…00000100100000000
3111211210022102200010
410333230000210000
541441021443134
62244113424520
7246624505350
oct47754004400
914753272603
105363468544
1123025a1335
12105826b140
1367624c335
1438c476b60
15215d00ce9
hex13fb00900

5363468544 has 144 divisors (see below), whose sum is σ = 16661772288. Its totient is φ = 1499744256.

The previous prime is 5363468543. The next prime is 5363468557. The reversal of 5363468544 is 4458643635.

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

It is a junction number, because it is equal to n+sod(n) for n = 5363468493 and 5363468502.

It is not an unprimeable number, because it can be changed into a prime (5363468543) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 242059 + ... + 263285.

It is an arithmetic number, because the mean of its divisors is an integer number (115706752).

Almost surely, 25363468544 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 5363468544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8330886144).

5363468544 is an abundant number, since it is smaller than the sum of its proper divisors (11298303744).

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

5363468544 is a wasteful number, since it uses less digits than its factorization.

5363468544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21300 (or 21286 counting only the distinct ones).

The product of its digits is 4147200, while the sum is 48.

The square root of 5363468544 is about 73235.7053901988. The cubic root of 5363468544 is about 1750.4454424176.

The spelling of 5363468544 in words is "five billion, three hundred sixty-three million, four hundred sixty-eight thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 47 48 56 64 84 94 96 112 128 141 168 188 192 224 256 282 329 336 376 384 448 564 658 672 752 768 896 987 1128 1316 1344 1504 1792 1974 2256 2632 2688 3008 3948 4512 5264 5376 6016 7896 9024 10528 12032 15792 18048 21056 21227 31584 36096 42112 42454 63168 63681 84224 84908 126336 127362 148589 169816 252672 254724 297178 339632 445767 509448 594356 679264 891534 997669 1018896 1188712 1358528 1783068 1995338 2037792 2377424 2717056 2993007 3566136 3990676 4075584 4754848 5434112 5986014 6983683 7132272 7981352 8151168 9509696 11972028 13967366 14264544 15962704 16302336 19019392 20951049 23944056 27934732 28529088 31925408 38038784 41902098 47888112 55869464 57058176 63850816 83804196 95776224 111738928 114116352 127701632 167608392 191552448 223477856 255403264 335216784 383104896 446955712 670433568 766209792 893911424 1340867136 1787822848 2681734272 5363468544