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5821634336 = 257231229523
BaseRepresentation
bin1010110101111111…
…10001011100100000
3120000201102122222112
411122333301130200
543410314244321
62401401454452
7264160034600
oct53277613440
916021378875
105821634336
112518185051
1211657a1428
1371a147a5b
143d325cc00
15241153a5b
hex15aff1720

5821634336 has 144 divisors (see below), whose sum is σ = 13849194240. Its totient is φ = 2399362560.

The previous prime is 5821634327. The next prime is 5821634389. The reversal of 5821634336 is 6334361285.

It is a junction number, because it is equal to n+sod(n) for n = 5821634293 and 5821634302.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11130971 + ... + 11131493.

It is an arithmetic number, because the mean of its divisors is an integer number (96174960).

Almost surely, 25821634336 is an apocalyptic number.

5821634336 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 5821634336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6924597120).

5821634336 is an abundant number, since it is smaller than the sum of its proper divisors (8027559904).

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

5821634336 is a wasteful number, since it uses less digits than its factorization.

5821634336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 807 (or 792 counting only the distinct ones).

The product of its digits is 311040, while the sum is 41.

The square root of 5821634336 is about 76299.6352284859. The cubic root of 5821634336 is about 1798.9329412240.

The spelling of 5821634336 in words is "five billion, eight hundred twenty-one million, six hundred thirty-four thousand, three hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 31 32 49 56 62 98 112 124 196 217 224 229 248 392 434 458 496 523 784 868 916 992 1046 1519 1568 1603 1736 1832 2092 3038 3206 3472 3661 3664 4184 6076 6412 6944 7099 7322 7328 8368 11221 12152 12824 14198 14644 16213 16736 22442 24304 25627 25648 28396 29288 32426 44884 48608 49693 51254 51296 56792 58576 64852 89768 99386 102508 113491 113584 117152 119767 129704 179536 198772 205016 226982 227168 239534 259408 347851 359072 397544 410032 453964 479068 518816 695702 794437 795088 820064 838369 907928 958136 1391404 1588874 1590176 1676738 1815856 1916272 2782808 3177748 3353476 3631712 3712777 3832544 5565616 5868583 6355496 6706952 7425554 11131232 11737166 12710992 13413904 14851108 23474332 25421984 25989439 26827808 29702216 46948664 51978878 59404432 93897328 103957756 118808864 181926073 187794656 207915512 363852146 415831024 727704292 831662048 1455408584 2910817168 5821634336