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5985914496 = 273233121863
BaseRepresentation
bin1011001001100100…
…11100111010000000
3120110011112221222220
411210302130322000
544224343230441
62425550531040
7301223301522
oct54462347200
916404487886
105985914496
1125a1990181
1211b0806a80
137451a6753
1440adc3a12
152507a4466
hex164c9ce80

5985914496 has 128 divisors (see below), whose sum is σ = 17127383040. Its totient is φ = 1846901760.

The previous prime is 5985914423. The next prime is 5985914497. The reversal of 5985914496 is 6944195895.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (5985914497) 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, 262861 + ... + 284723.

It is an arithmetic number, because the mean of its divisors is an integer number (133807680).

Almost surely, 25985914496 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 5985914496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8563691520).

5985914496 is an abundant number, since it is smaller than the sum of its proper divisors (11141468544).

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

5985914496 is a wasteful number, since it uses less digits than its factorization.

5985914496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21934 (or 21922 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 60.

The square root of 5985914496 is about 77368.6919625762. The cubic root of 5985914496 is about 1815.6975309215.

The spelling of 5985914496 in words is "five billion, nine hundred eighty-five million, nine hundred fourteen thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 31 32 46 48 62 64 69 92 93 96 124 128 138 184 186 192 248 276 368 372 384 496 552 713 736 744 992 1104 1426 1472 1488 1984 2139 2208 2852 2944 2976 3968 4278 4416 5704 5952 8556 8832 11408 11904 17112 21863 22816 34224 43726 45632 65589 68448 87452 91264 131178 136896 174904 262356 273792 349808 502849 524712 677753 699616 1005698 1049424 1355506 1399232 1508547 2011396 2033259 2098848 2711012 2798464 3017094 4022792 4066518 4197696 5422024 6034188 8045584 8133036 8395392 10844048 12068376 15588319 16091168 16266072 21688096 24136752 31176638 32182336 32532144 43376192 46764957 48273504 62353276 64364672 65064288 86752384 93529914 96547008 124706552 130128576 187059828 193094016 249413104 260257152 374119656 498826208 748239312 997652416 1496478624 1995304832 2992957248 5985914496