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5984490816 = 263313126437
BaseRepresentation
bin1011001001011010…
…00001010101000000
3120110001212122002000
411210231001111000
544224012201231
62425500224000
7301205222043
oct54455012500
916401778060
105984490816
1125a10a8587
1211b023b000
13744ac8735
1440ab32c5a
152505c26e6
hex164b41540

5984490816 has 112 divisors (see below), whose sum is σ = 17728265280. Its totient is φ = 1979527680.

The previous prime is 5984490803. The next prime is 5984490823. The reversal of 5984490816 is 6180944895.

5984490816 is a `hidden beast` number, since 598 + 4 + 49 + 0 + 8 + 1 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

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, 213150 + ... + 239586.

Almost surely, 25984490816 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 5984490816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8864132640).

5984490816 is an abundant number, since it is smaller than the sum of its proper divisors (11743774464).

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

5984490816 is a wasteful number, since it uses less digits than its factorization.

5984490816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26589 (or 26573 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The square root of 5984490816 is about 77359.4907946013. The cubic root of 5984490816 is about 1815.5535720090.

The spelling of 5984490816 in words is "five billion, nine hundred eighty-four million, four hundred ninety thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 131 144 192 216 262 288 393 432 524 576 786 864 1048 1179 1572 1728 2096 2358 3144 3537 4192 4716 6288 7074 8384 9432 12576 14148 18864 25152 26437 28296 37728 52874 56592 75456 79311 105748 113184 158622 211496 226368 237933 317244 422992 475866 634488 713799 845984 951732 1268976 1427598 1691968 1903464 2537952 2855196 3463247 3806928 5075904 5710392 6926494 7613856 10389741 11420784 13852988 15227712 20779482 22841568 27705976 31169223 41558964 45683136 55411952 62338446 83117928 93507669 110823904 124676892 166235856 187015338 221647808 249353784 332471712 374030676 498707568 664943424 748061352 997415136 1496122704 1994830272 2992245408 5984490816