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5184995328 = 214343907
BaseRepresentation
bin1001101010000110…
…01100000000000000
3111101100111001110000
410311003030000000
541104324322303
62214300240000
7242326506312
oct46503140000
914340431400
105184995328
112220881807
121008540000
13648291396
143728997b2
152052e9da3
hex1350cc000

5184995328 has 150 divisors (see below), whose sum is σ = 15494465756. Its totient is φ = 1727889408.

The previous prime is 5184995273. The next prime is 5184995339. The reversal of 5184995328 is 8235994815.

5184995328 is a `hidden beast` number, since 5 + 18 + 4 + 99 + 532 + 8 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1325151 + ... + 1329057.

Almost surely, 25184995328 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 5184995328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7747232878).

5184995328 is an abundant number, since it is smaller than the sum of its proper divisors (10309470428).

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

5184995328 is an frugal number, since it uses more digits than its factorization.

5184995328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3947 (or 3912 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 54.

The square root of 5184995328 is about 72006.9116682558. The cubic root of 5184995328 is about 1730.8102420477.

It can be divided in two parts, 5184 and 995328, that multiplied together give a 9-th power (5159780352 = 129).

The spelling of 5184995328 in words is "five billion, one hundred eighty-four million, nine hundred ninety-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 81 96 108 128 144 162 192 216 256 288 324 384 432 512 576 648 768 864 1024 1152 1296 1536 1728 2048 2304 2592 3072 3456 3907 4096 4608 5184 6144 6912 7814 8192 9216 10368 11721 12288 13824 15628 16384 18432 20736 23442 24576 27648 31256 35163 36864 41472 46884 49152 55296 62512 70326 73728 82944 93768 105489 110592 125024 140652 147456 165888 187536 210978 221184 250048 281304 316467 331776 375072 421956 442368 500096 562608 632934 663552 750144 843912 1000192 1125216 1265868 1327104 1500288 1687824 2000384 2250432 2531736 3000576 3375648 4000768 4500864 5063472 6001152 6751296 8001536 9001728 10126944 12002304 13502592 16003072 18003456 20253888 24004608 27005184 32006144 36006912 40507776 48009216 54010368 64012288 72013824 81015552 96018432 108020736 144027648 162031104 192036864 216041472 288055296 324062208 432082944 576110592 648124416 864165888 1296248832 1728331776 2592497664 5184995328