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5551593984 = 29331723623
BaseRepresentation
bin1010010101110011…
…01001101000000000
3112022220022012021000
411022321221220000
542332202001414
62314513532000
7254400525126
oct51271515000
915286265230
105551593984
112399803802
1210ab274000
136a6209771
143a9447916
152275b1b09
hex14ae69a00

5551593984 has 160 divisors (see below), whose sum is σ = 17400493440. Its totient is φ = 1741602816.

The previous prime is 5551593961. The next prime is 5551593989. The reversal of 5551593984 is 4893951555.

5551593984 is a `hidden beast` number, since 5 + 551 + 5 + 9 + 3 + 9 + 84 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5551593984.

It is not an unprimeable number, because it can be changed into a prime (5551593989) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 223197 + ... + 246819.

It is an arithmetic number, because the mean of its divisors is an integer number (108753084).

Almost surely, 25551593984 is an apocalyptic number.

5551593984 is a gapful number since it is divisible by the number (54) 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 5551593984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8700246720).

5551593984 is an abundant number, since it is smaller than the sum of its proper divisors (11848899456).

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

5551593984 is a wasteful number, since it uses less digits than its factorization.

5551593984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23667 (or 23645 counting only the distinct ones).

The product of its digits is 4860000, while the sum is 54.

The square root of 5551593984 is about 74509.0194808655. The cubic root of 5551593984 is about 1770.6765354041.

The spelling of 5551593984 in words is "five billion, five hundred fifty-one million, five hundred ninety-three thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 32 34 36 48 51 54 64 68 72 96 102 108 128 136 144 153 192 204 216 256 272 288 306 384 408 432 459 512 544 576 612 768 816 864 918 1088 1152 1224 1536 1632 1728 1836 2176 2304 2448 3264 3456 3672 4352 4608 4896 6528 6912 7344 8704 9792 13056 13824 14688 19584 23623 26112 29376 39168 47246 58752 70869 78336 94492 117504 141738 188984 212607 235008 283476 377968 401591 425214 566952 637821 755936 803182 850428 1133904 1204773 1275642 1511872 1606364 1700856 2267808 2409546 2551284 3023744 3212728 3401712 3614319 4535616 4819092 5102568 6047488 6425456 6803424 7228638 9071232 9638184 10205136 10842957 12094976 12850912 13606848 14457276 18142464 19276368 20410272 21685914 25701824 27213696 28914552 36284928 38552736 40820544 43371828 51403648 54427392 57829104 77105472 81641088 86743656 102807296 108854784 115658208 154210944 163282176 173487312 205614592 231316416 308421888 326564352 346974624 462632832 616843776 693949248 925265664 1387898496 1850531328 2775796992 5551593984