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5026809984 = 27372118863
BaseRepresentation
bin1001010111001111…
…10000100010000000
3110222022211101221120
410223213300202000
540243330404414
62150445552240
7235366115460
oct45347604200
913868741846
105026809984
11214a559819
12b83575680
136215878a1
1435987dba0
151e64a02a9
hex12b9f0880

5026809984 has 128 divisors (see below), whose sum is σ = 15334010880. Its totient is φ = 1429263360.

The previous prime is 5026809967. The next prime is 5026810049. The reversal of 5026809984 is 4899086205.

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

It is an unprimeable number.

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, 562737 + ... + 571599.

It is an arithmetic number, because the mean of its divisors is an integer number (119796960).

Almost surely, 25026809984 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 5026809984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7667005440).

5026809984 is an abundant number, since it is smaller than the sum of its proper divisors (10307200896).

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

5026809984 is a wasteful number, since it uses less digits than its factorization.

5026809984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9098 (or 9086 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The square root of 5026809984 is about 70899.9998871650. Note that the first 3 decimals coincide. The cubic root of 5026809984 is about 1713.0267954610.

The spelling of 5026809984 in words is "five billion, twenty-six million, eight hundred nine thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 211 224 336 384 422 448 633 672 844 896 1266 1344 1477 1688 2532 2688 2954 3376 4431 5064 5908 6752 8862 8863 10128 11816 13504 17724 17726 20256 23632 26589 27008 35448 35452 40512 47264 53178 62041 70896 70904 81024 94528 106356 124082 141792 141808 186123 189056 212712 248164 283584 283616 372246 425424 496328 567168 567232 744492 850848 992656 1134464 1488984 1701696 1870093 1985312 2977968 3403392 3740186 3970624 5610279 5955936 7480372 7941248 11220558 11911872 13090651 14960744 22441116 23823744 26181302 29921488 39271953 44882232 52362604 59842976 78543906 89764464 104725208 119685952 157087812 179528928 209450416 239371904 314175624 359057856 418900832 628351248 718115712 837801664 1256702496 1675603328 2513404992 5026809984