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4811993472 = 273111387631
BaseRepresentation
bin1000111101101000…
…10011000110000000
3110102100121121002110
410132310103012000
534323332242342
62113253415320
7230150161326
oct43664230600
913370547073
104811993472
11204a276a10
12b2363a540
135b8c13620
14339121d16
151d26bac9c
hex11ed13180

4811993472 has 128 divisors (see below), whose sum is σ = 15016619520. Its totient is φ = 1345996800.

The previous prime is 4811993467. The next prime is 4811993491. The reversal of 4811993472 is 2743991184.

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

It is a super-2 number, since 2×48119934722 = 46310562349141229568, which contains 22 as substring.

It is a Smith number, since the sum of its digits (48) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

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, 11097 + ... + 98727.

It is an arithmetic number, because the mean of its divisors is an integer number (117317340).

Almost surely, 24811993472 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 4811993472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7508309760).

4811993472 is an abundant number, since it is smaller than the sum of its proper divisors (10204626048).

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

4811993472 is a wasteful number, since it uses less digits than its factorization.

4811993472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87672 (or 87660 counting only the distinct ones).

The product of its digits is 435456, while the sum is 48.

The square root of 4811993472 is about 69368.5337310801. The cubic root of 4811993472 is about 1688.2691184616.

The spelling of 4811993472 in words is "four billion, eight hundred eleven million, nine hundred ninety-three thousand, four hundred seventy-two".

Divisors: 1 2 3 4 6 8 11 12 13 16 22 24 26 32 33 39 44 48 52 64 66 78 88 96 104 128 132 143 156 176 192 208 264 286 312 352 384 416 429 528 572 624 704 832 858 1056 1144 1248 1408 1664 1716 2112 2288 2496 3432 4224 4576 4992 6864 9152 13728 18304 27456 54912 87631 175262 262893 350524 525786 701048 963941 1051572 1139203 1402096 1927882 2103144 2278406 2804192 2891823 3417609 3855764 4206288 4556812 5608384 5783646 6835218 7711528 8412576 9113624 11216768 11567292 12531233 13670436 15423056 16825152 18227248 23134584 25062466 27340872 30846112 33650304 36454496 37593699 46269168 50124932 54681744 61692224 72908992 75187398 92538336 100249864 109363488 123384448 145817984 150374796 185076672 200499728 218726976 300749592 370153344 400999456 437453952 601499184 801998912 1202998368 1603997824 2405996736 4811993472