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220127051143072 = 25191021676352433
BaseRepresentation
bin110010000011010001010010…
…101100000101011110100000
31001212101221101200020100121201
4302003101102230011132200
5212323030200043034242
62100100545442330544
764236440351256313
oct6203212254053640
91055357350210551
10220127051143072
11641593a3740677
1220832120059a54
1395a9b7952b688
143c502c585897a
151a6b022e484b7
hexc83452b057a0

220127051143072 has 96 divisors (see below), whose sum is σ = 456707380086720. Its totient is φ = 104151193251840.

The previous prime is 220127051143067. The next prime is 220127051143121. The reversal of 220127051143072 is 270341150721022.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4198227768 + ... + 4198280200.

It is an arithmetic number, because the mean of its divisors is an integer number (4757368542570).

Almost surely, 2220127051143072 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 220127051143072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228353690043360).

220127051143072 is an abundant number, since it is smaller than the sum of its proper divisors (236580328943648).

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

220127051143072 is a wasteful number, since it uses less digits than its factorization.

220127051143072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60246 (or 60238 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 37.

The spelling of 220127051143072 in words is "two hundred twenty trillion, one hundred twenty-seven billion, fifty-one million, one hundred forty-three thousand, seventy-two".

Divisors: 1 2 4 8 16 19 32 38 76 152 304 608 1021 2042 4084 6763 8168 13526 16336 19399 27052 32672 38798 52433 54104 77596 104866 108208 128497 155192 209732 216416 256994 310384 419464 513988 620768 838928 996227 1027976 1677856 1992454 2055952 3984908 4111904 6905023 7969816 13810046 15939632 27620092 31879264 53534093 55240184 107068186 110480368 131195437 214136372 220960736 262390874 354604379 428272744 524781748 709208758 856545488 1017147767 1049563496 1418417516 1713090976 2034295534 2099126992 2836835032 4068591068 4198253984 5673670064 6737483201 8137182136 11347340128 13474966402 16274364272 26949932804 32548728544 53899865608 107799731216 215599462432 362051070959 724102141918 1448204283836 2896408567672 5792817135344 6878970348221 11585634270688 13757940696442 27515881392884 55031762785768 110063525571536 220127051143072