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5243067191664 = 2432712357217573
BaseRepresentation
bin100110001001011111100…
…1010000101000101110000
3200120020021100220211101100
41030102333022011011300
51141400300200113124
615052344250004400
71050541043541531
oct114227712050560
920506240824340
105243067191664
11174163281a245
12708184716700
132c055aa446b3
14141aa152c688
15915b6a951c9
hex4c4bf285170

5243067191664 has 120 divisors (see below), whose sum is σ = 14886353899872. Its totient is φ = 1722334763520.

The previous prime is 5243067191597. The next prime is 5243067191717. The reversal of 5243067191664 is 4661917603425.

It is a happy number.

5243067191664 is a `hidden beast` number, since 5 + 2 + 430 + 67 + 1 + 91 + 6 + 64 = 666.

It is a super-2 number, since 2×52430671916642 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5243067191664.

It is a congruent 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 23 ways as a sum of consecutive naturals, for example, 23989182 + ... + 24206754.

Almost surely, 25243067191664 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 5243067191664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7443176949936).

5243067191664 is an abundant number, since it is smaller than the sum of its proper divisors (9643286708208).

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

5243067191664 is a wasteful number, since it uses less digits than its factorization.

5243067191664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220015 (or 220006 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 5243067191664 in words is "five trillion, two hundred forty-three billion, sixty-seven million, one hundred ninety-one thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2357 2556 3408 4714 5112 7071 9428 10224 14142 18856 21213 28284 37712 42426 56568 84852 113136 167347 169704 217573 334694 339408 435146 502041 652719 669388 870292 1004082 1305438 1338776 1506123 1740584 1958157 2008164 2610876 2677552 3012246 3481168 3916314 4016328 5221752 6024492 7832628 8032656 10443504 12048984 15447683 15665256 24097968 30895366 31330512 46343049 61790732 92686098 123581464 139029147 185372196 247162928 278058294 370744392 512819561 556116588 741488784 1025639122 1112233176 1538458683 2051278244 2224466352 3076917366 4102556488 4615376049 6153834732 8205112976 9230752098 12307669464 18461504196 24615338928 36410188831 36923008392 72820377662 73846016784 109230566493 145640755324 218461132986 291281510648 327691699479 436922265972 582563021296 655383398958 873844531944 1310766797916 1747689063888 2621533595832 5243067191664