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872456266047616 = 2737234778490823
BaseRepresentation
bin1100011001011111101000110…
…1110100011110000010000000
311020102010000010021001121001121
43012113322031310132002000
51403323310413102010431
612331320513035242024
7351524612411301205
oct30627721564360200
94212100107047047
10872456266047616
11232a9a696328998
1281a27a522a9314
132b5a83716514a3
1411563173d61cac
156ace8ca15a611
hex3197e8dd1e080

872456266047616 has 64 divisors (see below), whose sum is σ = 1785832646546880. Its totient is φ = 424257335221248.

The previous prime is 872456266047607. The next prime is 872456266047617. The reversal of 872456266047616 is 616740662654278.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×8724562660476162 (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (872456266047617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 28130020 + ... + 50360803.

It is an arithmetic number, because the mean of its divisors is an integer number (27903635102295).

Almost surely, 2872456266047616 is an apocalyptic number.

It is an amenable number.

872456266047616 is an abundant number, since it is smaller than the sum of its proper divisors (913376380499264).

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

872456266047616 is a wasteful number, since it uses less digits than its factorization.

872456266047616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78493221 (or 78493209 counting only the distinct ones).

The product of its (nonzero) digits is 975421440, while the sum is 70.

The spelling of 872456266047616 in words is "eight hundred seventy-two trillion, four hundred fifty-six billion, two hundred sixty-six million, forty-seven thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 296 592 1184 2347 2368 4694 4736 9388 18776 37552 75104 86839 150208 173678 300416 347356 694712 1389424 2778848 5557696 11115392 78490823 156981646 313963292 627926584 1255853168 2511706336 2904160451 5023412672 5808320902 10046825344 11616641804 23233283608 46466567216 92933134432 184217961581 185866268864 368435923162 371732537728 736871846324 1473743692648 2947487385296 5894974770592 6816064578497 11789949541184 13632129156994 23579899082368 27264258313988 54528516627976 109057033255952 218114066511904 436228133023808 872456266047616