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8420450064 = 24313174716889
BaseRepresentation
bin1111101011110010…
…11101111100010000
3210201211120011221220
413311321131330100
5114221113400224
63511315245040
7415444434045
oct76571357420
923654504856
108420450064
113631140844
12176bba9780
13a42694940
1459c4731cc
1534439d279
hex1f5e5df10

8420450064 has 160 divisors (see below), whose sum is σ = 25333378560. Its totient is φ = 2386477056.

The previous prime is 8420450033. The next prime is 8420450069. The reversal of 8420450064 is 4600540248.

It is not an unprimeable number, because it can be changed into a prime (8420450069) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 490132 + ... + 507020.

It is an arithmetic number, because the mean of its divisors is an integer number (158333616).

Almost surely, 28420450064 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 8420450064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12666689280).

8420450064 is an abundant number, since it is smaller than the sum of its proper divisors (16912928496).

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

8420450064 is a wasteful number, since it uses less digits than its factorization.

8420450064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16977 (or 16971 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 33.

The square root of 8420450064 is about 91763.0103255119. The cubic root of 8420450064 is about 2034.4410093263.

The spelling of 8420450064 in words is "eight billion, four hundred twenty million, four hundred fifty thousand, sixty-four".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 47 48 51 52 68 78 94 102 104 136 141 156 188 204 208 221 272 282 312 376 408 442 564 611 624 663 752 799 816 884 1128 1222 1326 1598 1768 1833 2256 2397 2444 2652 3196 3536 3666 4794 4888 5304 6392 7332 9588 9776 10387 10608 12784 14664 16889 19176 20774 29328 31161 33778 38352 41548 50667 62322 67556 83096 101334 124644 135112 166192 202668 219557 249288 270224 287113 405336 439114 498576 574226 658671 793783 810672 861339 878228 1148452 1317342 1587566 1722678 1756456 2296904 2381349 2634684 3175132 3445356 3512912 3732469 4593808 4762698 5269368 6350264 6890712 7464938 9525396 10319179 10538736 11197407 12700528 13494311 13781424 14929876 19050792 20638358 22394814 26988622 29859752 30957537 38101584 40482933 41276716 44789628 53977244 59719504 61915074 80965866 82553432 89579256 107954488 123830148 161931732 165106864 175426043 179158512 215908976 247660296 323863464 350852086 495320592 526278129 647726928 701704172 1052556258 1403408344 2105112516 2806816688 4210225032 8420450064