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420364361076 = 2231137199432511
BaseRepresentation
bin1100001110111111010…
…10110001110101110100
31111012000220201002200020
412013133222301311310
523341401234023301
6521040203045140
742241010054052
oct6073752616564
91435026632606
10420364361076
111523037a5280
12695772107b0
1330842659a3a
14164baa131d2
15ae04638436
hex61dfab1d74

420364361076 has 96 divisors (see below), whose sum is σ = 1104462643200. Its totient is φ = 123317251200.

The previous prime is 420364361063. The next prime is 420364361093. The reversal of 420364361076 is 670163463024.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 755661 + ... + 1188171.

It is an arithmetic number, because the mean of its divisors is an integer number (11504819200).

Almost surely, 2420364361076 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 420364361076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552231321600).

420364361076 is an abundant number, since it is smaller than the sum of its proper divisors (684098282124).

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

420364361076 is a wasteful number, since it uses less digits than its factorization.

420364361076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432765 (or 432763 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 42.

The spelling of 420364361076 in words is "four hundred twenty billion, three hundred sixty-four million, three hundred sixty-one thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 33 37 44 66 74 111 132 148 199 222 398 407 444 597 796 814 1194 1221 1628 2189 2388 2442 4378 4884 6567 7363 8756 13134 14726 22089 26268 29452 44178 80993 88356 161986 242979 323972 432511 485958 865022 971916 1297533 1730044 2595066 4757621 5190132 9515242 14272863 16002907 19030484 28545726 32005814 48008721 57091452 64011628 86069689 96017442 172139378 176031977 192034884 258209067 344278756 352063954 516418134 528095931 704127908 946766579 1032836268 1056191862 1893533158 2112383724 2840299737 3184578493 3787066316 5680599474 6369156986 9553735479 11361198948 12738313972 19107470958 35030363423 38214941916 70060726846 105091090269 140121453692 210182180538 420364361076