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20534316804 = 22341924192
BaseRepresentation
bin10011000111111100…
…001100111100000100
31222000001221101010000
4103013330030330010
5314023241114204
613233333401300
71324600545561
oct230774147404
958001841100
1020534316804
1187880a5161
123b90a99230
131c232b6821
14dcb251868
15802b12039
hex4c7f0cf04

20534316804 has 135 divisors (see below), whose sum is σ = 56790300567. Its totient is φ = 6469044912.

The previous prime is 20534316799. The next prime is 20534316833. The reversal of 20534316804 is 40861343502.

The square root of 20534316804 is 143298.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 49007707 + ... + 49008125.

Almost surely, 220534316804 is an apocalyptic number.

20534316804 is the 143298-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20534316804

20534316804 is an abundant number, since it is smaller than the sum of its proper divisors (36255983763).

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

20534316804 is an equidigital number, since it uses as much as digits as its factorization.

20534316804 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 892 (or 443 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 36.

Multiplying 20534316804 by its sum of digits (36), we get a square (739235404944 = 8597882).

20534316804 divided by its sum of digits (36) gives a square (570397689 = 238832).

The spelling of 20534316804 in words is "twenty billion, five hundred thirty-four million, three hundred sixteen thousand, eight hundred four".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 81 108 114 162 171 228 324 342 361 419 513 684 722 838 1026 1083 1257 1444 1539 1676 2052 2166 2514 3078 3249 3771 4332 5028 6156 6498 7542 7961 9747 11313 12996 15084 15922 19494 22626 23883 29241 31844 33939 38988 45252 47766 58482 67878 71649 95532 116964 135756 143298 151259 175561 214947 286596 302518 351122 429894 453777 526683 605036 644841 702244 859788 907554 1053366 1289682 1361331 1580049 1815108 2106732 2579364 2722662 3160098 3335659 4083993 4740147 5445324 6320196 6671318 8167986 9480294 10006977 12251979 13342636 14220441 16335972 18960588 20013954 24503958 28440882 30020931 40027908 49007916 56881764 60041862 63377521 90062793 120083724 126755042 180125586 190132563 253510084 270188379 360251172 380265126 540376758 570397689 760530252 1080753516 1140795378 1711193067 2281590756 3422386134 5133579201 6844772268 10267158402 20534316804