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2143475136 = 26341137589
BaseRepresentation
bin111111111000010…
…1101010111000000
312112101022211010000
41333300231113000
513342212201021
6552410040000
7104055144435
oct17760552700
95471284100
102143475136
119aaa32660
124b9a19000
132821003aa
14164965b8c
15c82a3b26
hex7fc2d5c0

2143475136 has 140 divisors (see below), whose sum is σ = 6931746360. Its totient is φ = 649520640.

The previous prime is 2143475123. The next prime is 2143475143. The reversal of 2143475136 is 6315743412.

2143475136 is a `hidden beast` number, since 21 + 434 + 75 + 136 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2143475136.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 38230 + ... + 75818.

It is an arithmetic number, because the mean of its divisors is an integer number (49512474).

Almost surely, 22143475136 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 2143475136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3465873180).

2143475136 is an abundant number, since it is smaller than the sum of its proper divisors (4788271224).

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

2143475136 is a wasteful number, since it uses less digits than its factorization.

2143475136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37624 (or 37605 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 2143475136 is about 46297.6795962821. The cubic root of 2143475136 is about 1289.3559142703.

The spelling of 2143475136 in words is "two billion, one hundred forty-three million, four hundred seventy-five thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 81 88 96 99 108 132 144 162 176 192 198 216 264 288 297 324 352 396 432 528 576 594 648 704 792 864 891 1056 1188 1296 1584 1728 1782 2112 2376 2592 3168 3564 4752 5184 6336 7128 9504 14256 19008 28512 37589 57024 75178 112767 150356 225534 300712 338301 413479 451068 601424 676602 826958 902136 1014903 1202848 1240437 1353204 1653916 1804272 2029806 2405696 2480874 2706408 3044709 3307832 3608544 3721311 4059612 4961748 5412816 6089418 6615664 7217088 7442622 8119224 9923496 10825632 11163933 12178836 13231328 14885244 16238448 19846992 21651264 22327866 24357672 26462656 29770488 32476896 33491799 39693984 44655732 48715344 59540976 64953792 66983598 79387968 89311464 97430688 119081952 133967196 178622928 194861376 238163904 267934392 357245856 535868784 714491712 1071737568 2143475136