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84539430432 = 253457112
BaseRepresentation
bin100111010111011110…
…0010101011000100000
322002012200212000220000
41032232330111120200
52341114043233212
6102500433220000
76051652205442
oct1165674253040
9262180760800
1084539430432
1132942339386
1214474101600
137c83735b22
14413d9ca492
1522ebc9a1dc
hex13aef15620

84539430432 has 90 divisors (see below), whose sum is σ = 248671659159. Its totient is φ = 28174875840.

The previous prime is 84539430421. The next prime is 84539430439. The reversal of 84539430432 is 23403493548.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

84539430432 is a `hidden beast` number, since 84 + 53 + 94 + 3 + 0 + 432 = 666.

It can be written as a sum of positive squares in only one way, i.e., 42269715216 + 42269715216 = 205596^2 + 205596^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=205596.

It is not an unprimeable number, because it can be changed into a prime (84539430439) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 14800057 + ... + 14805767.

Almost surely, 284539430432 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 84539430432

84539430432 is an abundant number, since it is smaller than the sum of its proper divisors (164132228727).

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

84539430432 is an frugal number, since it uses more digits than its factorization.

84539430432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11444 (or 5716 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 45.

It can be divided in two parts, 845394 and 30432, that added together give a triangular number (875826 = T1323).

The spelling of 84539430432 in words is "eighty-four billion, five hundred thirty-nine million, four hundred thirty thousand, four hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 5711 11422 17133 22844 34266 45688 51399 68532 91376 102798 137064 154197 182752 205596 274128 308394 411192 462591 548256 616788 822384 925182 1233576 1644768 1850364 2467152 3700728 4934304 7401456 14802912 32615521 65231042 97846563 130462084 195693126 260924168 293539689 391386252 521848336 587079378 782772504 880619067 1043696672 1174158756 1565545008 1761238134 2348317512 2641857201 3131090016 3522476268 4696635024 5283714402 7044952536 9393270048 10567428804 14089905072 21134857608 28179810144 42269715216 84539430432