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16532448920 = 23513111728463
BaseRepresentation
bin11110110010110100…
…10010011010011000
31120200011201102101222
433121122102122120
5232324301331140
611332255431212
71123455332351
oct173132223230
946604642358
1016532448920
117014155629
123254825508
13173618cb70
14b2b972d28
1566b61d5b5
hex3d9692698

16532448920 has 64 divisors (see below), whose sum is σ = 40096667520. Its totient is φ = 6098609664.

The previous prime is 16532448883. The next prime is 16532448937. The reversal of 16532448920 is 2984423561.

16532448920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

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 15 ways as a sum of consecutive naturals, for example, 566609 + ... + 595071.

It is an arithmetic number, because the mean of its divisors is an integer number (626510430).

Almost surely, 216532448920 is an apocalyptic number.

16532448920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16532448920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20048333760).

16532448920 is an abundant number, since it is smaller than the sum of its proper divisors (23564218600).

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

16532448920 is a wasteful number, since it uses less digits than its factorization.

16532448920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29604 (or 29600 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The spelling of 16532448920 in words is "sixteen billion, five hundred thirty-two million, four hundred forty-eight thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1117 2234 4468 5585 8936 11170 14521 22340 28463 29042 44680 56926 58084 72605 113852 116168 142315 145210 227704 284630 290420 370019 569260 580840 740038 1138520 1480076 1850095 2960152 3700190 7400380 14800760 31793171 63586342 127172684 158965855 254345368 317931710 413311223 635863420 826622446 1271726840 1653244892 2066556115 3306489784 4133112230 8266224460 16532448920