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6445871032384 = 2672453372
BaseRepresentation
bin101110111001100101111…
…0110100110100001000000
3211211012220211112210202101
41131303023312212201000
51321102120441014014
621413105310400144
71233461456520400
oct135631366464100
924735824483671
106445871032384
112065751177373
12881305200054
13379ac61a2844
14183da619a800
15b2a129c8474
hex5dccbda6840

6445871032384 has 63 divisors (see below), whose sum is σ = 14879684197773. Its totient is φ = 2762455223808.

The previous prime is 6445871032357. The next prime is 6445871032397. The reversal of 6445871032384 is 4832301785446.

The square root of 6445871032384 is 2538872.

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

It can be written as a sum of positive squares in only one way, i.e., 4503393294400 + 1942477737984 = 2122120^2 + 1393728^2 .

It is a super-2 number, since 2×64458710323842 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 142154164 + ... + 142199500.

Almost surely, 26445871032384 is an apocalyptic number.

6445871032384 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6445871032384 is the 2538872-nd square number.

It is an amenable number.

6445871032384 is an abundant number, since it is smaller than the sum of its proper divisors (8433813165389).

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

6445871032384 is an frugal number, since it uses more digits than its factorization.

6445871032384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90700 (or 45346 counting only the distinct ones).

The product of its (nonzero) digits is 15482880, while the sum is 55.

The spelling of 6445871032384 in words is "six trillion, four hundred forty-five billion, eight hundred seventy-one million, thirty-two thousand, three hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 784 1568 3136 45337 90674 181348 317359 362696 634718 725392 1269436 1450784 2221513 2538872 2901568 4443026 5077744 8886052 10155488 17772104 20310976 35544208 71088416 142176832 2055443569 4110887138 8221774276 14388104983 16443548552 28776209966 32887097104 57552419932 65774194208 100716734881 115104839864 131548388416 201433469762 230209679728 402866939524 460419359456 805733879048 920838718912 1611467758096 3222935516192 6445871032384