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421751531776 = 2837210972
BaseRepresentation
bin1100010001100100101…
…10011010100100000000
31111022121120220200010211
412020302112122210000
523402221343004101
6521425555003504
742320252604361
oct6106226324400
91438546820124
10421751531776
11152955821143
12698a3899594
1330a03b65bc3
14165acd45b68
15ae862e6c51
hex623259a900

421751531776 has 81 divisors (see below), whose sum is σ = 866012829339. Its totient is φ = 204989386752.

The previous prime is 421751531771. The next prime is 421751531791. The reversal of 421751531776 is 677135157124.

The square root of 421751531776 is 649424.

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

It can be written as a sum of positive squares in 4 ways, for example, as 22327531776 + 399424000000 = 149424^2 + 632000^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (421751531771) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 384458460 + ... + 384459556.

Almost surely, 2421751531776 is an apocalyptic number.

421751531776 is the 649424-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 421751531776

421751531776 is an abundant number, since it is smaller than the sum of its proper divisors (444261297563).

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

421751531776 is an frugal number, since it uses more digits than its factorization.

421751531776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2284 (or 1136 counting only the distinct ones).

The product of its digits is 1234800, while the sum is 49.

Multiplying 421751531776 by its sum of digits (49), we get a square (20665825057024 = 45459682).

The spelling of 421751531776 in words is "four hundred twenty-one billion, seven hundred fifty-one million, five hundred thirty-one thousand, seven hundred seventy-six".

Divisors: 1 2 4 8 16 32 37 64 74 128 148 256 296 592 1097 1184 1369 2194 2368 2738 4388 4736 5476 8776 9472 10952 17552 21904 35104 40589 43808 70208 81178 87616 140416 162356 175232 280832 324712 350464 649424 1203409 1298848 1501793 2406818 2597696 3003586 4813636 5195392 6007172 9627272 10390784 12014344 19254544 24028688 38509088 44526133 48057376 77018176 89052266 96114752 154036352 178104532 192229504 308072704 356209064 384459008 712418128 1424836256 1647466921 2849672512 3294933842 5699345024 6589867684 11398690048 13179735368 26359470736 52718941472 105437882944 210875765888 421751531776