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422489187584 = 2817113859109
BaseRepresentation
bin1100010010111100101…
…00010110010100000000
31111101111222221110200022
412021132110112110000
523410224213000314
6522031105313012
742344450561402
oct6113624262400
91441458843608
10422489187584
111531a414a942
1269a6a935768
1330ac092ab29
141663ccc2b72
15aecae5678e
hex625e516500

422489187584 has 72 divisors (see below), whose sum is σ = 900838690920. Its totient is φ = 197058756608.

The previous prime is 422489187583. The next prime is 422489187587. The reversal of 422489187584 is 485781984224.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 98646246400 + 323842941184 = 314080^2 + 569072^2 .

It is a super-2 number, since 2×4224891875842 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (422489187583) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 62222 + ... + 921330.

It is an arithmetic number, because the mean of its divisors is an integer number (12511648485).

Almost surely, 2422489187584 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 422489187584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (450419345460).

422489187584 is an abundant number, since it is smaller than the sum of its proper divisors (478349503336).

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

422489187584 is a wasteful number, since it uses less digits than its factorization.

422489187584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 859255 (or 859241 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 62.

The spelling of 422489187584 in words is "four hundred twenty-two billion, four hundred eighty-nine million, one hundred eighty-seven thousand, five hundred eighty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 113 128 136 226 256 272 452 544 904 1088 1808 1921 2176 3616 3842 4352 7232 7684 14464 15368 28928 30736 61472 122944 245888 491776 859109 1718218 3436436 6872872 13745744 14604853 27491488 29209706 54982976 58419412 97079317 109965952 116838824 194158634 219931904 233677648 388317268 467355296 776634536 934710592 1553269072 1650348389 1869421184 3106538144 3300696778 3738842368 6213076288 6601393556 12426152576 13202787112 24852305152 26405574224 52811148448 105622296896 211244593792 422489187584