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422427122432 = 287823286427
BaseRepresentation
bin1100010010110101001…
…11100101101100000000
31111101100200011020021222
412021122213211230000
523410112320404212
6522021011134212
742343065203420
oct6113247455400
91441320136258
10422427122432
11153172109427
1269a51ba4368
1330ab0b09ba3
1416634968480
15aec5796c72
hex625a9e5b00

422427122432 has 72 divisors (see below), whose sum is σ = 964836155136. Its totient is φ = 180819588096.

The previous prime is 422427122419. The next prime is 422427122443. The reversal of 422427122432 is 234221724224.

It is a junction number, because it is equal to n+sod(n) for n = 422427122392 and 422427122401.

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 7 ways as a sum of consecutive naturals, for example, 1331603 + ... + 1618029.

Almost surely, 2422427122432 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 422427122432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (482418077568).

422427122432 is an abundant number, since it is smaller than the sum of its proper divisors (542409032704).

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

422427122432 is an equidigital number, since it uses as much as digits as its factorization.

422427122432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287273 (or 287259 counting only the distinct ones).

The product of its digits is 86016, while the sum is 35.

Adding to 422427122432 its reverse (234221724224), we get a palindrome (656648846656).

The spelling of 422427122432 in words is "four hundred twenty-two billion, four hundred twenty-seven million, one hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 823 896 1646 1792 3292 5761 6584 11522 13168 23044 26336 46088 52672 92176 105344 184352 210688 286427 368704 572854 737408 1145708 1474816 2004989 2291416 4009978 4582832 8019956 9165664 16039912 18331328 32079824 36662656 64159648 73325312 128319296 235729421 256638592 471458842 513277184 942917684 1650105947 1885835368 3300211894 3771670736 6600423788 7543341472 13200847576 15086682944 26401695152 30173365888 52803390304 60346731776 105606780608 211213561216 422427122432