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10332245504 = 29722912589
BaseRepresentation
bin10011001111101100…
…11000111000000000
3222200001221110021102
421213312120320000
5132130023324004
64425131513532
7514020431510
oct114766307000
928601843242
1010332245504
114422312a79
1220042b88a8
13c88798349
1470032b840
1540713b11e
hex267d98e00

10332245504 has 80 divisors (see below), whose sum is σ = 23698408800. Its totient is φ = 4408418304.

The previous prime is 10332245491. The next prime is 10332245519. The reversal of 10332245504 is 40554223301.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 814442 + ... + 827030.

It is an arithmetic number, because the mean of its divisors is an integer number (296230110).

Almost surely, 210332245504 is an apocalyptic number.

10332245504 is a gapful number since it is divisible by the number (14) 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 10332245504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11849204400).

10332245504 is an abundant number, since it is smaller than the sum of its proper divisors (13366163296).

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

10332245504 is an equidigital number, since it uses as much as digits as its factorization.

10332245504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12843 (or 12827 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 29.

Adding to 10332245504 its reverse (40554223301), we get a palindrome (50886468805).

The spelling of 10332245504 in words is "ten billion, three hundred thirty-two million, two hundred forty-five thousand, five hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 229 256 448 458 512 896 916 1603 1792 1832 3206 3584 3664 6412 7328 12589 12824 14656 25178 25648 29312 50356 51296 58624 88123 100712 102592 117248 176246 201424 205184 352492 402848 410368 704984 805696 820736 1409968 1611392 2819936 2882881 3222784 5639872 5765762 6445568 11279744 11531524 20180167 22559488 23063048 40360334 45118976 46126096 80720668 92252192 161441336 184504384 322882672 369008768 645765344 738017536 1291530688 1476035072 2583061376 5166122752 10332245504