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10144454272 = 272917315797
BaseRepresentation
bin10010111001010100…
…00001011010000000
3222011222120200010121
421130222001122000
5131233440014042
64354342510024
7506250303301
oct113452013200
928158520117
1010144454272
114336309707
121b71435314
13c588c7084
146c34067a8
153e58e4367
hex25ca81680

10144454272 has 64 divisors (see below), whose sum is σ = 21028717800. Its totient is φ = 4868706304.

The previous prime is 10144454239. The next prime is 10144454321. The reversal of 10144454272 is 27245444101.

It can be written as a sum of positive squares in 4 ways, for example, as 10139684416 + 4769856 = 100696^2 + 2184^2 .

It is a tau number, because it is divible by the number of its divisors (64).

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, 634278 + ... + 650074.

Almost surely, 210144454272 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 10144454272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10514358900).

10144454272 is an abundant number, since it is smaller than the sum of its proper divisors (10884263528).

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

10144454272 is a wasteful number, since it uses less digits than its factorization.

10144454272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16013 (or 16001 counting only the distinct ones).

The product of its (nonzero) digits is 35840, while the sum is 34.

Adding to 10144454272 its reverse (27245444101), we get a palindrome (37389898373).

The spelling of 10144454272 in words is "ten billion, one hundred forty-four million, four hundred fifty-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 173 232 346 464 692 928 1384 1856 2768 3712 5017 5536 10034 11072 15797 20068 22144 31594 40136 63188 80272 126376 160544 252752 321088 458113 505504 642176 916226 1011008 1832452 2022016 2732881 3664904 5465762 7329808 10931524 14659616 21863048 29319232 43726096 58638464 79253549 87452192 158507098 174904384 317014196 349808768 634028392 1268056784 2536113568 5072227136 10144454272