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4522660144 = 2417413071321
BaseRepresentation
bin1000011011001001…
…00101000100110000
3102200012011221101021
410031210211010300
533230300111034
62024440145224
7220034656042
oct41544450460
912605157337
104522660144
111a10a18562
12a62768214
13570cab982
1430c927a92
151b70b76b4
hex10d925130

4522660144 has 80 divisors (see below), whose sum is σ = 9542576736. Its totient is φ = 2068070400.

The previous prime is 4522660139. The next prime is 4522660157. The reversal of 4522660144 is 4410662254.

It is a super-2 number, since 2×45226601442 = 40908909556252201472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3423004 + ... + 3424324.

Almost surely, 24522660144 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 4522660144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4771288368).

4522660144 is an abundant number, since it is smaller than the sum of its proper divisors (5019916592).

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

4522660144 is a wasteful number, since it uses less digits than its factorization.

4522660144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1688 counting only the distinct ones).

The product of its (nonzero) digits is 46080, while the sum is 34.

The square root of 4522660144 is about 67250.7259737767. The cubic root of 4522660144 is about 1653.7301765196.

The spelling of 4522660144 in words is "four billion, five hundred twenty-two million, six hundred sixty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 41 68 82 136 164 272 307 328 614 656 697 1228 1321 1394 2456 2642 2788 4912 5219 5284 5576 10438 10568 11152 12587 20876 21136 22457 25174 41752 44914 50348 54161 83504 89828 100696 108322 179656 201392 213979 216644 359312 405547 427958 433288 811094 855916 866576 920737 1622188 1711832 1841474 3244376 3423664 3682948 6488752 6894299 7365896 13788598 14731792 16627427 27577196 33254854 55154392 66509708 110308784 133019416 266038832 282666259 565332518 1130665036 2261330072 4522660144