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4538663532 = 223213191134517
BaseRepresentation
bin1000011101000011…
…01000001001101100
3102201022021222220100
410032201220021230
533243344213112
62030211151100
7220321001124
oct41641501154
912638258810
104538663532
111a19a590a7
12a67ba5490
135743c2c30
14310ad1c84
151b86c92dc
hex10e86826c

4538663532 has 144 divisors (see below), whose sum is σ = 13123524960. Its totient is φ = 1311012864.

The previous prime is 4538663489. The next prime is 4538663543. The reversal of 4538663532 is 2353668354.

4538663532 is a `hidden beast` number, since 4 + 5 + 3 + 8 + 6 + 635 + 3 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1002538 + ... + 1007054.

It is an arithmetic number, because the mean of its divisors is an integer number (91135590).

Almost surely, 24538663532 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 4538663532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6561762480).

4538663532 is an abundant number, since it is smaller than the sum of its proper divisors (8584861428).

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

4538663532 is a wasteful number, since it uses less digits than its factorization.

4538663532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4672 (or 4667 counting only the distinct ones).

The product of its digits is 1555200, while the sum is 45.

The square root of 4538663532 is about 67369.6039174938. The cubic root of 4538663532 is about 1655.6784496099.

The spelling of 4538663532 in words is "four billion, five hundred thirty-eight million, six hundred sixty-three thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 113 114 117 156 171 226 228 234 247 339 342 452 468 494 678 684 741 988 1017 1356 1469 1482 2034 2147 2223 2938 2964 4068 4294 4407 4446 4517 5876 6441 8588 8814 8892 9034 12882 13221 13551 17628 18068 19323 25764 26442 27102 27911 38646 40653 52884 54204 55822 58721 77292 81306 83733 85823 111644 117442 162612 167466 171646 176163 234884 251199 257469 334932 343292 352326 502398 510421 514938 528489 704652 772407 1004796 1020842 1029876 1056978 1115699 1531263 1544814 2041684 2113956 2231398 3062526 3089628 3347097 4462796 4593789 6125052 6635473 6694194 9187578 9697999 10041291 13270946 13388388 18375156 19395998 19906419 20082582 26541892 29093997 38791996 39812838 40165164 58187994 59719257 79625676 87281991 116375988 119438514 126073987 174563982 238877028 252147974 349127964 378221961 504295948 756443922 1134665883 1512887844 2269331766 4538663532