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5532145344 = 263311291043
BaseRepresentation
bin1010010011011110…
…11101011011000000
3112021112201002202000
411021233131123000
542312212122334
62312541024000
7254043313425
oct51157353300
915245632660
105532145344
11238982a750
1210a4855000
136a218a2ab
143a6a23d4c
15225a1e299
hex149bdd6c0

5532145344 has 112 divisors (see below), whose sum is σ = 17742042240. Its totient is φ = 1676401920.

The previous prime is 5532145337. The next prime is 5532145361. The reversal of 5532145344 is 4435412355.

5532145344 is a `hidden beast` number, since 553 + 2 + 14 + 53 + 44 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 5532145299 and 5532145308.

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 15 ways as a sum of consecutive naturals, for example, 126514 + ... + 164529.

Almost surely, 25532145344 is an apocalyptic number.

5532145344 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

5532145344 is an abundant number, since it is smaller than the sum of its proper divisors (12209896896).

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

5532145344 is a wasteful number, since it uses less digits than its factorization.

5532145344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291075 (or 291059 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

The square root of 5532145344 is about 74378.3929915133. The cubic root of 5532145344 is about 1768.6064066459.

Adding to 5532145344 its reverse (4435412355), we get a palindrome (9967557699).

The spelling of 5532145344 in words is "five billion, five hundred thirty-two million, one hundred forty-five thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 64 66 72 88 96 99 108 132 144 176 192 198 216 264 288 297 352 396 432 528 576 594 704 792 864 1056 1188 1584 1728 2112 2376 3168 4752 6336 9504 19008 291043 582086 873129 1164172 1746258 2328344 2619387 3201473 3492516 4656688 5238774 6402946 6985032 7858161 9313376 9604419 10477548 12805892 13970064 15716322 18626752 19208838 20955096 25611784 27940128 28813257 31432644 38417676 41910192 51223568 55880256 57626514 62865288 76835352 83820384 86439771 102447136 115253028 125730576 153670704 167640768 172879542 204894272 230506056 251461152 307341408 345759084 461012112 502922304 614682816 691518168 922024224 1383036336 1844048448 2766072672 5532145344