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5481120528 = 2433132933331
BaseRepresentation
bin1010001101011001…
…10100001100010000
3112010222200202212000
411012230310030100
542211131324103
62303515234000
7252553520142
oct50654641420
915128622760
105481120528
112362a49a84
12108b748900
136947335b0
1439dd40c92
152212e0aa3
hex146b34310

5481120528 has 160 divisors (see below), whose sum is σ = 17005994880. Its totient is φ = 1680238080.

The previous prime is 5481120503. The next prime is 5481120563. The reversal of 5481120528 is 8250211845.

5481120528 is a `hidden beast` number, since 5 + 4 + 8 + 1 + 120 + 528 = 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 = 5481120492 and 5481120501.

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 31 ways as a sum of consecutive naturals, for example, 1643823 + ... + 1647153.

It is an arithmetic number, because the mean of its divisors is an integer number (106287468).

Almost surely, 25481120528 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 5481120528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8502997440).

5481120528 is an abundant number, since it is smaller than the sum of its proper divisors (11524874352).

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

5481120528 is a wasteful number, since it uses less digits than its factorization.

5481120528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3654 (or 3642 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The square root of 5481120528 is about 74034.5900778818. The cubic root of 5481120528 is about 1763.1521215657.

The spelling of 5481120528 in words is "five billion, four hundred eighty-one million, one hundred twenty thousand, five hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 293 312 351 432 468 586 624 702 879 936 1172 1404 1758 1872 2344 2637 2808 3331 3516 3809 4688 5274 5616 6662 7032 7618 7911 9993 10548 11427 13324 14064 15236 15822 19986 21096 22854 26648 29979 30472 31644 34281 39972 42192 43303 45708 53296 59958 60944 63288 68562 79944 86606 89937 91416 102843 119916 126576 129909 137124 159888 173212 179874 182832 205686 239832 259818 274248 346424 359748 389727 411372 479664 519636 548496 692848 719496 779454 822744 975983 1039272 1169181 1438992 1558908 1645488 1951966 2078544 2338362 2927949 3117816 3903932 4676724 5855898 6235632 7807864 8783847 9353448 11711796 12687779 15615728 17567694 18706896 23423592 25375558 26351541 35135388 38063337 46847184 50751116 52703082 70270776 76126674 101502232 105406164 114190011 140541552 152253348 203004464 210812328 228380022 304506696 342570033 421624656 456760044 609013392 685140066 913520088 1370280132 1827040176 2740560264 5481120528