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5303520760048 = 2472103547120067
BaseRepresentation
bin100110100101101001001…
…1110001001000011110000
3200210000022110222021222121
41031023102132021003300
51143343102303310143
615140223115444024
71055111121440200
oct115132236110360
920700273867877
105303520760048
11176523522aa05
12717a36456614
132c617344a834
1414499832c400
1592e5403d7ed
hex4d2d27890f0

5303520760048 has 120 divisors (see below), whose sum is σ = 12091431610752. Its totient is φ = 2246736465792.

The previous prime is 5303520759941. The next prime is 5303520760063. The reversal of 5303520760048 is 8400670253035.

It is a junction number, because it is equal to n+sod(n) for n = 5303520759986 and 5303520760013.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 44111311 + ... + 44231377.

Almost surely, 25303520760048 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 5303520760048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6045715805376).

5303520760048 is an abundant number, since it is smaller than the sum of its proper divisors (6787910850704).

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

5303520760048 is a wasteful number, since it uses less digits than its factorization.

5303520760048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120739 (or 120726 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 43.

The spelling of 5303520760048 in words is "five trillion, three hundred three billion, five hundred twenty million, seven hundred sixty thousand, forty-eight".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 103 112 196 206 392 412 547 721 784 824 1094 1442 1648 2188 2884 3829 4376 5047 5768 7658 8752 10094 11536 15316 20188 26803 30632 40376 53606 56341 61264 80752 107212 112682 120067 214424 225364 240134 394387 428848 450728 480268 788774 840469 901456 960536 1577548 1680938 1921072 2760709 3155096 3361876 5521418 5883283 6310192 6723752 11042836 11766566 12366901 13447504 22085672 23533132 24733802 44171344 47066264 49467604 65676649 86568307 94132528 98935208 131353298 173136614 197870416 262706596 346273228 459736543 525413192 605978149 692546456 919473086 1050826384 1211956298 1385092912 1838946172 2423912596 3218155801 3677892344 4847825192 6436311602 6764694847 7355784688 9695650384 12872623204 13529389694 25745246408 27058779388 47352863929 51490492816 54117558776 94705727858 108235117552 189411455716 331470047503 378822911432 662940095006 757645822864 1325880190012 2651760380024 5303520760048