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5352540024 = 23313103193863
BaseRepresentation
bin1001111110000100…
…10100011101111000
3111211000202012120010
410333002110131320
541430222240044
62243043301520
7246432560646
oct47702243570
914730665503
105352540024
1122a74075a7
12105467a8a0
13673bc3c60
1438ac30196
15214d92bb9
hex13f094778

5352540024 has 128 divisors (see below), whose sum is σ = 14642933760. Its totient is φ = 1620615168.

The previous prime is 5352540023. The next prime is 5352540077. The reversal of 5352540024 is 4200452535.

It is a junction number, because it is equal to n+sod(n) for n = 5352539973 and 5352540000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5352540023) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 6201817 + ... + 6202679.

It is an arithmetic number, because the mean of its divisors is an integer number (114397920).

Almost surely, 25352540024 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 5352540024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7321466880).

5352540024 is an abundant number, since it is smaller than the sum of its proper divisors (9290393736).

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

5352540024 is a wasteful number, since it uses less digits than its factorization.

5352540024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1181 (or 1177 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

The square root of 5352540024 is about 73161.0553778443. The cubic root of 5352540024 is about 1749.2557405520.

Adding to 5352540024 its reverse (4200452535), we get a palindrome (9552992559).

The spelling of 5352540024 in words is "five billion, three hundred fifty-two million, five hundred forty thousand, twenty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 103 104 156 193 206 309 312 386 412 579 618 772 824 863 1158 1236 1339 1544 1726 2316 2472 2509 2589 2678 3452 4017 4632 5018 5178 5356 6904 7527 8034 10036 10356 10712 11219 15054 16068 19879 20072 20712 22438 30108 32136 33657 39758 44876 59637 60216 67314 79516 88889 89752 119274 134628 159032 166559 177778 238548 258427 266667 269256 333118 355556 477096 499677 516854 533334 666236 711112 775281 999354 1033708 1066668 1155557 1332472 1550562 1998708 2067416 2133336 2165267 2311114 3101124 3466671 3997416 4330534 4622228 6202248 6495801 6933342 8661068 9244456 12991602 13866684 17155577 17322136 25983204 27733368 34311154 51466731 51966408 68622308 102933462 137244616 205866924 223022501 411733848 446045002 669067503 892090004 1338135006 1784180008 2676270012 5352540024