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5536048752 = 2432135934987
BaseRepresentation
bin1010010011111100…
…10110011001110000
3112021211001102012200
411021332112121300
542314212030002
62313200423200
7254121431553
oct51176263160
915254042180
105536048752
112390a56403
1210a6017b00
136a2c25bc0
143a735c69a
15226040b1c
hex149f96670

5536048752 has 120 divisors (see below), whose sum is σ = 16716523824. Its totient is φ = 1700186112.

The previous prime is 5536048741. The next prime is 5536048787. The reversal of 5536048752 is 2578406355.

5536048752 is a `hidden beast` number, since 5 + 536 + 0 + 48 + 75 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5536048698 and 5536048707.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 1107603 + ... + 1112589.

Almost surely, 25536048752 is an apocalyptic number.

5536048752 is a gapful number since it is divisible by the number (52) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5536048752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8358261912).

5536048752 is an abundant number, since it is smaller than the sum of its proper divisors (11180475072).

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

5536048752 is a wasteful number, since it uses less digits than its factorization.

5536048752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5607 (or 5598 counting only the distinct ones).

The product of its (nonzero) digits is 1008000, while the sum is 45.

The square root of 5536048752 is about 74404.6285657015. The cubic root of 5536048752 is about 1769.0222772174.

The spelling of 5536048752 in words is "five billion, five hundred thirty-six million, forty-eight thousand, seven hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 36 39 48 52 72 78 104 117 144 156 208 234 312 468 593 624 936 1186 1779 1872 2372 3558 4744 4987 5337 7116 7709 9488 9974 10674 14232 14961 15418 19948 21348 23127 28464 29922 30836 39896 42696 44883 46254 59844 61672 64831 69381 79792 85392 89766 92508 119688 123344 129662 138762 179532 185016 194493 239376 259324 277524 359064 370032 388986 518648 555048 583479 718128 777972 1037296 1110096 1166958 1555944 2333916 2957291 3111888 4667832 5914582 8871873 9335664 11829164 17743746 23658328 26615619 35487492 38444783 47316656 53231238 70974984 76889566 106462476 115334349 141949968 153779132 212924952 230668698 307558264 346003047 425849904 461337396 615116528 692006094 922674792 1384012188 1845349584 2768024376 5536048752