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5359504860 = 2233587711317
BaseRepresentation
bin1001111110111001…
…11000110111011100
3111211111212001112000
410333130320313130
541434013123420
62243452442300
7246546016413
oct47734706734
914744761460
105359504860
112300334366
121056a79390
13675492168
1438bb2447a
152157bb690
hex13f738ddc

5359504860 has 96 divisors (see below), whose sum is σ = 16694502720. Its totient is φ = 1427445504.

The previous prime is 5359504841. The next prime is 5359504879. The reversal of 5359504860 is 684059535.

5359504860 is a `hidden beast` number, since 53 + 595 + 0 + 4 + 8 + 6 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (5359504841) and next prime (5359504879).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 467922 + ... + 479238.

It is an arithmetic number, because the mean of its divisors is an integer number (173901070).

Almost surely, 25359504860 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 5359504860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8347251360).

5359504860 is an abundant number, since it is smaller than the sum of its proper divisors (11334997860).

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

5359504860 is a wasteful number, since it uses less digits than its factorization.

5359504860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12212 (or 12204 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The square root of 5359504860 is about 73208.6392442859. The cubic root of 5359504860 is about 1750.0141343076.

The spelling of 5359504860 in words is "five billion, three hundred fifty-nine million, five hundred four thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 877 1754 2631 3508 4385 5262 7893 8770 10524 11317 13155 15786 17540 22634 23679 26310 31572 33951 39465 45268 47358 52620 56585 67902 78930 94716 101853 113170 118395 135804 157860 169755 203706 226340 236790 305559 339510 407412 473580 509265 611118 679020 1018530 1222236 1527795 2037060 3055590 6111180 9925009 19850018 29775027 39700036 49625045 59550054 89325081 99250090 119100108 148875135 178650162 198500180 267975243 297750270 357300324 446625405 535950486 595500540 893250810 1071900972 1339876215 1786501620 2679752430 5359504860