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5329461870 = 2325371798941
BaseRepresentation
bin1001111011010100…
…10010001001101110
3111202102022201021200
410331222102021232
541403320234440
62240500510330
7246032451465
oct47552221156
914672281250
105329461870
112295384647
1210489ab3a6
1366c1a3745
14387b439dc
15212d34c30
hex13da9226e

5329461870 has 96 divisors (see below), whose sum is σ = 14312207520. Its totient is φ = 1374900480.

The previous prime is 5329461803. The next prime is 5329461877. The reversal of 5329461870 is 781649235.

5329461870 is a `hidden beast` number, since 5 + 3 + 29 + 4 + 618 + 7 + 0 = 666.

5329461870 is digitally balanced in base 10, because in such base it contains all the possibile digits an equal number of times.

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

5329461870 is strictly pandigital in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5329461877) 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 47 ways as a sum of consecutive naturals, for example, 591600 + ... + 600540.

It is an arithmetic number, because the mean of its divisors is an integer number (149085495).

It is a 2-persistent number, because it is pandigital, and so is 2⋅5329461870 = 10658923740, but 3⋅5329461870 = 15988385610 is not.

Almost surely, 25329461870 is an apocalyptic number.

5329461870 is the 59607-th pentagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5329461870, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7156103760).

5329461870 is an abundant number, since it is smaller than the sum of its proper divisors (8982745650).

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

5329461870 is a wasteful number, since it uses less digits than its factorization.

5329461870 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9170 (or 9167 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The square root of 5329461870 is about 73003.1634246078. The cubic root of 5329461870 is about 1746.7380727967.

The spelling of 5329461870 in words is "five billion, three hundred twenty-nine million, four hundred sixty-one thousand, eight hundred seventy".

Divisors: 1 2 3 5 6 9 10 15 18 30 37 45 74 90 111 179 185 222 333 358 370 537 555 666 895 1074 1110 1611 1665 1790 2685 3222 3330 5370 6623 8055 8941 13246 16110 17882 19869 26823 33115 39738 44705 53646 59607 66230 80469 89410 99345 119214 134115 160938 198690 268230 298035 330817 402345 596070 661634 804690 992451 1600439 1654085 1984902 2977353 3200878 3308170 4801317 4962255 5954706 8002195 9602634 9924510 14403951 14886765 16004390 24006585 28807902 29773530 48013170 59216243 72019755 118432486 144039510 177648729 296081215 355297458 532946187 592162430 888243645 1065892374 1776487290 2664730935 5329461870