Search a number
-
+
5367540750 = 2353111350047
BaseRepresentation
bin1001111111110111…
…00010110000001110
3111212001222022200120
410333323202300032
541443042301000
62244341005410
7250004225565
oct47773426016
914761868616
105367540750
1123049228a0
1210596b3866
13677046a20
1438cc16bdc
152163576a0
hex13fee2c0e

5367540750 has 128 divisors (see below), whose sum is σ = 15739895808. Its totient is φ = 1201104000.

The previous prime is 5367540749. The next prime is 5367540779. The reversal of 5367540750 is 570457635.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

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 63 ways as a sum of consecutive naturals, for example, 82227 + ... + 132273.

It is an arithmetic number, because the mean of its divisors is an integer number (122967936).

Almost surely, 25367540750 is an apocalyptic number.

5367540750 is a gapful number since it is divisible by the number (50) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 5367540750, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7869947904).

5367540750 is an abundant number, since it is smaller than the sum of its proper divisors (10372355058).

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

5367540750 is a wasteful number, since it uses less digits than its factorization.

5367540750 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50091 (or 50081 counting only the distinct ones).

The product of its (nonzero) digits is 441000, while the sum is 42.

The square root of 5367540750 is about 73263.5021685423. The cubic root of 5367540750 is about 1750.8883380996. Note that the first 3 decimals are identical.

The spelling of 5367540750 in words is "five billion, three hundred sixty-seven million, five hundred forty thousand, seven hundred fifty".

Divisors: 1 2 3 5 6 10 11 13 15 22 25 26 30 33 39 50 55 65 66 75 78 110 125 130 143 150 165 195 250 275 286 325 330 375 390 429 550 650 715 750 825 858 975 1375 1430 1625 1650 1950 2145 2750 3250 3575 4125 4290 4875 7150 8250 9750 10725 17875 21450 35750 50047 53625 100094 107250 150141 250235 300282 500470 550517 650611 750705 1101034 1251175 1301222 1501410 1651551 1951833 2502350 2752585 3253055 3303102 3753525 3903666 5505170 6255875 6506110 7156721 7507050 8257755 9759165 12511750 13762925 14313442 16265275 16515510 18767625 19518330 21470163 27525850 32530550 35783605 37535250 41288775 42940326 48795825 68814625 71567210 81326375 82577550 97591650 107350815 137629250 162652750 178918025 206443875 214701630 243979125 357836050 412887750 487958250 536754075 894590125 1073508150 1789180250 2683770375 5367540750