Search a number
-
+
6541211730 = 23523311032969
BaseRepresentation
bin1100001011110001…
…01111100001010010
3121212212102222121010
412011320233201102
5101344022233410
63001024511350
7321045245064
oct60570574122
917785388533
106541211730
112857386209
12132677b556
138032500b1
14460a51734
152843e1c20
hex185e2f852

6541211730 has 128 divisors (see below), whose sum is σ = 17079828480. Its totient is φ = 1598446080.

The previous prime is 6541211687. The next prime is 6541211749. The reversal of 6541211730 is 371121456.

6541211730 is digitally balanced in base 5, 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 (30).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2201686 + ... + 2204654.

It is an arithmetic number, because the mean of its divisors is an integer number (133436160).

Almost surely, 26541211730 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6541211730, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8539914240).

6541211730 is an abundant number, since it is smaller than the sum of its proper divisors (10538616750).

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

6541211730 is a wasteful number, since it uses less digits than its factorization.

6541211730 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3136.

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 6541211730 is about 80877.7579437017. The cubic root of 6541211730 is about 1870.1914576103.

The spelling of 6541211730 in words is "six billion, five hundred forty-one million, two hundred eleven thousand, seven hundred thirty".

Divisors: 1 2 3 5 6 10 15 23 30 31 46 62 69 93 103 115 138 155 186 206 230 309 310 345 465 515 618 690 713 930 1030 1426 1545 2139 2369 2969 3090 3193 3565 4278 4738 5938 6386 7107 7130 8907 9579 10695 11845 14214 14845 15965 17814 19158 21390 23690 29690 31930 35535 44535 47895 68287 71070 73439 89070 92039 95790 136574 146878 184078 204861 220317 276117 305807 341435 367195 409722 440634 460195 552234 611614 682870 734390 917421 920390 1024305 1101585 1380585 1529035 1834842 2048610 2116897 2203170 2761170 3058070 4233794 4587105 6350691 7033561 9174210 9480017 10584485 12701382 14067122 18960034 21100683 21168970 28440051 31753455 35167805 42201366 47400085 56880102 63506910 70335610 94800170 105503415 142200255 211006830 218040391 284400510 436080782 654121173 1090201955 1308242346 2180403910 3270605865 6541211730