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10541136664 = 239719968261
BaseRepresentation
bin10011101000100110…
…01111101100011000
31000012122000020002001
421310103033230120
5133042012333124
64501553050344
7522135116602
oct116423175430
930178006061
1010541136664
11451a218aa3
1220622569b4
13cbcb46596
1471dd86172
1541a64eb44
hex2744cfb18

10541136664 has 32 divisors (see below), whose sum is σ = 20069028000. Its totient is φ = 5189944320.

The previous prime is 10541136629. The next prime is 10541136667. The reversal of 10541136664 is 46663114501.

10541136664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×105411366642 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10541136667) 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 7 ways as a sum of consecutive naturals, for example, 120294 + ... + 188554.

It is an arithmetic number, because the mean of its divisors is an integer number (627157125).

Almost surely, 210541136664 is an apocalyptic number.

It is an amenable number.

10541136664 is a deficient number, since it is larger than the sum of its proper divisors (9527891336).

10541136664 is a wasteful number, since it uses less digits than its factorization.

10541136664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68563 (or 68559 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 10541136664 in words is "ten billion, five hundred forty-one million, one hundred thirty-six thousand, six hundred sixty-four".

Divisors: 1 2 4 8 97 194 199 388 398 776 796 1592 19303 38606 68261 77212 136522 154424 273044 546088 6621317 13242634 13583939 26485268 27167878 52970536 54335756 108671512 1317642083 2635284166 5270568332 10541136664