Search a number
-
+
11324517196864 = 26401210492
BaseRepresentation
bin1010010011001011000111…
…0100110010010001000000
31111002121120002000100110211
42210302301310302101000
52441020102400244424
640030224505203504
72246112043636024
oct244626164622100
944077502010424
1011324517196864
113676778801083
12132a925a90594
13641b88745631
142b21768a4384
1514989b46cb94
hexa4cb1d32440

11324517196864 has 63 divisors (see below), whose sum is σ = 22549765105231. Its totient is φ = 5642753945600.

The previous prime is 11324517196789. The next prime is 11324517196897. The reversal of 11324517196864 is 46869171542311.

The square root of 11324517196864 is 3365192.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 9525914342464 + 1798602854400 = 3086408^2 + 1341120^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 11324517196799 and 11324517196808.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 10795535412 + ... + 10795536460.

Almost surely, 211324517196864 is an apocalyptic number.

11324517196864 is the 3365192-nd square number.

It is an amenable number.

11324517196864 is a deficient number, since it is larger than the sum of its proper divisors (11225247908367).

11324517196864 is an frugal number, since it uses more digits than its factorization.

11324517196864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2912 (or 1452 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 58.

The spelling of 11324517196864 in words is "eleven trillion, three hundred twenty-four billion, five hundred seventeen million, one hundred ninety-six thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 16 32 64 401 802 1049 1604 2098 3208 4196 6416 8392 12832 16784 25664 33568 67136 160801 321602 420649 643204 841298 1100401 1286408 1682596 2200802 2572816 3365192 4401604 5145632 6730384 8803208 10291264 13460768 17606416 26921536 35212832 70425664 168680249 337360498 441260801 674720996 882521602 1349441992 1765043204 2698883984 3530086408 5397767968 7060172816 10795535936 14120345632 28240691264 176945581201 353891162402 707782324804 1415564649608 2831129299216 5662258598432 11324517196864