Search a number
-
+
1045522451541 = 329101211356311
BaseRepresentation
bin11110011011011011111…
…11101000110001010101
310200221200020221120022210
433031231333220301111
5114112212221422131
62120150102344033
7135352010130441
oct17155577506125
93627606846283
101045522451541
11373449192577
1214a76742b019
13777914c2cb9
1438864233821
151c2e2ea5146
hexf36dfe8c55

1045522451541 has 32 divisors (see below), whose sum is σ = 1457093272320. Its totient is φ = 665989632000.

The previous prime is 1045522451527. The next prime is 1045522451549. The reversal of 1045522451541 is 1451542255401.

It is a de Polignac number, because none of the positive numbers 2k-1045522451541 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 1045522451541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1045522451549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18538776 + ... + 18595086.

It is an arithmetic number, because the mean of its divisors is an integer number (45534164760).

Almost surely, 21045522451541 is an apocalyptic number.

It is an amenable number.

1045522451541 is a deficient number, since it is larger than the sum of its proper divisors (411570820779).

1045522451541 is a wasteful number, since it uses less digits than its factorization.

1045522451541 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58557.

The product of its (nonzero) digits is 160000, while the sum is 39.

The spelling of 1045522451541 in words is "one trillion, forty-five billion, five hundred twenty-two million, four hundred fifty-one thousand, five hundred forty-one".

Divisors: 1 3 29 87 101 303 2113 2929 6339 8787 56311 61277 168933 183831 213413 640239 1633019 4899057 5687411 6188977 17062233 18566931 118985143 164934919 356955429 494804757 3450569147 10351707441 12017499443 36052498329 348507483847 1045522451541