Search a number
-
+
5304535430544 = 2432727131939711
BaseRepresentation
bin100110100110000111011…
…1100110011010110010000
3200210002221012020220020100
41031030032330303112100
51143402142032234134
615140511523412400
71055145222132210
oct115141674632620
920702835226210
105304535430544
111765705a63969
1271807a224100
132c62a572338c
14144a52db8240
1592eb316b999
hex4d30ef33590

5304535430544 has 120 divisors (see below), whose sum is σ = 16972355858432. Its totient is φ = 1515022133760.

The previous prime is 5304535430527. The next prime is 5304535430549. The reversal of 5304535430544 is 4450345354035.

5304535430544 is a `hidden beast` number, since 5 + 3 + 0 + 4 + 53 + 54 + 3 + 0 + 544 = 666.

It is a super-2 number, since 2×53045354305442 (a number of 26 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 5304535430544.

It is not an unprimeable number, because it can be changed into a prime (5304535430549) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1764849 + ... + 3704559.

Almost surely, 25304535430544 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5304535430544, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8486177929216).

5304535430544 is an abundant number, since it is smaller than the sum of its proper divisors (11667820427888).

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

5304535430544 is a wasteful number, since it uses less digits than its factorization.

5304535430544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1942445 (or 1942436 counting only the distinct ones).

The product of its (nonzero) digits is 4320000, while the sum is 45.

The spelling of 5304535430544 in words is "five trillion, three hundred four billion, five hundred thirty-five million, four hundred thirty thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 2713 5426 8139 10852 16278 18991 21704 24417 32556 37982 43408 48834 56973 65112 75964 97668 113946 130224 151928 170919 195336 227892 303856 341838 390672 455784 683676 911568 1367352 1939711 2734704 3879422 5819133 7758844 11638266 13577977 15517688 17457399 23276532 27155954 31035376 34914798 40733931 46553064 54311908 69829596 81467862 93106128 108623816 122201793 139659192 162935724 217247632 244403586 279318384 325871448 488807172 651742896 977614344 1955228688 5262435943 10524871886 15787307829 21049743772 31574615658 36837051601 42099487544 47361923487 63149231316 73674103202 84198975088 94723846974 110511154803 126298462632 147348206404 189447693948 221022309606 252596925264 294696412808 331533464409 378895387896 442044619212 589392825616 663066928818 757790775792 884089238424 1326133857636 1768178476848 2652267715272 5304535430544