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5661600524560 = 245891553512021
BaseRepresentation
bin101001001100011000110…
…1100000010100100010000
3202001020120200020001121001
41102120301230002210100
51220224424213241220
620012523043511344
71123015511301211
oct122306154024420
922036520201531
105661600524560
111893086997992
1277530a688554
13320b6ac393b6
14158046cad408
159c41059680a
hex52631b02910

5661600524560 has 80 divisors (see below), whose sum is σ = 13319719827120. Its totient is φ = 2237748592640.

The previous prime is 5661600524539. The next prime is 5661600524623. The reversal of 5661600524560 is 654250061665.

It can be written as a sum of positive squares in 8 ways, for example, as 222033209616 + 5439567314944 = 471204^2 + 2332288^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 5661600524560.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10801350 + ... + 11313370.

It is an arithmetic number, because the mean of its divisors is an integer number (166496497839).

Almost surely, 25661600524560 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 5661600524560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6659859913560).

5661600524560 is an abundant number, since it is smaller than the sum of its proper divisors (7658119302560).

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

5661600524560 is a wasteful number, since it uses less digits than its factorization.

5661600524560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 513676 (or 513670 counting only the distinct ones).

The product of its (nonzero) digits is 1296000, while the sum is 46.

The spelling of 5661600524560 in words is "five trillion, six hundred sixty-one billion, six hundred million, five hundred twenty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 40 80 89 178 356 445 712 890 1424 1553 1780 3106 3560 6212 7120 7765 12424 15530 24848 31060 62120 124240 138217 276434 512021 552868 691085 1024042 1105736 1382170 2048084 2211472 2560105 2764340 4096168 5120210 5528680 8192336 10240420 11057360 20480840 40961680 45569869 91139738 182279476 227849345 364558952 455698690 729117904 795168613 911397380 1590337226 1822794760 3180674452 3645589520 3975843065 6361348904 7951686130 12722697808 15903372260 31806744520 63613489040 70770006557 141540013114 283080026228 353850032785 566160052456 707700065570 1132320104912 1415400131140 2830800262280 5661600524560