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1543920562116 = 223241250512
BaseRepresentation
bin10110011101111000110…
…101100010111111000100
312110121010110220212101100
4112131320311202333010
5200243422130441431
63141133423500100
7216354535150422
oct26357065427704
95417113825340
101543920562116
115458559a8809
1220b27ba57630
13b278b7c5cba
1454a247d0112
152a2631644e6
hex16778d62fc4

1543920562116 has 81 divisors (see below), whose sum is σ = 4000989366829. Its totient is φ = 501988584000.

The previous prime is 1543920562111. The next prime is 1543920562141. The reversal of 1543920562116 is 6112650293451.

It is a happy number.

The square root of 1543920562116 is 1242546.

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

1543920562116 is a `hidden beast` number, since 1 + 5 + 4 + 3 + 9 + 2 + 0 + 5 + 621 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 74394744516 + 1469525817600 = 272754^2 + 1212240^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1543920562111) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 305663791 + ... + 305668841.

Almost surely, 21543920562116 is an apocalyptic number.

1543920562116 is the 1242546-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1543920562116

1543920562116 is an abundant number, since it is smaller than the sum of its proper divisors (2457068804713).

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

1543920562116 is an frugal number, since it uses more digits than its factorization.

1543920562116 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10194 (or 5097 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1543920562116 in words is "one trillion, five hundred forty-three billion, nine hundred twenty million, five hundred sixty-two thousand, one hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 41 82 123 164 246 369 492 738 1476 1681 3362 5043 5051 6724 10086 10102 15129 15153 20172 20204 30258 30306 45459 60516 60612 90918 181836 207091 414182 621273 828364 1242546 1863819 2485092 3727638 7455276 8490731 16981462 25472193 25512601 33962924 50944386 51025202 76416579 76537803 101888772 102050404 152833158 153075606 229613409 305666316 306151212 459226818 918453636 1046016641 2092033282 3138049923 4184066564 6276099846 9414149769 12552199692 18828299538 37656599076 42886682281 85773364562 128660046843 171546729124 257320093686 385980140529 514640187372 771960281058 1543920562116