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16158068484100 = 2252232174772
BaseRepresentation
bin1110101100100001011111…
…1011101010100000000100
32010012200210120111210000121
43223020113323222200010
54104213211012442400
654210525244151324
73255244666661134
oct353102773524004
963180716453017
1016158068484100
11516a6644680a4
12198b660538544
139029125383ca
143dc0aa0c2ac4
151d0495ed221a
hexeb217eea804

16158068484100 has 81 divisors (see below), whose sum is σ = 36655866303007. Its totient is φ = 6181863772480.

The previous prime is 16158068484037. The next prime is 16158068484101. The reversal of 16158068484100 is 148486085161.

The square root of 16158068484100 is 4019710.

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 5723204551684 + 10434863932416 = 2392322^2 + 3230304^2 .

It is a super-2 number, since 2×161580684841002 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (16158068484101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 924524562 + ... + 924542038.

Almost surely, 216158068484100 is an apocalyptic number.

16158068484100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

16158068484100 is the 4019710-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 16158068484100

16158068484100 is an abundant number, since it is smaller than the sum of its proper divisors (20497797818907).

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

16158068484100 is an frugal number, since it uses more digits than its factorization.

16158068484100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35014 (or 17507 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 52.

The spelling of 16158068484100 in words is "sixteen trillion, one hundred fifty-eight billion, sixty-eight million, four hundred eighty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 529 575 1058 1150 2116 2300 2645 5290 10580 13225 17477 26450 34954 52900 69908 87385 174770 349540 401971 436925 803942 873850 1607884 1747700 2009855 4019710 8039420 9245333 10049275 18490666 20098550 36981332 40197100 46226665 92453330 184906660 231133325 305445529 462266650 610891058 924533300 1221782116 1527227645 3054455290 6108910580 7025247167 7636138225 14050494334 15272276450 28100988668 30544552900 35126235835 70252471670 140504943340 161580684841 175631179175 323161369682 351262358350 646322739364 702524716700 807903424205 1615806848410 3231613696820 4039517121025 8079034242050 16158068484100