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16003552197136 = 24721428732
BaseRepresentation
bin1110100011100001111000…
…0010110011101000010000
32002122220222001212010010111
43220320132002303220100
54044200233330302021
654011532544011104
73241134641133400
oct350703602635020
962586861763114
1016003552197136
115110083004789
121965719300a94
138c11893cc0ca
143d480c9c6800
151cb450b988e1
hexe8e1e0b3a10

16003552197136 has 45 divisors (see below), whose sum is σ = 36069482984301. Its totient is φ = 6858617222016.

The previous prime is 16003552197133. The next prime is 16003552197161. The reversal of 16003552197136 is 63179125530061.

The square root of 16003552197136 is 4000444.

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

It can be written as a sum of positive squares in only one way, i.e., 14055450883600 + 1948101313536 = 3749060^2 + 1395744^2 .

It is a super-2 number, since 2×160035521971362 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 16003552197136.

It is not an unprimeable number, because it can be changed into a prime (16003552197133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 111940996 + ... + 112083868.

Almost surely, 216003552197136 is an apocalyptic number.

16003552197136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

16003552197136 is the 4000444-th square number.

It is an amenable number.

16003552197136 is an abundant number, since it is smaller than the sum of its proper divisors (20065930787165).

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

16003552197136 is an frugal number, since it uses more digits than its factorization.

16003552197136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285768 (or 142882 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 49.

Multiplying 16003552197136 by its sum of digits (49), we get a square (784174057659664 = 280031082).

16003552197136 divided by its sum of digits (49) gives a square (326603106064 = 5714922).

The spelling of 16003552197136 in words is "sixteen trillion, three billion, five hundred fifty-two million, one hundred ninety-seven thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 49 56 98 112 196 392 784 142873 285746 571492 1000111 1142984 2000222 2285968 4000444 7000777 8000888 14001554 16001776 28003108 56006216 112012432 20412694129 40825388258 81650776516 142888858903 163301553032 285777717806 326603106064 571555435612 1000222012321 1143110871224 2000444024642 2286221742448 4000888049284 8001776098568 16003552197136