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1669532746816 = 26112146832
BaseRepresentation
bin11000010010110111111…
…010000000010001000000
312220121100121101222222101
4120102313322000101000
5204323200340344231
63314550040520144
7231422402125354
oct30226772002100
95817317358871
101669532746816
11594054790300
1222b697180054
13c15896128cc
145ab3d233464
152d665b99661
hex184b7e80440

1669532746816 has 63 divisors (see below), whose sum is σ = 3641786977143. Its totient is φ = 758826837120.

The previous prime is 1669532746801. The next prime is 1669532746823. The reversal of 1669532746816 is 6186472359661.

The square root of 1669532746816 is 1292104.

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

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 113697811 + ... + 113712493.

Almost surely, 21669532746816 is an apocalyptic number.

1669532746816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1669532746816 is the 1292104-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1669532746816

1669532746816 is an abundant number, since it is smaller than the sum of its proper divisors (1972254230327).

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

1669532746816 is an frugal number, since it uses more digits than its factorization.

1669532746816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29400 (or 14696 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

Multiplying 1669532746816 by its sum of digits (64), we get a square (106850095796224 = 103368322).

1669532746816 divided by its sum of digits (64) gives a square (26086449169 = 1615132).

The spelling of 1669532746816 in words is "one trillion, six hundred sixty-nine billion, five hundred thirty-two million, seven hundred forty-six thousand, eight hundred sixteen".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 176 242 352 484 704 968 1936 3872 7744 14683 29366 58732 117464 161513 234928 323026 469856 646052 939712 1292104 1776643 2584208 3553286 5168416 7106572 10336832 14213144 28426288 56852576 113705152 215590489 431180978 862361956 1724723912 2371495379 3449447824 4742990758 6898895648 9485981516 13797791296 18971963032 26086449169 37943926064 52172898338 75887852128 104345796676 151775704256 208691593352 417383186704 834766373408 1669532746816