Search a number
-
+
1666796768 = 257131274507
BaseRepresentation
bin110001101011001…
…0100110011100000
311022011101001022122
41203112110303200
511403144444033
6433221123412
756206352540
oct14326246340
94264331278
101666796768
1178595509a
123a6259568
132074225a0
1411b521320
159b4e5a98
hex63594ce0

1666796768 has 96 divisors (see below), whose sum is σ = 4071481344. Its totient is φ = 654054912.

The previous prime is 1666796753. The next prime is 1666796783. The reversal of 1666796768 is 8676976661.

It is an interprime number because it is at equal distance from previous prime (1666796753) and next prime (1666796783).

It is a super-2 number, since 2×16667967682 = 5556422931630491648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1666796768.

It is a congruent number.

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, 367571 + ... + 372077.

It is an arithmetic number, because the mean of its divisors is an integer number (42411264).

Almost surely, 21666796768 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 1666796768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2035740672).

1666796768 is an abundant number, since it is smaller than the sum of its proper divisors (2404684576).

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

1666796768 is a wasteful number, since it uses less digits than its factorization.

1666796768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4664 (or 4656 counting only the distinct ones).

The product of its digits is 27433728, while the sum is 62.

The square root of 1666796768 is about 40826.4224246994. The cubic root of 1666796768 is about 1185.6619511314.

The spelling of 1666796768 in words is "one billion, six hundred sixty-six million, seven hundred ninety-six thousand, seven hundred sixty-eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 127 182 208 224 254 364 416 508 728 889 1016 1456 1651 1778 2032 2912 3302 3556 4064 4507 6604 7112 9014 11557 13208 14224 18028 23114 26416 28448 31549 36056 46228 52832 58591 63098 72112 92456 117182 126196 144224 184912 234364 252392 369824 410137 468728 504784 572389 820274 937456 1009568 1144778 1640548 1874912 2289556 3281096 4006723 4579112 6562192 7441057 8013446 9158224 13124384 14882114 16026892 18316448 29764228 32053784 52087399 59528456 64107568 104174798 119056912 128215136 208349596 238113824 416699192 833398384 1666796768