Search a number
-
+
66788770560 = 2835109315913
BaseRepresentation
bin111110001100111010…
…111100001100000000
320101101121212002012220
4332030322330030000
52043240411124220
650403215051040
74553042116461
oct761472741400
9211347762186
1066788770560
1126363579946
1210b3b510a80
1363b50767a5
143338346d68
151b0d745540
hexf8cebc300

66788770560 has 144 divisors (see below), whose sum is σ = 213515209824. Its totient is φ = 17792925696.

The previous prime is 66788770541. The next prime is 66788770591. The reversal of 66788770560 is 6507788766.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 66788770494 and 66788770503.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4189164 + ... + 4205076.

Almost surely, 266788770560 is an apocalyptic number.

66788770560 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66788770560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106757604912).

66788770560 is an abundant number, since it is smaller than the sum of its proper divisors (146726439264).

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

66788770560 is a wasteful number, since it uses less digits than its factorization.

66788770560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17030 (or 17016 counting only the distinct ones).

The product of its (nonzero) digits is 23708160, while the sum is 60.

The spelling of 66788770560 in words is "sixty-six billion, seven hundred eighty-eight million, seven hundred seventy thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1093 1280 1920 2186 3279 3840 4372 5465 6558 8744 10930 13116 15913 16395 17488 21860 26232 31826 32790 34976 43720 47739 52464 63652 65580 69952 79565 87440 95478 104928 127304 131160 139904 159130 174880 190956 209856 238695 254608 262320 279808 318260 349760 381912 419712 477390 509216 524640 636520 699520 763824 839424 954780 1018432 1049280 1273040 1399040 1527648 1909560 2036864 2098560 2546080 3055296 3819120 4073728 4197120 5092160 6110592 7638240 10184320 12221184 15276480 17392909 20368640 30552960 34785818 52178727 61105920 69571636 86964545 104357454 139143272 173929090 208714908 260893635 278286544 347858180 417429816 521787270 556573088 695716360 834859632 1043574540 1113146176 1391432720 1669719264 2087149080 2226292352 2782865440 3339438528 4174298160 4452584704 5565730880 6678877056 8348596320 11131461760 13357754112 16697192640 22262923520 33394385280 66788770560