Search a number
-
+
66706871920 = 24513127505049
BaseRepresentation
bin111110001000000010…
…100001011001110000
320101011220202012101221
4332020002201121300
52043103424400140
650351131434424
74551026025103
oct761002413160
9211156665357
1066706871920
1126321321217
1210b17bb5a14
1363a1100160
14332b50873a
151b0646914a
hexf880a1670

66706871920 has 80 divisors (see below), whose sum is σ = 168339225600. Its totient is φ = 24436242432.

The previous prime is 66706871849. The next prime is 66706871921. The reversal of 66706871920 is 2917860766.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×667068719202 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66706871921) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 120445 + ... + 384604.

It is an arithmetic number, because the mean of its divisors is an integer number (2104240320).

Almost surely, 266706871920 is an apocalyptic number.

It is an amenable number.

66706871920 is an abundant number, since it is smaller than the sum of its proper divisors (101632353680).

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

66706871920 is a wasteful number, since it uses less digits than its factorization.

66706871920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505202 (or 505196 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 66706871920 in words is "sixty-six billion, seven hundred six million, eight hundred seventy-one thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 127 130 208 254 260 508 520 635 1016 1040 1270 1651 2032 2540 3302 5080 6604 8255 10160 13208 16510 26416 33020 66040 132080 505049 1010098 2020196 2525245 4040392 5050490 6565637 8080784 10100980 13131274 20201960 26262548 32828185 40403920 52525096 64141223 65656370 105050192 128282446 131312740 256564892 262625480 320706115 513129784 525250960 641412230 833835899 1026259568 1282824460 1667671798 2565648920 3335343596 4169179495 5131297840 6670687192 8338358990 13341374384 16676717980 33353435960 66706871920