Search a number
-
+
66764735200 = 2552831005493
BaseRepresentation
bin111110001011011111…
…010000001011100000
320101022221121221220101
4332023133100023200
52043213233011300
650400555552144
74552330612522
oct761337201340
9211287557811
1066764735200
1126350a52809
1210b3345b654
1363b00ac697
14333508ba12
151b0b598b6a
hexf8b7d02e0

66764735200 has 72 divisors (see below), whose sum is σ = 164953301688. Its totient is φ = 26384110080.

The previous prime is 66764735143. The next prime is 66764735203. The reversal of 66764735200 is 253746766.

66764735200 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×667647352002 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66764735203) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 436347 + ... + 569146.

It is an arithmetic number, because the mean of its divisors is an integer number (2291018079).

Almost surely, 266764735200 is an apocalyptic number.

It is an amenable number.

66764735200 is an abundant number, since it is smaller than the sum of its proper divisors (98188566488).

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

66764735200 is a wasteful number, since it uses less digits than its factorization.

66764735200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1005596 (or 1005583 counting only the distinct ones).

The product of its (nonzero) digits is 1270080, while the sum is 46.

The spelling of 66764735200 in words is "sixty-six billion, seven hundred sixty-four million, seven hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 83 100 160 166 200 332 400 415 664 800 830 1328 1660 2075 2656 3320 4150 6640 8300 13280 16600 33200 66400 1005493 2010986 4021972 5027465 8043944 10054930 16087888 20109860 25137325 32175776 40219720 50274650 80439440 83455919 100549300 160878880 166911838 201098600 333823676 402197200 417279595 667647352 804394400 834559190 1335294704 1669118380 2086397975 2670589408 3338236760 4172795950 6676473520 8345591900 13352947040 16691183800 33382367600 66764735200