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66431534640 = 24351914568319
BaseRepresentation
bin111101110111101000…
…001100011000110000
320100110201122121122220
4331313220030120300
52042022433102030
650303534201040
74541143504362
oct756750143060
9210421577586
1066431534640
112619a962249
1210a5b953180
136359058ba3
143302b14d32
151adc1cca10
hexf77a0c630

66431534640 has 80 divisors (see below), whose sum is σ = 216776601600. Its totient is φ = 16782702336.

The previous prime is 66431534573. The next prime is 66431534641. The reversal of 66431534640 is 4643513466.

66431534640 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a junction number, because it is equal to n+sod(n) for n = 66431534592 and 66431534601.

It is not an unprimeable number, because it can be changed into a prime (66431534641) 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, 7279600 + ... + 7288719.

It is an arithmetic number, because the mean of its divisors is an integer number (2709707520).

Almost surely, 266431534640 is an apocalyptic number.

66431534640 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

66431534640 is an abundant number, since it is smaller than the sum of its proper divisors (150345066960).

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

66431534640 is a wasteful number, since it uses less digits than its factorization.

66431534640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14568354 (or 14568348 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 42.

The spelling of 66431534640 in words is "sixty-six billion, four hundred thirty-one million, five hundred thirty-four thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 19 20 24 30 38 40 48 57 60 76 80 95 114 120 152 190 228 240 285 304 380 456 570 760 912 1140 1520 2280 4560 14568319 29136638 43704957 58273276 72841595 87409914 116546552 145683190 174819828 218524785 233093104 276798061 291366380 349639656 437049570 553596122 582732760 699279312 830394183 874099140 1107192244 1165465520 1383990305 1660788366 1748198280 2214384488 2767980610 3321576732 3496396560 4151970915 4428768976 5535961220 6643153464 8303941830 11071922440 13286306928 16607883660 22143844880 33215767320 66431534640