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1966740993 = 3473468679
BaseRepresentation
bin111010100111010…
…0001011000000001
312002001202210110000
41311032201120001
513011441202433
6523054030213
766511010520
oct16516413001
95061683400
101966740993
1191a1a0688
1246a7a8369
13254600b89
141492bc4b7
15b79e3113
hex753a1601

1966740993 has 20 divisors (see below), whose sum is σ = 3357682240. Its totient is φ = 1123851672.

The previous prime is 1966740973. The next prime is 1966741039. The reversal of 1966740993 is 3990476691.

1966740993 is a `hidden beast` number, since 1 + 96 + 67 + 409 + 93 = 666.

It is not a de Polignac number, because 1966740993 - 26 = 1966740929 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1966740913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1733773 + ... + 1734906.

It is an arithmetic number, because the mean of its divisors is an integer number (167884112).

Almost surely, 21966740993 is an apocalyptic number.

It is an amenable number.

1966740993 is a deficient number, since it is larger than the sum of its proper divisors (1390941247).

1966740993 is an equidigital number, since it uses as much as digits as its factorization.

1966740993 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3468698 (or 3468689 counting only the distinct ones).

The product of its (nonzero) digits is 2204496, while the sum is 54.

The square root of 1966740993 is about 44347.9536506477. The cubic root of 1966740993 is about 1252.8980211597.

The spelling of 1966740993 in words is "one billion, nine hundred sixty-six million, seven hundred forty thousand, nine hundred ninety-three".

Divisors: 1 3 7 9 21 27 63 81 189 567 3468679 10406037 24280753 31218111 72842259 93654333 218526777 280962999 655580331 1966740993