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66126466640 = 2451363583141
BaseRepresentation
bin111101100101011100…
…011100111001010000
320022200110121120001002
4331211130130321100
52040411333413030
650213355401132
74530450456323
oct754534347120
9208613546032
1066126466640
1126053737133
12109957531a8
13630aaa5390
1432b43c27ba
151ac051c245
hexf6571ce50

66126466640 has 40 divisors (see below), whose sum is σ = 165570501768. Its totient is φ = 24415925760.

The previous prime is 66126466621. The next prime is 66126466697. The reversal of 66126466640 is 4666462166.

It can be written as a sum of positive squares in 4 ways, for example, as 9446284864 + 56680181776 = 97192^2 + 238076^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 31790531 + ... + 31792610.

Almost surely, 266126466640 is an apocalyptic number.

It is an amenable number.

66126466640 is an abundant number, since it is smaller than the sum of its proper divisors (99444035128).

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

66126466640 is a wasteful number, since it uses less digits than its factorization.

66126466640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63583167 (or 63583161 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 47.

The spelling of 66126466640 in words is "sixty-six billion, one hundred twenty-six million, four hundred sixty-six thousand, six hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 63583141 127166282 254332564 317915705 508665128 635831410 826580833 1017330256 1271662820 1653161666 2543325640 3306323332 4132904165 5086651280 6612646664 8265808330 13225293328 16531616660 33063233320 66126466640