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66900440600 = 235274310111003
BaseRepresentation
bin111110010011100100…
…111011011000011000
320101200101222111201022
4332103210323120120
52044003003044400
650422244342012
74555566235220
oct762344733030
9211611874638
1066900440600
1126410611234
1210b709a4908
136402245036
1433490d5080
151b18452b85
hexf9393b618

66900440600 has 192 divisors, whose sum is σ = 183715741440. Its totient is φ = 22180032000.

The previous prime is 66900440591. The next prime is 66900440611. The reversal of 66900440600 is 604400966.

It is a Harshad number since it is a multiple of its sum of digits (35).

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 47 ways as a sum of consecutive naturals, for example, 6074699 + ... + 6085701.

It is an arithmetic number, because the mean of its divisors is an integer number (956852820).

Almost surely, 266900440600 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66900440600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91857870720).

66900440600 is an abundant number, since it is smaller than the sum of its proper divisors (116815300840).

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

66900440600 is a wasteful number, since it uses less digits than its factorization.

66900440600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11170 (or 11161 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 66900440600 in words is "sixty-six billion, nine hundred million, four hundred forty thousand, six hundred".