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66668437728 = 2532593390367
BaseRepresentation
bin111110000101101111…
…111010000011100000
320101002020102112121100
4332011233322003200
52043014110001403
650343235554400
74550051241054
oct760557720340
9211066375540
1066668437728
1126301660022
1210b0715ba00
136396164229
143326381c64
151b02dc62a3
hexf85bfa0e0

66668437728 has 72 divisors (see below), whose sum is σ = 189908566848. Its totient is φ = 22185280512.

The previous prime is 66668437699. The next prime is 66668437733. The reversal of 66668437728 is 82773486666.

It is a tau number, because it is divible by the number of its divisors (72).

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 11 ways as a sum of consecutive naturals, for example, 24400 + ... + 365967.

It is an arithmetic number, because the mean of its divisors is an integer number (2637618984).

Almost surely, 266668437728 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 66668437728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94954283424).

66668437728 is an abundant number, since it is smaller than the sum of its proper divisors (123240129120).

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

66668437728 is a wasteful number, since it uses less digits than its factorization.

66668437728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 390976 (or 390965 counting only the distinct ones).

The product of its digits is 97542144, while the sum is 63.

The spelling of 66668437728 in words is "sixty-six billion, six hundred sixty-eight million, four hundred thirty-seven thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 593 1186 1779 2372 3558 4744 5337 7116 9488 10674 14232 18976 21348 28464 42696 56928 85392 170784 390367 780734 1171101 1561468 2342202 3122936 3513303 4684404 6245872 7026606 9368808 12491744 14053212 18737616 28106424 37475232 56212848 112425696 231487631 462975262 694462893 925950524 1388925786 1851901048 2083388679 2777851572 3703802096 4166777358 5555703144 7407604192 8333554716 11111406288 16667109432 22222812576 33334218864 66668437728