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132762160664 = 23731199384301
BaseRepresentation
bin111101110100100111…
…1011100111000011000
3110200200102102112201122
41323221033130320120
54133344103120124
6140553505504412
712406653513620
oct1735117347030
9420612375648
10132762160664
1151338862341
1221891942108
13c69a213823
1465d627d880
1536c05c675e
hex1ee93dce18

132762160664 has 64 divisors (see below), whose sum is σ = 295143936000. Its totient is φ = 54785808000.

The previous prime is 132762160589. The next prime is 132762160697. The reversal of 132762160664 is 466061267231.

132762160664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153314 + ... + 537614.

It is an arithmetic number, because the mean of its divisors is an integer number (4611624000).

Almost surely, 2132762160664 is an apocalyptic number.

132762160664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132762160664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147571968000).

132762160664 is an abundant number, since it is smaller than the sum of its proper divisors (162381775336).

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

132762160664 is a wasteful number, since it uses less digits than its factorization.

132762160664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 384544 (or 384540 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 44.

The spelling of 132762160664 in words is "one hundred thirty-two billion, seven hundred sixty-two million, one hundred sixty thousand, six hundred sixty-four".

Divisors: 1 2 4 7 8 14 28 31 56 62 124 199 217 248 398 434 796 868 1393 1592 1736 2786 5572 6169 11144 12338 24676 43183 49352 86366 172732 345464 384301 768602 1537204 2690107 3074408 5380214 10760428 11913331 21520856 23826662 47653324 76475899 83393317 95306648 152951798 166786634 305903596 333573268 535331293 611807192 667146536 1070662586 2141325172 2370752869 4282650344 4741505738 9483011476 16595270083 18966022952 33190540166 66381080332 132762160664