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132869761920 = 2732575397641
BaseRepresentation
bin111101110111110100…
…1111010101110000000
3110200221220220020220100
41323233221322232000
54134104124340140
6141012312042400
712412431225120
oct1735751725600
9420856806810
10132869761920
11513935757a5
1221901993400
13c6b65b90cc
14660668cc80
1536c9c7d530
hex1eefa7ab80

132869761920 has 768 divisors, whose sum is σ = 540604471680. Its totient is φ = 29444014080.

The previous prime is 132869761919. The next prime is 132869761957. The reversal of 132869761920 is 29167968231.

132869761920 is a `hidden beast` number, since 1 + 328 + 69 + 76 + 192 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207284800 + ... + 207285440.

Almost surely, 2132869761920 is an apocalyptic number.

132869761920 is a gapful number since it is divisible by the number (10) 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 132869761920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270302235840).

132869761920 is an abundant number, since it is smaller than the sum of its proper divisors (407734709760).

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

132869761920 is a wasteful number, since it uses less digits than its factorization.

132869761920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 808 counting only the distinct ones).

The product of its (nonzero) digits is 1959552, while the sum is 54.

The spelling of 132869761920 in words is "one hundred thirty-two billion, eight hundred sixty-nine million, seven hundred sixty-one thousand, nine hundred twenty".