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80132583960 = 23365112131747
BaseRepresentation
bin100101010100001000…
…1100011001000011000
321122211120121001000000
41022220101203020120
52303102420141320
6100451251213000
75534521503522
oct1125021431030
9248746531000
1080132583960
1130a90833400
12136442a7160
137730746770
143c4260ca12
15213ee5cc90
hex12a8463218

80132583960 has 672 divisors, whose sum is σ = 320172315120. Its totient is φ = 17921502720.

The previous prime is 80132583931. The next prime is 80132583997. The reversal of 80132583960 is 6938523108.

It is a happy number.

80132583960 is a `hidden beast` number, since 8 + 0 + 1 + 3 + 2 + 583 + 9 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 167 ways as a sum of consecutive naturals, for example, 45867807 + ... + 45869553.

Almost surely, 280132583960 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 80132583960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160086157560).

80132583960 is an abundant number, since it is smaller than the sum of its proper divisors (240039731160).

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

80132583960 is a wasteful number, since it uses less digits than its factorization.

80132583960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1811 (or 1781 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 80132583960 in words is "eighty billion, one hundred thirty-two million, five hundred eighty-three thousand, nine hundred sixty".