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132500869848 = 233419293111971
BaseRepresentation
bin111101101100110101…
…0101101001011011000
3110200000012202121010000
41323121222231023120
54132330210313343
6140511533253000
712400331545044
oct1733152551330
9420005677100
10132500869848
1151214317716
122181a334160
13c658049b89
1465ad6a5024
1536a76b1ed3
hex1ed9aad2d8

132500869848 has 320 divisors, whose sum is σ = 417200256000. Its totient is φ = 39093062400.

The previous prime is 132500869799. The next prime is 132500869849. The reversal of 132500869848 is 848968005231.

132500869848 is a `hidden beast` number, since 1 + 3 + 2 + 500 + 8 + 6 + 98 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 132500869794 and 132500869803.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132500869849) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 11062503 + ... + 11074473.

It is an arithmetic number, because the mean of its divisors is an integer number (1303750800).

Almost surely, 2132500869848 is an apocalyptic number.

132500869848 is a gapful number since it is divisible by the number (18) 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 132500869848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208600128000).

132500869848 is an abundant number, since it is smaller than the sum of its proper divisors (284699386152).

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

132500869848 is a wasteful number, since it uses less digits than its factorization.

132500869848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12068 (or 12055 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 54.

The spelling of 132500869848 in words is "one hundred thirty-two billion, five hundred million, eight hundred sixty-nine thousand, eight hundred forty-eight".