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132638686488 = 2336711436869
BaseRepresentation
bin111101110000111100…
…0011011110100011000
3110200100211002102000000
41323201320123310120
54133121000431423
6140533335213000
712403624142610
oct1734170336430
9420324072000
10132638686488
1151285098370
1221858517160
13c67a771499
1465c3adba40
1536b4836843
hex1ee1e1bd18

132638686488 has 448 divisors, whose sum is σ = 475764537600. Its totient is φ = 33645507840.

The previous prime is 132638686451. The next prime is 132638686553. The reversal of 132638686488 is 884686836231.

132638686488 is a `hidden beast` number, since 1 + 32 + 63 + 8 + 68 + 6 + 488 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 19306318 + ... + 19313186.

Almost surely, 2132638686488 is an apocalyptic number.

132638686488 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 132638686488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237882268800).

132638686488 is an abundant number, since it is smaller than the sum of its proper divisors (343125851112).

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

132638686488 is a wasteful number, since it uses less digits than its factorization.

132638686488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6954 (or 6935 counting only the distinct ones).

The product of its digits is 63700992, while the sum is 63.

The spelling of 132638686488 in words is "one hundred thirty-two billion, six hundred thirty-eight million, six hundred eighty-six thousand, four hundred eighty-eight".