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132631565020 = 22541389415799
BaseRepresentation
bin111101110000101110…
…1010001001011011100
3110200100022200121011221
41323201131101023130
54133112140040040
6140532522423124
712403506462403
oct1734135211334
9420308617157
10132631565020
1151281073959
1221856061aa4
13c679149bb6
1465c2ba663a
1536b3dcb74a
hex1ee17512dc

132631565020 has 48 divisors (see below), whose sum is σ = 286053768000. Its totient is φ = 51625479680.

The previous prime is 132631564997. The next prime is 132631565057. The reversal of 132631565020 is 20565136231.

It is a super-2 number, since 2×1326315650202 (a number of 23 digits) contains 22 as substring.

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, 111081 + ... + 526879.

It is an arithmetic number, because the mean of its divisors is an integer number (5959453500).

Almost surely, 2132631565020 is an apocalyptic number.

132631565020 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 132631565020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143026884000).

132631565020 is an abundant number, since it is smaller than the sum of its proper divisors (153422202980).

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

132631565020 is a wasteful number, since it uses less digits than its factorization.

132631565020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 416238 (or 416236 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 34.

The spelling of 132631565020 in words is "one hundred thirty-two billion, six hundred thirty-one million, five hundred sixty-five thousand, twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 389 410 778 820 1556 1945 3890 7780 15949 31898 63796 79745 159490 318980 415799 831598 1663196 2078995 4157990 8315980 17047759 34095518 68191036 85238795 161745811 170477590 323491622 340955180 646983244 808729055 1617458110 3234916220 6631578251 13263156502 26526313004 33157891255 66315782510 132631565020