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132687101040 = 24351342527917
BaseRepresentation
bin111101110010011000…
…1000111110001110000
3110200111012012010021120
41323210301013301300
54133220344213130
6140542225022240
712405052515114
oct1734461076160
9420435163246
10132687101040
11512aa45599a
1221870784980
13c6877c3050
1465ca301744
1536b8beb910
hex1ee4c47c70

132687101040 has 80 divisors (see below), whose sum is σ = 442970793888. Its totient is φ = 32661439488.

The previous prime is 132687100961. The next prime is 132687101083. The reversal of 132687101040 is 40101786231.

It is a tau number, because it is divible by the number of its divisors (80).

It is a junction number, because it is equal to n+sod(n) for n = 132687100992 and 132687101010.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21260839 + ... + 21267078.

Almost surely, 2132687101040 is an apocalyptic number.

132687101040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132687101040 is an abundant number, since it is smaller than the sum of its proper divisors (310283692848).

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

132687101040 is a wasteful number, since it uses less digits than its factorization.

132687101040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42527946 (or 42527940 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

Adding to 132687101040 its reverse (40101786231), we get a palindrome (172788887271).

The spelling of 132687101040 in words is "one hundred thirty-two billion, six hundred eighty-seven million, one hundred one thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 16 20 24 26 30 39 40 48 52 60 65 78 80 104 120 130 156 195 208 240 260 312 390 520 624 780 1040 1560 3120 42527917 85055834 127583751 170111668 212639585 255167502 340223336 425279170 510335004 552862921 637918755 680446672 850558340 1020670008 1105725842 1275837510 1658588763 1701116680 2041340016 2211451684 2551675020 2764314605 3317177526 3402233360 4422903368 5103350040 5528629210 6634355052 8292943815 8845806736 10206700080 11057258420 13268710104 16585887630 22114516840 26537420208 33171775260 44229033680 66343550520 132687101040