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132640060729 = 11289127293331
BaseRepresentation
bin111101110000111110…
…1101011010100111001
3110200100220200020002211
41323201331223110321
54133121323420404
6140533424455121
712403641625261
oct1734175532471
9420326606084
10132640060729
1151285946900
1221858a7a4a1
13c67ab32b47
1465c3d787a1
1536b4a08b04
hex1ee1f6b539

132640060729 has 48 divisors (see below), whose sum is σ = 149551073280. Its totient is φ = 117528364800.

The previous prime is 132640060673. The next prime is 132640060783. The reversal of 132640060729 is 927060046231.

It is a happy number.

It is not a de Polignac number, because 132640060729 - 225 = 132606506297 is a prime.

It is a super-2 number, since 2×1326400607292 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 132640060691 and 132640060700.

It is not an unprimeable number, because it can be changed into a prime (132640060229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400725094 + ... + 400725424.

It is an arithmetic number, because the mean of its divisors is an integer number (3115647360).

Almost surely, 2132640060729 is an apocalyptic number.

It is an amenable number.

132640060729 is a deficient number, since it is larger than the sum of its proper divisors (16911012551).

132640060729 is a wasteful number, since it uses less digits than its factorization.

132640060729 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 862 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 40.

The spelling of 132640060729 in words is "one hundred thirty-two billion, six hundred forty million, sixty thousand, seven hundred twenty-nine".

Divisors: 1 11 89 121 127 293 331 979 1397 3223 3641 10769 11303 15367 26077 29459 35453 37211 40051 42037 96983 124333 286847 324049 409321 462407 1066813 1367663 3155317 3311779 3564539 3741293 4502531 5086477 8631487 11734943 12316841 36429569 41154223 94946357 135485251 400725259 452696453 1044409927 1096198849 1490337761 12058187339 132640060729