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132083168958 = 2321317121727283
BaseRepresentation
bin111101100000011000…
…1010011011010111110
3110121221002210012012200
41323000301103122332
54131001242401313
6140402252412330
712354100261146
oct1730061233276
9417832705180
10132083168958
115101a561874
12217224770a6
13c5bc64b7a0
146570013926
153680ba3b73
hex1ec0c536be

132083168958 has 96 divisors (see below), whose sum is σ = 326603231136. Its totient is φ = 38217498624.

The previous prime is 132083168951. The next prime is 132083168963. The reversal of 132083168958 is 859861380231.

132083168958 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132083168951) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4827585 + ... + 4854867.

It is an arithmetic number, because the mean of its divisors is an integer number (3402116991).

Almost surely, 2132083168958 is an apocalyptic number.

132083168958 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132083168958, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163301615568).

132083168958 is an abundant number, since it is smaller than the sum of its proper divisors (194520062178).

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

132083168958 is a wasteful number, since it uses less digits than its factorization.

132083168958 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28538 (or 28535 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 54.

The spelling of 132083168958 in words is "one hundred thirty-two billion, eighty-three million, one hundred sixty-eight thousand, nine hundred fifty-eight".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 153 221 234 306 442 663 1217 1326 1989 2434 3651 3978 7302 10953 15821 20689 21906 27283 31642 41378 47463 54566 62067 81849 94926 124134 142389 163698 186201 245547 268957 284778 354679 372402 463811 491094 537914 709358 806871 927622 1064037 1391433 1613742 2128074 2420613 2782866 3192111 4174299 4841226 6029543 6384222 8348598 12059086 18088629 33203411 36177258 54265887 66406822 99610233 108531774 199220466 298830699 431644343 564457987 597661398 863288686 1128915974 1294933029 1693373961 2589866058 3386747922 3884799087 5080121883 7337953831 7769598174 10160243766 14675907662 22013861493 44027722986 66041584479 132083168958