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132163680363 = 311131719953789
BaseRepresentation
bin111101100010110010…
…0011011100001101011
3110122010201021121002120
41323011210123201223
54131132400232423
6140414250202323
712356065514241
oct1730544334153
9418121247076
10132163680363
1151060a52220
12217454233a3
13c60322a880
14657a9b0791
153687ca8ee3
hex1ec591b86b

132163680363 has 64 divisors (see below), whose sum is σ = 230740876800. Its totient is φ = 65925826560.

The previous prime is 132163680349. The next prime is 132163680367. The reversal of 132163680363 is 363086361231.

It is not a de Polignac number, because 132163680363 - 24 = 132163680347 is a prime.

It is a super-3 number, since 3×1321636803633 (a number of 34 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (132163680367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 338328 + ... + 615461.

It is an arithmetic number, because the mean of its divisors is an integer number (3605326200).

Almost surely, 2132163680363 is an apocalyptic number.

132163680363 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

132163680363 is a deficient number, since it is larger than the sum of its proper divisors (98577196437).

132163680363 is a wasteful number, since it uses less digits than its factorization.

132163680363 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 953852.

The product of its (nonzero) digits is 279936, while the sum is 42.

The spelling of 132163680363 in words is "one hundred thirty-two billion, one hundred sixty-three million, six hundred eighty thousand, three hundred sixty-three".

Divisors: 1 3 11 13 17 19 33 39 51 57 143 187 209 221 247 323 429 561 627 663 741 969 2431 2717 3553 4199 7293 8151 10659 12597 46189 138567 953789 2861367 10491679 12399257 16214413 18121991 31475037 37197771 48643239 54365973 136391827 178358543 199341901 210787369 235585883 308073847 409175481 535075629 598025703 632362107 706757649 924221541 2318661059 2591444713 3388812317 4004960011 6955983177 7774334139 10166436951 12014880033 44054560121 132163680363