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132002746488 = 233283173127681
BaseRepresentation
bin111101011101111111…
…0100001000001111000
3110121201111110022022200
41322323332201001320
54130320200341423
6140350300550200
712352102555254
oct1727376410170
9417644408280
10132002746488
1150a89122218
12216bb552360
13c5a8aa1022
14656347b264
153678ab9d43
hex1ebbfa1078

132002746488 has 96 divisors (see below), whose sum is σ = 363909021840. Its totient is φ = 43219169280.

The previous prime is 132002746457. The next prime is 132002746501. The reversal of 132002746488 is 884647200231.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 970008 + ... + 1097688.

Almost surely, 2132002746488 is an apocalyptic number.

132002746488 is a gapful number since it is divisible by the number (18) 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 132002746488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181954510920).

132002746488 is an abundant number, since it is smaller than the sum of its proper divisors (231906275352).

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

132002746488 is a wasteful number, since it uses less digits than its factorization.

132002746488 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127949 (or 127942 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 45.

The spelling of 132002746488 in words is "one hundred thirty-two billion, two million, seven hundred forty-six thousand, four hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 83 166 173 249 332 346 498 519 664 692 747 996 1038 1384 1494 1557 1992 2076 2988 3114 4152 5976 6228 12456 14359 28718 43077 57436 86154 114872 127681 129231 172308 255362 258462 344616 383043 510724 516924 766086 1021448 1033848 1149129 1532172 2298258 3064344 4596516 9193032 10597523 21195046 22088813 31792569 42390092 44177626 63585138 66266439 84780184 88355252 95377707 127170276 132532878 176710504 190755414 198799317 254340552 265065756 381510828 397598634 530131512 763021656 795197268 1590394536 1833371479 3666742958 5500114437 7333485916 11000228874 14666971832 16500343311 22000457748 33000686622 44000915496 66001373244 132002746488