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132165801656 = 237191072414817
BaseRepresentation
bin111101100010110110…
…0100001011010111000
3110122010212021100221222
41323011230201122320
54131133421123111
6140414403451212
712356122530620
oct1730554413270
9418125240858
10132165801656
1151062170a59
1221746086b08
13c6037c1285
14657ada3880
1536880777db
hex1ec5b216b8

132165801656 has 128 divisors (see below), whose sum is σ = 302215795200. Its totient is φ = 52928225280.

The previous prime is 132165801653. The next prime is 132165801659. The reversal of 132165801656 is 656108561231.

It is an interprime number because it is at equal distance from previous prime (132165801653) and next prime (132165801659).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132165801653) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 27434960 + ... + 27439776.

It is an arithmetic number, because the mean of its divisors is an integer number (2361060900).

Almost surely, 2132165801656 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132165801656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151107897600).

132165801656 is an abundant number, since it is smaller than the sum of its proper divisors (170049993544).

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

132165801656 is a wasteful number, since it uses less digits than its factorization.

132165801656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5197 (or 5193 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 44.

The spelling of 132165801656 in words is "one hundred thirty-two billion, one hundred sixty-five million, eight hundred one thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 107 133 152 214 241 266 428 482 532 749 856 964 1064 1498 1687 1928 2033 2996 3374 4066 4579 4817 5992 6748 8132 9158 9634 13496 14231 16264 18316 19268 25787 28462 32053 33719 36632 38536 51574 56924 64106 67438 91523 103148 113848 128212 134876 180509 183046 206296 256424 269752 361018 366092 489953 515419 640661 722036 732184 979906 1030838 1160897 1281322 1444072 1959812 2061676 2321794 2562644 3429671 3607933 3919624 4123352 4643588 5125288 6859342 7215866 8126279 9287176 9792961 13718684 14431732 16252558 19585922 22057043 27437368 28863464 32505116 39171844 44114086 65010232 68550727 78343688 88228172 124215979 137101454 154399301 176456344 248431958 274202908 308798602 496863916 548405816 617597204 869511853 993727832 1235194408 1739023706 2360103601 3478047412 4720207202 6956094824 9440414404 16520725207 18880828808 33041450414 66082900828 132165801656