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132132641536 = 287292542577
BaseRepresentation
bin111101100001110111…
…0000001101100000000
3110122001112212122211101
41323003232001230000
54131101424012121
6140411221024144
712355240631110
oct1730356015400
9418045778741
10132132641536
11510454822a5
1221736b55054
13c5c9980abc
146576811040
1536851c7491
hex1ec3b81b00

132132641536 has 72 divisors (see below), whose sum is σ = 311821765920. Its totient is φ = 54675554304.

The previous prime is 132132641519. The next prime is 132132641539. The reversal of 132132641536 is 635146231231.

It is a junction number, because it is equal to n+sod(n) for n = 132132641495 and 132132641504.

It is not an unprimeable number, because it can be changed into a prime (132132641539) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1219321 + ... + 1323256.

It is an arithmetic number, because the mean of its divisors is an integer number (4330857860).

Almost surely, 2132132641536 is an apocalyptic number.

132132641536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132132641536 is an abundant number, since it is smaller than the sum of its proper divisors (179689124384).

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

132132641536 is an equidigital number, since it uses as much as digits as its factorization.

132132641536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2542629 (or 2542615 counting only the distinct ones).

The product of its digits is 77760, while the sum is 37.

Adding to 132132641536 its reverse (635146231231), we get a palindrome (767278872767).

The spelling of 132132641536 in words is "one hundred thirty-two billion, one hundred thirty-two million, six hundred forty-one thousand, five hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 256 406 448 464 812 896 928 1624 1792 1856 3248 3712 6496 7424 12992 25984 51968 2542577 5085154 10170308 17798039 20340616 35596078 40681232 71192156 73734733 81362464 142384312 147469466 162724928 284768624 294938932 325449856 516143131 569537248 589877864 650899712 1032286262 1139074496 1179755728 2064572524 2278148992 2359511456 4129145048 4556297984 4719022912 8258290096 9438045824 16516580192 18876091648 33033160384 66066320768 132132641536