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132377114628 = 2232111237270239
BaseRepresentation
bin111101101001001001…
…0100111100000000100
3110122200120220011212100
41323102102213200010
54132102020132003
6140451352552100
712364266623463
oct1732222474004
9418616804770
10132377114628
1151160480580
12217a49b2630
13c638509935
14659b08c9da
15369b8b8ba3
hex1ed24a7804

132377114628 has 72 divisors (see below), whose sum is σ = 365336375040. Its totient is φ = 40081700160.

The previous prime is 132377114567. The next prime is 132377114657. The reversal of 132377114628 is 826411773231.

Adding to 132377114628 its reverse (826411773231), we get a palindrome (958788887859).

132377114628 is a `hidden beast` number, since 1 + 3 + 2 + 3 + 7 + 7 + 1 + 14 + 628 = 666.

132377114628 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 354733 + ... + 624971.

It is an arithmetic number, because the mean of its divisors is an integer number (5074116320).

Almost surely, 2132377114628 is an apocalyptic number.

132377114628 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

132377114628 is an abundant number, since it is smaller than the sum of its proper divisors (232959260412).

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

132377114628 is a wasteful number, since it uses less digits than its factorization.

132377114628 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 271497 (or 271492 counting only the distinct ones).

The product of its digits is 338688, while the sum is 45.

The spelling of 132377114628 in words is "one hundred thirty-two billion, three hundred seventy-seven million, one hundred fourteen thousand, six hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 1237 2474 3711 4948 7422 11133 13607 14844 22266 27214 40821 44532 54428 81642 122463 163284 244926 270239 489852 540478 810717 1080956 1621434 2432151 2972629 3242868 4864302 5945258 8917887 9728604 11890516 17835774 26753661 35671548 53507322 107014644 334285643 668571286 1002856929 1337142572 2005713858 3008570787 3677142073 4011427716 6017141574 7354284146 11031426219 12034283148 14708568292 22062852438 33094278657 44125704876 66188557314 132377114628