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132377114672 = 241137107189983
BaseRepresentation
bin111101101001001001…
…0100111100000110000
3110122200120220011220222
41323102102213200300
54132102020132142
6140451352552212
712364266623555
oct1732222474060
9418616804828
10132377114672
1151160480610
12217a49b2668
13c63850996a
14659b08ca2c
15369b8b8bd2
hex1ed24a7830

132377114672 has 80 divisors (see below), whose sum is σ = 290046292992. Its totient is φ = 57997704960.

The previous prime is 132377114671. The next prime is 132377114711. The reversal of 132377114672 is 276411773231.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is not an unprimeable number, because it can be changed into a prime (132377114671) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 601793 + ... + 791775.

Almost surely, 2132377114672 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 132377114672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145023146496).

132377114672 is an abundant number, since it is smaller than the sum of its proper divisors (157669178320).

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

132377114672 is a wasteful number, since it uses less digits than its factorization.

132377114672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190146 (or 190140 counting only the distinct ones).

The product of its digits is 296352, while the sum is 44.

The spelling of 132377114672 in words is "one hundred thirty-two billion, three hundred seventy-seven million, one hundred fourteen thousand, six hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 37 44 74 88 107 148 176 214 296 407 428 592 814 856 1177 1628 1712 2354 3256 3959 4708 6512 7918 9416 15836 18832 31672 43549 63344 87098 174196 189983 348392 379966 696784 759932 1519864 2089813 3039728 4179626 7029371 8359252 14058742 16718504 20328181 28117484 33437008 40656362 56234968 77323081 81312724 112469936 154646162 162625448 223609991 309292324 325250896 447219982 618584648 752142697 894439964 1237169296 1504285394 1788879928 3008570788 3577759856 6017141576 8273569667 12034283152 16547139334 33094278668 66188557336 132377114672