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132017947457 = 11223531496007
BaseRepresentation
bin111101011110011100…
…0100000001101000001
3110121202120001121010112
41322330320200031001
54130333043304312
6140352002441105
712352346016044
oct1727470401501
9417676047115
10132017947457
1150a96764a00
1221704663195
13c5abc93c96
1465654b6c5b
15367a0bdd22
hex1ebce20341

132017947457 has 48 divisors (see below), whose sum is σ = 155338041600. Its totient is φ = 111857665920.

The previous prime is 132017947403. The next prime is 132017947463. The reversal of 132017947457 is 754749710231.

It is not a de Polignac number, because 132017947457 - 26 = 132017947393 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (132017917457) 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 47 ways as a sum of consecutive naturals, for example, 21974348 + ... + 21980354.

It is an arithmetic number, because the mean of its divisors is an integer number (3236209200).

Almost surely, 2132017947457 is an apocalyptic number.

It is an amenable number.

132017947457 is a deficient number, since it is larger than the sum of its proper divisors (23320094143).

132017947457 is a wasteful number, since it uses less digits than its factorization.

132017947457 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6254 (or 6243 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 50.

The spelling of 132017947457 in words is "one hundred thirty-two billion, seventeen million, nine hundred forty-seven thousand, four hundred fifty-seven".

Divisors: 1 11 23 53 121 149 253 583 1219 1639 2783 3427 6007 6413 7897 13409 18029 37697 66077 86867 138161 147499 181631 318371 414667 726847 895043 955537 1519771 1997941 3502081 7322533 9845473 16717481 20585989 21977351 38522891 47437279 80547863 108300203 226445879 521810069 886026493 1091057417 2490904669 5739910759 12001631587 132017947457