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132713177456 = 2429210197651
BaseRepresentation
bin111101110011001010…
…0100110000101110000
3110200120000020221101202
41323212110212011300
54133244033134311
6140544555550332
712405520252466
oct1734624460560
9420500227352
10132713177456
1151313146552
122187945b3a8
13c690023192
1465cd96c836
1536bb14ce3b
hex1ee6526170

132713177456 has 60 divisors (see below), whose sum is σ = 268943568504. Its totient is φ = 63433440000.

The previous prime is 132713177417. The next prime is 132713177459. The reversal of 132713177456 is 654771317231.

It is a super-2 number, since 2×1327131774562 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 132713177456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132713177459) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1310231 + ... + 1407881.

Almost surely, 2132713177456 is an apocalyptic number.

132713177456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132713177456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (134471784252).

132713177456 is an abundant number, since it is smaller than the sum of its proper divisors (136230391048).

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

132713177456 is a wasteful number, since it uses less digits than its factorization.

132713177456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97818 (or 97783 counting only the distinct ones).

The product of its digits is 740880, while the sum is 47.

The spelling of 132713177456 in words is "one hundred thirty-two billion, seven hundred thirteen million, one hundred seventy-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 29 58 101 116 202 232 404 464 808 841 1616 1682 2929 3364 5858 6728 11716 13456 23432 46864 84941 97651 169882 195302 339764 390604 679528 781208 1359056 1562416 2831879 5663758 9862751 11327516 19725502 22655032 39451004 45310064 78902008 82124491 157804016 164248982 286019779 328497964 572039558 656995928 1144079116 1313991856 2288158232 4576316464 8294573591 16589147182 33178294364 66356588728 132713177456