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132253766219568 = 24371920716442077
BaseRepresentation
bin11110000100100010111010…
…110000010111011100110000
3122100021100002100202202211210
4132010202322300113130300
5114313321203123011233
61145140312541440120
736600006421403340
oct3604427260273460
9570240070682753
10132253766219568
113915a564200814
12129bb7ba870040
1358a4627245c16
14249318b71ad20
151045355d37163
hex7848bac17730

132253766219568 has 80 divisors (see below), whose sum is σ = 411014210827520. Its totient is φ = 35798011907328.

The previous prime is 132253766219567. The next prime is 132253766219599. The reversal of 132253766219568 is 865912667352231.

It is a super-2 number, since 2×1322537662195682 (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 132253766219499 and 132253766219508.

It is not an unprimeable number, because it can be changed into a prime (132253766219563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10358214655 + ... + 10358227422.

It is an arithmetic number, because the mean of its divisors is an integer number (5137677635344).

Almost surely, 2132253766219568 is an apocalyptic number.

It is an amenable number.

132253766219568 is an abundant number, since it is smaller than the sum of its proper divisors (278760444607952).

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

132253766219568 is a wasteful number, since it uses less digits than its factorization.

132253766219568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20716442114 (or 20716442108 counting only the distinct ones).

The product of its digits is 195955200, while the sum is 66.

The spelling of 132253766219568 in words is "one hundred thirty-two trillion, two hundred fifty-three billion, seven hundred sixty-six million, two hundred nineteen thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 19 21 24 28 38 42 48 56 57 76 84 112 114 133 152 168 228 266 304 336 399 456 532 798 912 1064 1596 2128 3192 6384 20716442077 41432884154 62149326231 82865768308 124298652462 145015094539 165731536616 248597304924 290030189078 331463073232 393612399463 435045283617 497194609848 580060378156 787224798926 870090567234 994389219696 1160120756312 1180837198389 1574449597852 1740181134468 2320241512624 2361674396778 2755286796241 3148899195704 3480362268936 4723348793556 5510573592482 6297798391408 6960724537872 8265860388723 9446697587112 11021147184964 16531720777446 18893395174224 22042294369928 33063441554892 44084588739856 66126883109784 132253766219568