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132275763880 = 235131091233159
BaseRepresentation
bin111101100110000111…
…1111111101010101000
3110122102112012000202221
41323030033333222220
54131400043421010
6140433332403424
712361626304321
oct1731417775250
9418375160687
10132275763880
1151109247227
1221776a76574
13c620512390
14658b829448
153692a48dda
hex1ecc3ffaa8

132275763880 has 64 divisors (see below), whose sum is σ = 320809507200. Its totient is φ = 48795306240.

The previous prime is 132275763877. The next prime is 132275763901. The reversal of 132275763880 is 88367572231.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 450741 + ... + 683899.

It is an arithmetic number, because the mean of its divisors is an integer number (5012648550).

Almost surely, 2132275763880 is an apocalyptic number.

132275763880 is a gapful number since it is divisible by the number (10) 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 132275763880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160404753600).

132275763880 is an abundant number, since it is smaller than the sum of its proper divisors (188533743320).

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

132275763880 is a wasteful number, since it uses less digits than its factorization.

132275763880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234274 (or 234270 counting only the distinct ones).

The product of its (nonzero) digits is 3386880, while the sum is 52.

The spelling of 132275763880 in words is "one hundred thirty-two billion, two hundred seventy-five million, seven hundred sixty-three thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 13 20 26 40 52 65 104 130 260 520 1091 2182 4364 5455 8728 10910 14183 21820 28366 43640 56732 70915 113464 141830 233159 283660 466318 567320 932636 1165795 1865272 2331590 3031067 4663180 6062134 9326360 12124268 15155335 24248536 30310670 60621340 121242680 254376469 508752938 1017505876 1271882345 2035011752 2543764690 3306894097 5087529380 6613788194 10175058760 13227576388 16534470485 26455152776 33068940970 66137881940 132275763880