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132759250944 = 211365932789
BaseRepresentation
bin111101110100100010…
…0010110100000000000
3110200200012221201100020
41323221010112200000
54133342332012234
6140553323253440
712406620004515
oct1735104264000
9420605851306
10132759250944
1151337155211
122189097a280
13c6997352b8
1465d5b2330c
1536c01ee549
hex1ee9116800

132759250944 has 96 divisors (see below), whose sum is σ = 354486132000. Its totient is φ = 44184584192.

The previous prime is 132759250927. The next prime is 132759250957. The reversal of 132759250944 is 449052957231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1327592509442 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4032502 + ... + 4065290.

It is an arithmetic number, because the mean of its divisors is an integer number (3692563875).

Almost surely, 2132759250944 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 132759250944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (177243066000).

132759250944 is an abundant number, since it is smaller than the sum of its proper divisors (221726881056).

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

132759250944 is an equidigital number, since it uses as much as digits as its factorization.

132759250944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33473 (or 33453 counting only the distinct ones).

The product of its (nonzero) digits is 2721600, while the sum is 51.

The spelling of 132759250944 in words is "one hundred thirty-two billion, seven hundred fifty-nine million, two hundred fifty thousand, nine hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 659 768 1024 1318 1536 1977 2048 2636 3072 3954 5272 6144 7908 10544 15816 21088 31632 32789 42176 63264 65578 84352 98367 126528 131156 168704 196734 253056 262312 337408 393468 506112 524624 674816 786936 1012224 1049248 1349632 1573872 2024448 2098496 3147744 4048896 4196992 6295488 8393984 12590976 16787968 21607951 25181952 33575936 43215902 50363904 64823853 67151872 86431804 100727808 129647706 172863608 201455616 259295412 345727216 518590824 691454432 1037181648 1382908864 2074363296 2765817728 4148726592 5531635456 8297453184 11063270912 16594906368 22126541824 33189812736 44253083648 66379625472 132759250944