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132602445712 = 241129165715679
BaseRepresentation
bin111101101111110111…
…0001011111110010000
3110200021021220012000001
41323133232023332100
54133032211230322
6140530002335344
712403004122432
oct1733756137620
9420237805001
10132602445712
1151266695110
122184835a554
13c6730c2a39
1465bcd86652
1536b1578827
hex1edfb8bf90

132602445712 has 80 divisors (see below), whose sum is σ = 290131430400. Its totient is φ = 58156600320.

The previous prime is 132602445643. The next prime is 132602445761. The reversal of 132602445712 is 217544206231.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8449489 + ... + 8465167.

It is an arithmetic number, because the mean of its divisors is an integer number (3626642880).

Almost surely, 2132602445712 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 132602445712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145065715200).

132602445712 is an abundant number, since it is smaller than the sum of its proper divisors (157528984688).

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

132602445712 is a wasteful number, since it uses less digits than its factorization.

132602445712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17384 (or 17378 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 37.

The spelling of 132602445712 in words is "one hundred thirty-two billion, six hundred two million, four hundred forty-five thousand, seven hundred twelve".

Divisors: 1 2 4 8 11 16 22 29 44 58 88 116 176 232 319 464 638 1276 1657 2552 3314 5104 6628 13256 15679 18227 26512 31358 36454 48053 62716 72908 96106 125432 145816 172469 192212 250864 291632 344938 384424 454691 528583 689876 768848 909382 1057166 1379752 1818764 2114332 2759504 3637528 4228664 5001601 7275056 8457328 10003202 20006404 25980103 40012808 51960206 80025616 103920412 207840824 285781133 415681648 571562266 753422987 1143124532 1506845974 2286249064 3013691948 4572498128 6027383896 8287652857 12054767792 16575305714 33150611428 66301222856 132602445712