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132835581768 = 23343618325423
BaseRepresentation
bin111101110110110011…
…1100001111101001000
3110200212112120201112210
41323231213201331020
54134021402104033
6141005051305120
712411534546411
oct1735547417510
9420775521483
10132835581768
115137624a73a
12218b244b1a0
13c6ac4ac576
146601d12808
1536c6c7ad63
hex1eed9e1f48

132835581768 has 128 divisors (see below), whose sum is σ = 349557626880. Its totient is φ = 42025616640.

The previous prime is 132835581763. The next prime is 132835581773. The reversal of 132835581768 is 867185538231.

It is an interprime number because it is at equal distance from previous prime (132835581763) and next prime (132835581773).

It is not an unprimeable number, because it can be changed into a prime (132835581763) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5212305 + ... + 5237727.

It is an arithmetic number, because the mean of its divisors is an integer number (2730918960).

Almost surely, 2132835581768 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 132835581768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174778813440).

132835581768 is an abundant number, since it is smaller than the sum of its proper divisors (216722045112).

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

132835581768 is a wasteful number, since it uses less digits than its factorization.

132835581768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25619 (or 25615 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 132835581768 in words is "one hundred thirty-two billion, eight hundred thirty-five million, five hundred eighty-one thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 24 43 61 83 86 122 129 166 172 183 244 249 258 332 344 366 488 498 516 664 732 996 1032 1464 1992 2623 3569 5063 5246 7138 7869 10126 10492 10707 14276 15189 15738 20252 20984 21414 25423 28552 30378 31476 40504 42828 50846 60756 62952 76269 85656 101692 121512 152538 203384 217709 305076 435418 610152 653127 870836 1093189 1306254 1550803 1741672 2110109 2186378 2612508 3101606 3279567 4220218 4372756 4652409 5225016 6203212 6330327 6559134 8440436 8745512 9304818 12406424 12660654 13118268 16880872 18609636 25321308 26236536 37219272 50642616 66684529 90734687 128716649 133369058 181469374 200053587 257433298 266738116 272204061 362938748 386149947 400107174 514866596 533476232 544408122 725877496 772299894 800214348 1029733192 1088816244 1544599788 1600428696 2177632488 3089199576 5534815907 11069631814 16604447721 22139263628 33208895442 44278527256 66417790884 132835581768