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132352527776 = 25712715832939
BaseRepresentation
bin111101101000011010…
…0110100110110100000
3110122121212122001001012
41323100310310312200
54132024221342101
6140445114000052
712363550631630
oct1732064646640
9418555561035
10132352527776
1151148608067
1221798716028
13c6333ab7c1
146597acc6c0
15369965dbbb
hex1ed0d34da0

132352527776 has 96 divisors (see below), whose sum is σ = 300429803520. Its totient is φ = 56221191936.

The previous prime is 132352527737. The next prime is 132352527803. The reversal of 132352527776 is 677725253231.

It is a super-3 number, since 3×1323525277763 (a number of 34 digits) contains 333 as substring.

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, 45031715 + ... + 45034653.

It is an arithmetic number, because the mean of its divisors is an integer number (3129477120).

Almost surely, 2132352527776 is an apocalyptic number.

132352527776 is a gapful number since it is divisible by the number (16) 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 132352527776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (150214901760).

132352527776 is an abundant number, since it is smaller than the sum of its proper divisors (168077275744).

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

132352527776 is a wasteful number, since it uses less digits than its factorization.

132352527776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4666 (or 4658 counting only the distinct ones).

The product of its digits is 3704400, while the sum is 50.

The spelling of 132352527776 in words is "one hundred thirty-two billion, three hundred fifty-two million, five hundred twenty-seven thousand, seven hundred seventy-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 127 224 254 508 889 1016 1583 1778 2032 2939 3166 3556 4064 5878 6332 7112 11081 11756 12664 14224 20573 22162 23512 25328 28448 41146 44324 47024 50656 82292 88648 94048 164584 177296 201041 329168 354592 373253 402082 658336 746506 804164 1407287 1493012 1608328 2612771 2814574 2986024 3216656 4652437 5225542 5629148 5972048 6433312 9304874 10451084 11258296 11944096 18609748 20902168 22516592 32567059 37219496 41804336 45033184 65134118 74438992 83608672 130268236 148877984 260536472 521072944 590859499 1042145888 1181718998 2363437996 4136016493 4726875992 8272032986 9453751984 16544065972 18907503968 33088131944 66176263888 132352527776