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132585376840 = 23573115274813
BaseRepresentation
bin111101101111010110…
…1000100110001001000
3110200020002202222220121
41323132231010301020
54133013324024330
6140524152433024
712402406052110
oct1733655046110
9420202688817
10132585376840
1151257a97004
12218426a8774
13c66c6c7807
1465ba9c2040
1536aed0617a
hex1edeb44c48

132585376840 has 64 divisors (see below), whose sum is σ = 351931714560. Its totient is φ = 43991458560.

The previous prime is 132585376771. The next prime is 132585376841. The reversal of 132585376840 is 48673585231.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (132585376841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7628727 + ... + 7646086.

It is an arithmetic number, because the mean of its divisors is an integer number (5498933040).

Almost surely, 2132585376840 is an apocalyptic number.

132585376840 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132585376840 is an abundant number, since it is smaller than the sum of its proper divisors (219346337720).

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

132585376840 is a wasteful number, since it uses less digits than its factorization.

132585376840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15274862 (or 15274858 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 52.

The spelling of 132585376840 in words is "one hundred thirty-two billion, five hundred eighty-five million, three hundred seventy-six thousand, eight hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 31 35 40 56 62 70 124 140 155 217 248 280 310 434 620 868 1085 1240 1736 2170 4340 8680 15274813 30549626 61099252 76374065 106923691 122198504 152748130 213847382 305496260 427694764 473519203 534618455 610992520 855389528 947038406 1069236910 1894076812 2138473820 2367596015 3314634421 3788153624 4276947640 4735192030 6629268842 9470384060 13258537684 16573172105 18940768120 26517075368 33146344210 66292688420 132585376840