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132761723010 = 23575323894993
BaseRepresentation
bin111101110100100110…
…1110010000010000010
3110200200101121022101020
41323221031302002002
54133344000114020
6140553452250310
712406650011640
oct1735115620202
9420611538336
10132761723010
1151338593544
1221891770996
13c69a0bc567
1465d61a8190
1536c053bc40
hex1ee9372082

132761723010 has 128 divisors (see below), whose sum is σ = 371246768640. Its totient is φ = 29754556416.

The previous prime is 132761723009. The next prime is 132761723027. The reversal of 132761723010 is 10327167231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 26587074 + ... + 26592066.

It is an arithmetic number, because the mean of its divisors is an integer number (2900365380).

Almost surely, 2132761723010 is an apocalyptic number.

132761723010 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132761723010, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185623384320).

132761723010 is an abundant number, since it is smaller than the sum of its proper divisors (238485045630).

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

132761723010 is a wasteful number, since it uses less digits than its factorization.

132761723010 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7452.

The product of its (nonzero) digits is 10584, while the sum is 33.

The spelling of 132761723010 in words is "one hundred thirty-two billion, seven hundred sixty-one million, seven hundred twenty-three thousand, ten".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 53 70 105 106 159 210 265 318 371 530 742 795 1113 1590 1855 2226 2389 3710 4778 4993 5565 7167 9986 11130 11945 14334 14979 16723 23890 24965 29958 33446 34951 35835 49930 50169 69902 71670 74895 83615 100338 104853 126617 149790 167230 174755 209706 250845 253234 264629 349510 379851 501690 524265 529258 633085 759702 793887 886319 1048530 1266170 1323145 1587774 1772638 1852403 1899255 2646290 2658957 3704806 3798510 3969435 4431595 5317914 5557209 7938870 8863190 9262015 11114418 11928277 13294785 18524030 23856554 26589570 27786045 35784831 55572090 59641385 71569662 83497939 119282770 166995878 178924155 250493817 357848310 417489695 500987634 632198681 834979390 1252469085 1264397362 1896596043 2504938170 3160993405 3793192086 4425390767 6321986810 8850781534 9482980215 13276172301 18965960430 22126953835 26552344602 44253907670 66380861505 132761723010