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132683017776 = 2435591494407
BaseRepresentation
bin111101110010010000…
…1100010111000110000
3110200110220111200002120
41323210201202320300
54133213323032101
6140542001314240
712405003020421
oct1734441427060
9420426450076
10132683017776
11512a81170a1
122186b335980
13c6869c360a
1465c995b648
1536b8691b36
hex1ee4862e30

132683017776 has 40 divisors (see below), whose sum is σ = 342826462464. Its totient is φ = 44219672640.

The previous prime is 132683017769. The next prime is 132683017777. The reversal of 132683017776 is 677710386231.

It is a super-2 number, since 2×1326830177762 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (132683017777) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 21165 + ... + 515571.

Almost surely, 2132683017776 is an apocalyptic number.

132683017776 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

132683017776 is an abundant number, since it is smaller than the sum of its proper divisors (210143444688).

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

132683017776 is a wasteful number, since it uses less digits than its factorization.

132683017776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 500009 (or 500003 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 51.

The spelling of 132683017776 in words is "one hundred thirty-two billion, six hundred eighty-three million, seventeen thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 24 48 5591 11182 16773 22364 33546 44728 67092 89456 134184 268368 494407 988814 1483221 1977628 2966442 3955256 5932884 7910512 11865768 23731536 2764229537 5528459074 8292688611 11056918148 16585377222 22113836296 33170754444 44227672592 66341508888 132683017776