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83967139840 = 213517120587
BaseRepresentation
bin100111000110011010…
…1001110000000000000
322000201210222122210011
41032030311032000000
52333431041433330
6102323551114304
76031532624653
oct1161465160000
9260653878704
1083967139840
1132679296a51
1214334512994
137bc1cbc73c
1440c79b789a
1522b690282a
hex138cd4e000

83967139840 has 112 divisors (see below), whose sum is σ = 213364066032. Its totient is φ = 31610896384.

The previous prime is 83967139819. The next prime is 83967139843. The reversal of 83967139840 is 4893176938.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83967139843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 636027 + ... + 756613.

Almost surely, 283967139840 is an apocalyptic number.

83967139840 is a gapful number since it is divisible by the number (80) 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 83967139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (106682033016).

83967139840 is an abundant number, since it is smaller than the sum of its proper divisors (129396926192).

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

83967139840 is a wasteful number, since it uses less digits than its factorization.

83967139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 120635 (or 120611 counting only the distinct ones).

The product of its (nonzero) digits is 7838208, while the sum is 58.

The spelling of 83967139840 in words is "eighty-three billion, nine hundred sixty-seven million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 32 34 40 64 68 80 85 128 136 160 170 256 272 320 340 512 544 640 680 1024 1088 1280 1360 2048 2176 2560 2720 4096 4352 5120 5440 8192 8704 10240 10880 17408 20480 21760 34816 40960 43520 69632 87040 120587 139264 174080 241174 348160 482348 602935 696320 964696 1205870 1929392 2049979 2411740 3858784 4099958 4823480 7717568 8199916 9646960 10249895 15435136 16399832 19293920 20499790 30870272 32799664 38587840 40999580 61740544 65599328 77175680 81999160 123481088 131198656 154351360 163998320 246962176 262397312 308702720 327996640 493924352 524794624 617405440 655993280 987848704 1049589248 1234810880 1311986560 2099178496 2469621760 2623973120 4198356992 4939243520 5247946240 8396713984 10495892480 16793427968 20991784960 41983569920 83967139840