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138003051392 = 274722711801
BaseRepresentation
bin1000000010000110011…
…1110111001110000000
3111012012200002101020122
42000201213313032000
54230112240121032
6143221524155412
712653562403463
oct2004147671600
9435180071218
10138003051392
1153588141098
12228b4b38b68
1310023c457bb
1469723292da
1538ca763012
hex20219f7380

138003051392 has 96 divisors (see below), whose sum is σ = 282095027040. Its totient is φ = 67246848000.

The previous prime is 138003051377. The next prime is 138003051397. The reversal of 138003051392 is 293150300831.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138003051397) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76624892 + ... + 76626692.

It is an arithmetic number, because the mean of its divisors is an integer number (2938489865).

Almost surely, 2138003051392 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138003051392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141047513520).

138003051392 is an abundant number, since it is smaller than the sum of its proper divisors (144091975648).

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

138003051392 is an equidigital number, since it uses as much as digits as its factorization.

138003051392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2180 (or 2121 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 35.

The spelling of 138003051392 in words is "one hundred thirty-eight billion, three million, fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 271 376 542 752 1084 1504 1801 2168 2209 3008 3602 4336 4418 6016 7204 8672 8836 12737 14408 17344 17672 25474 28816 34688 35344 50948 57632 70688 84647 101896 115264 141376 169294 203792 230528 282752 338588 407584 488071 598639 677176 815168 976142 1197278 1354352 1630336 1952284 2394556 2708704 3904568 3978409 4789112 5417408 7809136 7956818 9578224 10834816 15618272 15913636 19156448 22939337 31236544 31827272 38312896 45878674 62473088 63654544 76625792 91757348 127309088 183514696 254618176 367029392 509236352 734058784 1078148839 1468117568 2156297678 2936235136 4312595356 8625190712 17250381424 34500762848 69001525696 138003051392