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12938140032 = 27368349331
BaseRepresentation
bin11000000110010110…
…00101100110000000
31020101200101121112120
430003023011212000
5202444130440112
65535501124240
7635422242606
oct140313054600
936350347476
1012938140032
11553a274114
122610b59680
1312b262327c
148aa465876
1550acd2e8c
hex3032c5980

12938140032 has 64 divisors (see below), whose sum is σ = 34417949760. Its totient is φ = 4306311680.

The previous prime is 12938140027. The next prime is 12938140049. The reversal of 12938140032 is 23004183921.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×129381400322 (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12938139975 and 12938140002.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 237607 + ... + 286937.

It is an arithmetic number, because the mean of its divisors is an integer number (537780465).

Almost surely, 212938140032 is an apocalyptic number.

12938140032 is a gapful number since it is divisible by the number (12) 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 12938140032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17208974880).

12938140032 is an abundant number, since it is smaller than the sum of its proper divisors (21479809728).

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

12938140032 is an equidigital number, since it uses as much as digits as its factorization.

12938140032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50031 (or 50019 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 33.

The spelling of 12938140032 in words is "twelve billion, nine hundred thirty-eight million, one hundred forty thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 683 1366 2049 2732 4098 5464 8196 10928 16392 21856 32784 43712 49331 65568 87424 98662 131136 147993 197324 262272 295986 394648 591972 789296 1183944 1578592 2367888 3157184 4735776 6314368 9471552 18943104 33693073 67386146 101079219 134772292 202158438 269544584 404316876 539089168 808633752 1078178336 1617267504 2156356672 3234535008 4312713344 6469070016 12938140032