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127383000396 = 223131385321031
BaseRepresentation
bin111011010100010011…
…1100101010101001100
3110011210112120220001120
41312220213211111030
54041340022003041
6134304031440540
712126445431621
oct1665047452514
9404715526046
10127383000396
114a028423643
1220830386150
13c02095c062
146245ac0348
1534a8226366
hex1da89e554c

127383000396 has 48 divisors (see below), whose sum is σ = 299587884288. Its totient is φ = 42123931200.

The previous prime is 127383000389. The next prime is 127383000401. The reversal of 127383000396 is 693000383721.

It is a happy number.

127383000396 is a nontrivial binomial coefficient, being equal to C(504744, 2).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6046401 + ... + 6067431.

It is an arithmetic number, because the mean of its divisors is an integer number (6241414256).

Almost surely, 2127383000396 is an apocalyptic number.

127383000396 is the 504743-rd triangular number and also the 252372-nd hexagonal number.

It is an amenable number.

127383000396 is an abundant number, since it is smaller than the sum of its proper divisors (172204883892).

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

127383000396 is a wasteful number, since it uses less digits than its factorization.

127383000396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25022 (or 25020 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 42.

The spelling of 127383000396 in words is "one hundred twenty-seven billion, three hundred eighty-three million, three hundred ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 12 131 262 393 524 786 1572 3853 7706 11559 15412 21031 23118 42062 46236 63093 84124 126186 252372 504743 1009486 1514229 2018972 2755061 3028458 5510122 6056916 8265183 11020244 16530366 33060732 81032443 162064886 243097329 324129772 486194658 972389316 10615250033 21230500066 31845750099 42461000132 63691500198 127383000396