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350642001721037 = 137310127714479127
BaseRepresentation
bin100111110111010000011001…
…1111101001011011011001101
31200222112001021222121102000212
41033232200303331023123031
5331424404304420033122
63241430413430332205
7133600022451620345
oct11756406375133315
91628461258542025
10350642001721037
11a17a848a831854
12333b0928aba065
1312086525465360
146283240677d25
152a8100a925ce2
hex13ee833f4b6cd

350642001721037 has 64 divisors (see below), whose sum is σ = 388283482696704. Its totient is φ = 314681768294400.

The previous prime is 350642001721031. The next prime is 350642001721057. The reversal of 350642001721037 is 730127100246053.

It is a happy number.

It is not a de Polignac number, because 350642001721037 - 216 = 350642001655501 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 350642001720985 and 350642001721003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (350642001721031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 38418095768 + ... + 38418104894.

It is an arithmetic number, because the mean of its divisors is an integer number (6066929417136).

Almost surely, 2350642001721037 is an apocalyptic number.

It is an amenable number.

350642001721037 is a deficient number, since it is larger than the sum of its proper divisors (37641480975667).

350642001721037 is a wasteful number, since it uses less digits than its factorization.

350642001721037 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11038.

The product of its (nonzero) digits is 211680, while the sum is 41.

The spelling of 350642001721037 in words is "three hundred fifty trillion, six hundred forty-two billion, one million, seven hundred twenty-one thousand, thirty-seven".

Divisors: 1 13 73 101 277 949 1313 1447 3601 7373 9127 18811 20221 27977 95849 105631 118651 146147 262873 363701 400819 666271 921827 1373203 1899911 2042321 2528179 5210647 8661523 10668731 11983751 13206769 26550173 29259787 32866327 40482719 67293371 138693503 171687997 184557067 255346079 380377231 526275347 874813823 964094137 1333883669 2399241871 2955238487 3319499027 3658275013 12533223781 17340487697 18640263767 38418100331 47557575169 97373507837 242323428971 267054075949 369485776313 1265855601881 3471702987337 4803315092069 26972461670849 350642001721037