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83288138006 = 2435397257733
BaseRepresentation
bin100110110010001011…
…1000010000100010110
321221222111022210101002
41031210113002010112
52331033230404011
6102132333503302
76005646330533
oct1154427020426
9257874283332
1083288138006
113235aa89907
1214185041b32
137b14422bc8
144061747d8a
152276ecbc3b
hex13645c2116

83288138006 has 64 divisors (see below), whose sum is σ = 132284674368. Its totient is φ = 39289356288.

The previous prime is 83288137969. The next prime is 83288138027. The reversal of 83288138006 is 60083188238.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 113626016 + ... + 113626748.

It is an arithmetic number, because the mean of its divisors is an integer number (2066948037).

Almost surely, 283288138006 is an apocalyptic number.

83288138006 is a gapful number since it is divisible by the number (86) formed by its first and last digit.

83288138006 is a deficient number, since it is larger than the sum of its proper divisors (48996536362).

83288138006 is a wasteful number, since it uses less digits than its factorization.

83288138006 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1185.

The product of its (nonzero) digits is 442368, while the sum is 47.

The spelling of 83288138006 in words is "eighty-three billion, two hundred eighty-eight million, one hundred thirty-eight thousand, six".

Divisors: 1 2 43 53 86 97 106 194 257 514 733 1466 2279 4171 4558 5141 8342 10282 11051 13621 22102 24929 27242 31519 38849 49858 63038 71101 77698 142202 188381 221063 376762 442126 585703 1071947 1171406 1321237 1670507 2143894 2642474 3057343 3341014 3768353 6114686 7536706 8100383 9984193 16200766 18272957 19968386 36545914 56813191 113626382 162039179 324078358 429320299 785737151 858640598 968466721 1571474302 1936933442 41644069003 83288138006