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138649941801 = 32721015875303
BaseRepresentation
bin1000000100100000101…
…1100011011100101001
3111020212202022211001200
42001020023203130221
54232423341114201
6143410033234413
713005606026400
oct2011013433451
9436782284050
10138649941801
115388a306468
1222a55702a09
13100c7c7b2a7
1469d41da637
153917444386
hex20482e3729

138649941801 has 72 divisors (see below), whose sum is σ = 235721513664. Its totient is φ = 78295694400.

The previous prime is 138649941791. The next prime is 138649941811. The reversal of 138649941801 is 108149946831.

138649941801 is a `hidden beast` number, since 1 + 38 + 6 + 499 + 41 + 80 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (138649941791) and next prime (138649941811).

It is not a de Polignac number, because 138649941801 - 218 = 138649679657 is a prime.

It is a super-2 number, since 2×1386499418012 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (138649941811) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 26142916 + ... + 26148218.

It is an arithmetic number, because the mean of its divisors is an integer number (3273909912).

Almost surely, 2138649941801 is an apocalyptic number.

It is an amenable number.

138649941801 is a deficient number, since it is larger than the sum of its proper divisors (97071571863).

138649941801 is a wasteful number, since it uses less digits than its factorization.

138649941801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6011 (or 6001 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 54.

The spelling of 138649941801 in words is "one hundred thirty-eight billion, six hundred forty-nine million, nine hundred forty-one thousand, eight hundred one".

Divisors: 1 3 7 9 21 49 63 101 147 303 441 587 707 909 1761 2121 4109 4949 5283 5303 6363 12327 14847 15909 28763 36981 37121 44541 47727 59287 86289 111363 177861 258867 259847 334089 415009 533583 535603 779541 1245027 1606809 2338623 2905063 3112861 3735081 3749221 4820427 8715189 9338583 11247663 21790027 26145567 26244547 28015749 33742989 65370081 78733641 152530189 196110243 236200923 314398961 457590567 943196883 1372771701 2200792727 2829590649 6602378181 15405549089 19807134543 46216647267 138649941801