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104406660033 = 31313731761643
BaseRepresentation
bin110000100111100011…
…1110011001111000001
3100222111021112212101120
41201033013303033001
53202311101110113
6115544101022453
710354202652564
oct1411707631701
9328437485346
10104406660033
1140307923aa5
12182996b4a29
139acb764ca0
1450a63d04db
152ab103ba23
hex184f1f33c1

104406660033 has 32 divisors (see below), whose sum is σ = 151490376576. Its totient is φ = 63579038208.

The previous prime is 104406659983. The next prime is 104406660037. The reversal of 104406660033 is 330066604401.

It is not a de Polignac number, because 104406660033 - 26 = 104406659969 is a prime.

It is a super-3 number, since 3×1044066600333 (a number of 34 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a junction number, because it is equal to n+sod(n) for n = 104406659976 and 104406660003.

It is not an unprimeable number, because it can be changed into a prime (104406660037) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 1662910 + ... + 1724552.

It is an arithmetic number, because the mean of its divisors is an integer number (4734074268).

Almost surely, 2104406660033 is an apocalyptic number.

104406660033 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

104406660033 is a deficient number, since it is larger than the sum of its proper divisors (47083716543).

104406660033 is a wasteful number, since it uses less digits than its factorization.

104406660033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 62113.

The product of its (nonzero) digits is 31104, while the sum is 33.

The spelling of 104406660033 in words is "one hundred four billion, four hundred six million, six hundred sixty thousand, thirty-three".

Divisors: 1 3 13 39 137 317 411 951 1781 4121 5343 12363 43429 61643 130287 184929 564577 801359 1693731 2404077 8445091 19540831 25335273 58622493 109786183 254030803 329358549 762092409 2677093847 8031281541 34802220011 104406660033