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104134624146 = 23276113548611
BaseRepresentation
bin110000011111011101…
…0000100001110010010
3100221210022200000022100
41200332322010032102
53201231430433041
6115501102221230
710344360462210
oct1407672041622
9327708600270
10104134624146
114018830a453
1218222584816
139a872a85c7
14507c219cb0
152a972036b6
hex183ee84392

104134624146 has 48 divisors (see below), whose sum is σ = 262084350528. Its totient is φ = 29264997600.

The previous prime is 104134624109. The next prime is 104134624157. The reversal of 104134624146 is 641426431401.

104134624146 is a `hidden beast` number, since 1 + 0 + 4 + 13 + 4 + 624 + 14 + 6 = 666.

It is a super-3 number, since 3×1041346241463 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 104134624146.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6766620 + ... + 6781991.

It is an arithmetic number, because the mean of its divisors is an integer number (5460090636).

Almost surely, 2104134624146 is an apocalyptic number.

104134624146 is an abundant number, since it is smaller than the sum of its proper divisors (157949726382).

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

104134624146 is a wasteful number, since it uses less digits than its factorization.

104134624146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13548687 (or 13548684 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The spelling of 104134624146 in words is "one hundred four billion, one hundred thirty-four million, six hundred twenty-four thousand, one hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 61 63 122 126 183 366 427 549 854 1098 1281 2562 3843 7686 13548611 27097222 40645833 81291666 94840277 121937499 189680554 243874998 284520831 569041662 826465271 853562493 1652930542 1707124986 2479395813 4958791626 5785256897 7438187439 11570513794 14876374878 17355770691 34711541382 52067312073 104134624146