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104050084104 = 233219389195527
BaseRepresentation
bin110000011100111011…
…1100100100100001000
3100221120102120221011200
41200321313210210020
53201043310142404
6115444442224200
710342313056611
oct1407167444410
9327512527150
10104050084104
114014461824a
12181ba1b5060
139a72918905
145070cd0c08
152a8eaa4839
hex1839de4908

104050084104 has 96 divisors (see below), whose sum is σ = 297398088000. Its totient is φ = 32773286016.

The previous prime is 104050084091. The next prime is 104050084109. The reversal of 104050084104 is 401480050401.

It is a happy number.

104050084104 is a `hidden beast` number, since 10 + 40 + 500 + 8 + 4 + 104 = 666.

104050084104 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (104050084109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 434389 + ... + 629915.

It is an arithmetic number, because the mean of its divisors is an integer number (3097896750).

Almost surely, 2104050084104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 104050084104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148699044000).

104050084104 is an abundant number, since it is smaller than the sum of its proper divisors (193348003896).

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

104050084104 is a wasteful number, since it uses less digits than its factorization.

104050084104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195947 (or 195940 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The spelling of 104050084104 in words is "one hundred four billion, fifty million, eighty-four thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 19 24 36 38 57 72 76 114 152 171 228 342 389 456 684 778 1167 1368 1556 2334 3112 3501 4668 7002 7391 9336 14004 14782 22173 28008 29564 44346 59128 66519 88692 133038 177384 195527 266076 391054 532152 586581 782108 1173162 1564216 1759743 2346324 3519486 3715013 4692648 7038972 7430026 11145039 14077944 14860052 22290078 29720104 33435117 44580156 66870234 76060003 89160312 133740468 152120006 228180009 267480936 304240012 456360018 608480024 684540027 912720036 1369080054 1445140057 1825440072 2738160108 2890280114 4335420171 5476320216 5780560228 8670840342 11561120456 13006260513 17341680684 26012521026 34683361368 52025042052 104050084104