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104460628636 = 22721395343019
BaseRepresentation
bin110000101001001010…
…1101011001010011100
3100222122001002202101201
41201102111223022130
53202413410104021
6115553305445244
710355426456500
oct1412225531234
9328561082351
10104460628636
1140335335451
12182b37a0824
139b099ac880
1450ad63c300
152ab5b4c591
hex185256b29c

104460628636 has 72 divisors (see below), whose sum is σ = 229255472880. Its totient is φ = 41280761088.

The previous prime is 104460628633. The next prime is 104460628663. The reversal of 104460628636 is 636826064401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (104460628633) by changing a digit.

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, 2406735 + ... + 2449753.

It is an arithmetic number, because the mean of its divisors is an integer number (3184103790).

Almost surely, 2104460628636 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 104460628636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114627736440).

104460628636 is an abundant number, since it is smaller than the sum of its proper divisors (124794844244).

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

104460628636 is a wasteful number, since it uses less digits than its factorization.

104460628636 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44003 (or 43994 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 46.

The spelling of 104460628636 in words is "one hundred four billion, four hundred sixty million, six hundred twenty-eight thousand, six hundred thirty-six".

Divisors: 1 2 4 7 13 14 26 28 49 52 91 98 182 196 364 637 953 1274 1906 2548 3812 6671 12389 13342 24778 26684 43019 46697 49556 86038 86723 93394 172076 173446 186788 301133 346892 559247 602266 607061 1118494 1204532 1214122 2107931 2236988 2428244 3914729 4215862 7829458 8431724 15658916 27403103 40997107 54806206 81994214 109612412 163988428 286979749 532962391 573959498 1065924782 1147918996 2008858243 2131849564 3730736737 4017716486 7461473474 8035432972 14922946948 26115157159 52230314318 104460628636