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104398641828 = 223313671109821
BaseRepresentation
bin110000100111010100…
…1001101101010100100
3100222110201110111111000
41201032221031222210
53202302023014303
6115543213113300
710354044546105
oct1411651155244
9328421414430
10104398641828
1140303347888
1218296a88830
139ac9bb84a0
1450a53043ac
152ab04a5da3
hex184ea4daa4

104398641828 has 96 divisors (see below), whose sum is σ = 295834152320. Its totient is φ = 31643187840.

The previous prime is 104398641811. The next prime is 104398641829. The reversal of 104398641828 is 828146893401.

It is a happy number.

104398641828 is a `hidden beast` number, since 10 + 4 + 398 + 64 + 182 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (104398641829) 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 31 ways as a sum of consecutive naturals, for example, 460843 + ... + 648978.

Almost surely, 2104398641828 is an apocalyptic number.

104398641828 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

104398641828 is an abundant number, since it is smaller than the sum of its proper divisors (191435510492).

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

104398641828 is a wasteful number, since it uses less digits than its factorization.

104398641828 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1109914 (or 1109906 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 104398641828 in words is "one hundred four billion, three hundred ninety-eight million, six hundred forty-one thousand, eight hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 67 78 108 117 134 156 201 234 268 351 402 468 603 702 804 871 1206 1404 1742 1809 2412 2613 3484 3618 5226 7236 7839 10452 15678 23517 31356 47034 94068 1109821 2219642 3329463 4439284 6658926 9988389 13317852 14427673 19976778 28855346 29965167 39953556 43283019 57710692 59930334 74358007 86566038 119860668 129849057 148716014 173132076 223074021 259698114 297432028 389547171 446148042 519396228 669222063 779094342 892296084 966654091 1338444126 1558188684 1933308182 2007666189 2676888252 2899962273 3866616364 4015332378 5799924546 8030664756 8699886819 11599849092 17399773638 26099660457 34799547276 52199320914 104398641828