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1904549042916 = 223213413612
BaseRepresentation
bin11011101101101111111…
…110000001101011100100
320202001222022000211110100
4123231233332001223210
5222201004023333131
64014534315424100
7254412333520242
oct33555776015344
96661868024410
101904549042916
11674795312a93
12269145755030
1310a7a1340000
1468275a63792
153481d31c7e6
hex1bb6ff81ae4

1904549042916 has 135 divisors (see below), whose sum is σ = 5219287318973. Its totient is φ = 585584513280.

The previous prime is 1904549042861. The next prime is 1904549042953. The reversal of 1904549042916 is 6192409454091.

The square root of 1904549042916 is 1380054.

It is a perfect power (a square), and thus also a powerful number.

1904549042916 is a `hidden beast` number, since 1 + 9 + 0 + 4 + 549 + 0 + 4 + 2 + 91 + 6 = 666.

It can be written as a sum of positive squares in 7 ways, for example, as 1672764569316 + 231784473600 = 1293354^2 + 481440^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1399374076 + ... + 1399375436.

Almost surely, 21904549042916 is an apocalyptic number.

1904549042916 is the 1380054-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1904549042916

1904549042916 is an abundant number, since it is smaller than the sum of its proper divisors (3314738276057).

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

1904549042916 is an frugal number, since it uses more digits than its factorization.

1904549042916 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2784 (or 1379 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1904549042916 in words is "one trillion, nine hundred four billion, five hundred forty-nine million, forty-two thousand, nine hundred sixteen".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1361 1521 2028 2197 2722 3042 4083 4394 5444 6084 6591 8166 8788 12249 13182 16332 17693 19773 24498 26364 28561 35386 39546 48996 53079 57122 70772 79092 85683 106158 114244 159237 171366 212316 230009 257049 318474 342732 460018 514098 636948 690027 920036 1028196 1380054 1852321 2070081 2760108 2990117 3704642 4140162 5556963 5980234 7409284 8280324 8970351 11113926 11960468 16670889 17940702 22227852 24080173 26911053 33341778 35881404 38871521 48160346 53822106 66683556 72240519 77743042 96320692 107644212 116614563 144481038 155486084 216721557 233229126 288962076 313042249 349843689 433443114 466458252 626084498 699687378 866886228 939126747 1252168996 1399374756 1878253494 2817380241 3756506988 4069549237 5634760482 8139098474 11269520964 12208647711 16278196948 24417295422 36625943133 48834590844 52904140081 73251886266 105808280162 146503772532 158712420243 211616560324 317424840486 476137260729 634849680972 952274521458 1904549042916