Search a number
-
+
9687104294004 = 22321932296088337
BaseRepresentation
bin1000110011110111010001…
…1010010000110001110100
31021022002002221202111002200
42030331310122100301310
52232203142144402004
632334105544104500
72016604321622304
oct214756432206164
937262087674080
109687104294004
1130a5306916a65
121105513765130
1355364a743067
14256c0344d604
1511beb5584239
hex8cf74690c74

9687104294004 has 72 divisors (see below), whose sum is σ = 24721209381960. Its totient is φ = 3198275960832.

The previous prime is 9687104293981. The next prime is 9687104294011. The reversal of 9687104294004 is 4004924017869.

9687104294004 is a `hidden beast` number, since 96 + 87 + 10 + 429 + 40 + 0 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1205380018404 + 8481724275600 = 1097898^2 + 2912340^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1453077 + ... + 4635260.

It is an arithmetic number, because the mean of its divisors is an integer number (343350130305).

Almost surely, 29687104294004 is an apocalyptic number.

It is an amenable number.

9687104294004 is an abundant number, since it is smaller than the sum of its proper divisors (15034105087956).

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

9687104294004 is a wasteful number, since it uses less digits than its factorization.

9687104294004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6088769 (or 6088764 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 9687104294004 in words is "nine trillion, six hundred eighty-seven billion, one hundred four million, two hundred ninety-four thousand, four".

Divisors: 1 2 3 4 6 9 12 18 36 193 229 386 458 579 687 772 916 1158 1374 1737 2061 2316 2748 3474 4122 6948 8244 44197 88394 132591 176788 265182 397773 530364 795546 1591092 6088337 12176674 18265011 24353348 36530022 54795033 73060044 109590066 219180132 1175049041 1394229173 2350098082 2788458346 3525147123 4182687519 4700196164 5576916692 7050294246 8365375038 10575441369 12548062557 14100588492 16730750076 21150882738 25096125114 42301765476 50192250228 269086230389 538172460778 807258691167 1076344921556 1614517382334 2421776073501 3229034764668 4843552147002 9687104294004