Search a number
-
+
1107184616890 = 25113611363679
BaseRepresentation
bin10000000111001001010…
…110001000010110111010
310220211211121012010021121
4100013021112020112322
5121120003230220030
62204344504455454
7142664031651322
oct20071126102672
93824747163247
101107184616890
11397610941000
1215a6b5a7a58a
138053a410681
143b833760282
151dc015d647a
hex101c95885ba

1107184616890 has 64 divisors (see below), whose sum is σ = 2228013112320. Its totient is φ = 396012091200.

The previous prime is 1107184616819. The next prime is 1107184616921. The reversal of 1107184616890 is 986164817011.

It is an unprimeable number.

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, 130071 + ... + 1493749.

It is an arithmetic number, because the mean of its divisors is an integer number (34812704880).

Almost surely, 21107184616890 is an apocalyptic number.

1107184616890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1107184616890 is an abundant number, since it is smaller than the sum of its proper divisors (1120828495430).

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

1107184616890 is a wasteful number, since it uses less digits than its factorization.

1107184616890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1363780 (or 1363758 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 52.

The spelling of 1107184616890 in words is "one trillion, one hundred seven billion, one hundred eighty-four million, six hundred sixteen thousand, eight hundred ninety".

Divisors: 1 2 5 10 11 22 55 61 110 121 122 242 305 605 610 671 1210 1331 1342 2662 3355 6655 6710 7381 13310 14762 36905 73810 81191 162382 405955 811910 1363679 2727358 6818395 13636790 15000469 30000938 75002345 83184419 150004690 165005159 166368838 330010318 415922095 825025795 831844190 915028609 1650051590 1815056749 1830057218 3630113498 4575143045 9075283745 9150286090 10065314699 18150567490 20130629398 50326573495 100653146990 110718461689 221436923378 553592308445 1107184616890