Search a number
-
+
11249901742990 = 252924143758753
BaseRepresentation
bin1010001110110101001001…
…1001011010101110001110
31110211110221222212120011011
42203231102121122232032
52433304244321233430
635532044501115434
72240531024020441
oct243552231325616
943743858776134
1011249901742990
113648069282219
1213183813b8b7a
13637b2702c8b1
142ac6d8ccb658
15147980a6522a
hexa3b5265ab8e

11249901742990 has 96 divisors (see below), whose sum is σ = 21983337151776. Its totient is φ = 4140236513280.

The previous prime is 11249901742979. The next prime is 11249901742993. The reversal of 11249901742990 is 9924710994211.

It is a Harshad number since it is a multiple of its sum of digits (58).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11249901742993) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14447454 + ... + 15206206.

It is an arithmetic number, because the mean of its divisors is an integer number (228993095331).

Almost surely, 211249901742990 is an apocalyptic number.

11249901742990 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

11249901742990 is a deficient number, since it is larger than the sum of its proper divisors (10733435408786).

11249901742990 is a wasteful number, since it uses less digits than its factorization.

11249901742990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 758902 (or 758873 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 58.

The spelling of 11249901742990 in words is "eleven trillion, two hundred forty-nine billion, nine hundred one million, seven hundred forty-two thousand, nine hundred ninety".

Divisors: 1 2 5 10 29 41 43 58 82 86 145 205 215 290 410 430 841 1189 1247 1682 1763 2378 2494 3526 4205 5945 6235 8410 8815 11890 12470 17630 34481 36163 51127 68962 72326 102254 172405 180815 255635 344810 361630 511270 758753 1482683 1517506 2965366 3793765 7413415 7587530 14826830 22003837 31108873 32626379 44007674 62217746 65252758 110019185 155544365 163131895 220038370 311088730 326263790 638111273 902157317 946164991 1276222546 1337681539 1804314634 1892329982 2675363078 3190556365 4510786585 4730824955 6381112730 6688407695 9021573170 9461649910 13376815390 26162562193 27438784739 38792764631 52325124386 54877569478 77585529262 130812810965 137193923695 193963823155 261625621930 274387847390 387927646310 1124990174299 2249980348598 5624950871495 11249901742990