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11249487396 = 223271913916903
BaseRepresentation
bin10100111101000010…
…11000111000100100
31002000222220011121100
422132201120320210
5141014332044041
65100135320100
7545526031230
oct123641307044
932028804540
1011249487396
114853051424
12221b520030
1310a381a924
1478a0955c0
1545c9216b6
hex29e858e24

11249487396 has 144 divisors (see below), whose sum is σ = 34457113600. Its totient is φ = 3022888896.

The previous prime is 11249487383. The next prime is 11249487397. The reversal of 11249487396 is 69378494211.

11249487396 is a `hidden beast` number, since 1 + 1 + 249 + 4 + 8 + 7 + 396 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (11249487397) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 657081 + ... + 673983.

Almost surely, 211249487396 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11249487396, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17228556800).

11249487396 is an abundant number, since it is smaller than the sum of its proper divisors (23207626204).

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

11249487396 is a wasteful number, since it uses less digits than its factorization.

11249487396 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17078 (or 17073 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The spelling of 11249487396 in words is "eleven billion, two hundred forty-nine million, four hundred eighty-seven thousand, three hundred ninety-six".

Divisors: 1 2 3 4 6 7 9 12 14 18 19 21 28 36 38 42 57 63 76 84 114 126 133 139 171 228 252 266 278 342 399 417 532 556 684 798 834 973 1197 1251 1596 1668 1946 2394 2502 2641 2919 3892 4788 5004 5282 5838 7923 8757 10564 11676 15846 16903 17514 18487 23769 31692 33806 35028 36974 47538 50709 55461 67612 73948 95076 101418 110922 118321 152127 166383 202836 221844 236642 304254 321157 332766 354963 473284 608508 642314 665532 709926 963471 1064889 1284628 1419852 1926942 2129778 2248099 2349517 2890413 3853884 4259556 4496198 4699034 5780826 6744297 7048551 8992396 9398068 11561652 13488594 14097102 16446619 20232891 21145653 26977188 28194204 32893238 40465782 42291306 44640823 49339857 65786476 80931564 84582612 89281646 98679714 133922469 148019571 178563292 197359428 267844938 296039142 312485761 401767407 535689876 592078284 624971522 803534814 937457283 1249943044 1607069628 1874914566 2812371849 3749829132 5624743698 11249487396