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11232001536 = 293710110343
BaseRepresentation
bin10100111010111101…
…01011111000000000
31001222202222210111220
422131132223320000
5141000343022121
65054312435040
7545224303110
oct123536537000
931882883456
1011232001536
114844198aa8
1222156a8a80
1310a0007972
14787a23040
1545b11a6c6
hex29d7abe00

11232001536 has 160 divisors (see below), whose sum is σ = 34539360768. Its totient is φ = 3177062400.

The previous prime is 11232001523. The next prime is 11232001549. The reversal of 11232001536 is 63510023211.

11232001536 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (11232001523) and next prime (11232001549).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 1080781 + ... + 1091123.

Almost surely, 211232001536 is an apocalyptic number.

11232001536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11232001536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17269680384).

11232001536 is an abundant number, since it is smaller than the sum of its proper divisors (23307359232).

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

11232001536 is a wasteful number, since it uses less digits than its factorization.

11232001536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10472 (or 10456 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 24.

Adding to 11232001536 its reverse (63510023211), we get a palindrome (74742024747).

The spelling of 11232001536 in words is "eleven billion, two hundred thirty-two million, one thousand, five hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 101 112 128 168 192 202 224 256 303 336 384 404 448 512 606 672 707 768 808 896 1212 1344 1414 1536 1616 1792 2121 2424 2688 2828 3232 3584 4242 4848 5376 5656 6464 8484 9696 10343 10752 11312 12928 16968 19392 20686 22624 25856 31029 33936 38784 41372 45248 51712 62058 67872 72401 77568 82744 90496 124116 135744 144802 155136 165488 180992 217203 248232 271488 289604 330976 361984 434406 496464 542976 579208 661952 868812 992928 1044643 1085952 1158416 1323904 1737624 1985856 2089286 2316832 2647808 3133929 3475248 3971712 4178572 4633664 5295616 6267858 6950496 7312501 7943424 8357144 9267328 12535716 13900992 14625002 15886848 16714288 18534656 21937503 25071432 27801984 29250004 33428576 37069312 43875006 50142864 55603968 58500008 66857152 87750012 100285728 111207936 117000016 133714304 175500024 200571456 234000032 267428608 351000048 401142912 468000064 534857216 702000096 802285824 936000128 1404000192 1604571648 1872000256 2808000384 3744000512 5616000768 11232001536