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11143605032 = 2371921573511
BaseRepresentation
bin10100110000011010…
…11110101100101000
31001202121122210022022
422120031132230220
5140310230330112
65041434044012
7543102036260
oct123015365450
931677583268
1011143605032
1147a930243a
1221abb79608
1310878c7841
14779db27a0
154534a8d72
hex29835eb28

11143605032 has 96 divisors (see below), whose sum is σ = 25369845120. Its totient is φ = 4494372480.

The previous prime is 11143605007. The next prime is 11143605037. The reversal of 11143605032 is 23050634111.

It is a junction number, because it is equal to n+sod(n) for n = 11143604992 and 11143605010.

It is not an unprimeable number, because it can be changed into a prime (11143605037) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3172157 + ... + 3175667.

It is an arithmetic number, because the mean of its divisors is an integer number (264269220).

Almost surely, 211143605032 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 11143605032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12684922560).

11143605032 is an abundant number, since it is smaller than the sum of its proper divisors (14226240088).

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

11143605032 is a wasteful number, since it uses less digits than its factorization.

11143605032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3719 (or 3696 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The spelling of 11143605032 in words is "eleven billion, one hundred forty-three million, six hundred five thousand, thirty-two".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 157 266 314 361 532 628 722 1064 1099 1256 1444 2198 2527 2888 2983 3511 4396 5054 5966 7022 8792 10108 11932 14044 20216 20881 23864 24577 28088 41762 49154 56677 66709 83524 98308 113354 133418 167048 196616 226708 266836 396739 453416 466963 533672 551227 793478 933926 1102454 1267471 1586956 1867852 2204908 2534942 3173912 3735704 3858589 4409816 5069884 7717178 8872297 10139768 10473313 15434356 17744594 20946626 30868712 35489188 41893252 70978376 73313191 83786504 146626382 198992947 293252764 397985894 586505528 795971788 1392950629 1591943576 2785901258 5571802516 11143605032