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11053945400 = 2352199729989
BaseRepresentation
bin10100100101101110…
…11101001000111000
31001112100221121102012
422102313131020320
5140114302223100
65024512225052
7540632662031
oct122267351070
931470847365
1011053945400
114762733873
122185b3b188
1310721647c4
1476c113a88
1544a698135
hex292ddd238

11053945400 has 96 divisors (see below), whose sum is σ = 27332886000. Its totient is φ = 4145541120.

The previous prime is 11053945351. The next prime is 11053945417. The reversal of 11053945400 is 454935011.

11053945400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 353606 + ... + 383594.

Almost surely, 211053945400 is an apocalyptic number.

11053945400 is a gapful number since it is divisible by the number (10) 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 11053945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13666443000).

11053945400 is an abundant number, since it is smaller than the sum of its proper divisors (16278940600).

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

11053945400 is a wasteful number, since it uses less digits than its factorization.

11053945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30121 (or 30112 counting only the distinct ones).

The product of its (nonzero) digits is 10800, while the sum is 32.

The spelling of 11053945400 in words is "eleven billion, fifty-three million, nine hundred forty-five thousand, four hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 76 95 97 100 152 190 194 200 380 388 475 485 760 776 950 970 1843 1900 1940 2425 3686 3800 3880 4850 7372 9215 9700 14744 18430 19400 29989 36860 46075 59978 73720 92150 119956 149945 184300 239912 299890 368600 569791 599780 749725 1139582 1199560 1499450 2279164 2848955 2908933 2998900 4558328 5697910 5817866 5997800 11395820 11635732 14244775 14544665 22791640 23271464 28489550 29089330 55269727 56979100 58178660 72723325 110539454 113958200 116357320 145446650 221078908 276348635 290893300 442157816 552697270 581786600 1105394540 1381743175 2210789080 2763486350 5526972700 11053945400