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11285621136 = 243419943759
BaseRepresentation
bin10101000001010110…
…01110100110010000
31002010111212221210000
422200223032212100
5141103104334021
65103510010000
7546445124346
oct124053164620
932114787700
1011285621136
114871491219
12222b646900
1310ab15c73a
14790bbd996
15460bacb26
hex2a0ace990

11285621136 has 100 divisors (see below), whose sum is σ = 32828752000. Its totient is φ = 3742884288.

The previous prime is 11285621129. The next prime is 11285621143. The reversal of 11285621136 is 63112658211.

11285621136 is a `hidden beast` number, since 1 + 1 + 28 + 5 + 621 + 1 + 3 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (11285621129) and next prime (11285621143).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 11285621136.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 236025 + ... + 279783.

It is an arithmetic number, because the mean of its divisors is an integer number (328287520).

Almost surely, 211285621136 is an apocalyptic number.

11285621136 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 11285621136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16414376000).

11285621136 is an abundant number, since it is smaller than the sum of its proper divisors (21543130864).

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

11285621136 is a wasteful number, since it uses less digits than its factorization.

11285621136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43978 (or 43963 counting only the distinct ones).

The product of its digits is 17280, while the sum is 36.

The spelling of 11285621136 in words is "eleven billion, two hundred eighty-five million, six hundred twenty-one thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 199 216 324 398 432 597 648 796 1194 1296 1592 1791 2388 3184 3582 4776 5373 7164 9552 10746 14328 16119 21492 28656 32238 42984 43759 64476 85968 87518 128952 131277 175036 257904 262554 350072 393831 525108 700144 787662 1050216 1181493 1575324 2100432 2362986 3150648 3544479 4725972 6301296 7088958 8708041 9451944 14177916 17416082 18903888 26124123 28355832 34832164 52248246 56711664 69664328 78372369 104496492 139328656 156744738 208992984 235117107 313489476 417985968 470234214 626978952 705351321 940468428 1253957904 1410702642 1880936856 2821405284 3761873712 5642810568 11285621136