Search a number
-
+
11047506900 = 2235271951217
BaseRepresentation
bin10100100100111101…
…11001001111010100
31001111220211111110020
422102132321033110
5140111130210100
65024122225140
7540524154633
oct122236711724
931456744406
1011047506900
11475a0364a1
1221839551b0
131070a1c041
1476b31951a
15449d255a0
hex2927b93d4

11047506900 has 72 divisors (see below), whose sum is σ = 32009201280. Its totient is φ = 2941847040.

The previous prime is 11047506881. The next prime is 11047506917. The reversal of 11047506900 is 960574011.

It is a super-2 number, since 2×110475069002 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 190092 + ... + 241308.

It is an arithmetic number, because the mean of its divisors is an integer number (444572240).

Almost surely, 211047506900 is an apocalyptic number.

11047506900 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 11047506900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16004600640).

11047506900 is an abundant number, since it is smaller than the sum of its proper divisors (20961694380).

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

11047506900 is a wasteful number, since it uses less digits than its factorization.

11047506900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51953 (or 51946 counting only the distinct ones).

The product of its (nonzero) digits is 7560, while the sum is 33.

The spelling of 11047506900 in words is "eleven billion, forty-seven million, five hundred six thousand, nine hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 719 1438 2157 2876 3595 4314 7190 8628 10785 14380 17975 21570 35950 43140 51217 53925 71900 102434 107850 153651 204868 215700 256085 307302 512170 614604 768255 1024340 1280425 1536510 2560850 3073020 3841275 5121700 7682550 15365100 36825023 73650046 110475069 147300092 184125115 220950138 368250230 441900276 552375345 736500460 920625575 1104750690 1841251150 2209501380 2761876725 3682502300 5523753450 11047506900