Search a number
-
+
11451504253 = 729231131479
BaseRepresentation
bin10101010101001000…
…00001011001111101
31002120002000200122011
422222210001121331
5141423041114003
65132153251221
7553531115530
oct125244013175
932502020564
1011451504253
114947091702
122277103b11
13110662cc27
147a8c40a17
1547052846d
hex2aa90167d

11451504253 has 48 divisors (see below), whose sum is σ = 14127759360. Its totient is φ = 9082382400.

The previous prime is 11451504203. The next prime is 11451504277. The reversal of 11451504253 is 35240515411.

It is not a de Polignac number, because 11451504253 - 217 = 11451373181 is a prime.

It is a super-2 number, since 2×114515042532 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11451504203) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 23906868 + ... + 23907346.

It is an arithmetic number, because the mean of its divisors is an integer number (294328320).

Almost surely, 211451504253 is an apocalyptic number.

It is an amenable number.

11451504253 is a deficient number, since it is larger than the sum of its proper divisors (2676255107).

11451504253 is a wasteful number, since it uses less digits than its factorization.

11451504253 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 706 (or 677 counting only the distinct ones).

The product of its (nonzero) digits is 12000, while the sum is 31.

The spelling of 11451504253 in words is "eleven billion, four hundred fifty-one million, five hundred four thousand, two hundred fifty-three".

Divisors: 1 7 29 31 131 203 217 479 841 899 917 3353 3799 4061 5887 6293 13891 14849 26071 26593 28427 62749 97237 103943 110171 117769 182497 402839 430621 439243 771197 824383 1819721 1945219 2819873 3014347 3415301 12488009 12738047 13616533 23907107 52771909 56411351 87416063 369403363 394879457 1635929179 11451504253