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11250152352 = 2532291347001
BaseRepresentation
bin10100111101000111…
…11011001110100000
31002001001010221202100
422132203323032200
5141020014333402
65100201450400
7545534500665
oct123643731640
932031127670
1011250152352
114853465a7a
12221b7a0a00
1310a39c14aa
1478a1c9a6c
1545ca0371c
hex29e8fb3a0

11250152352 has 72 divisors (see below), whose sum is σ = 33095839140. Its totient is φ = 3620736000.

The previous prime is 11250152293. The next prime is 11250152359. The reversal of 11250152352 is 25325105211.

11250152352 is a `hidden beast` number, since 11 + 250 + 1 + 52 + 352 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11245329936 + 4822416 = 106044^2 + 2196^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×112501523522 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11250152359) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 665149 + ... + 681852.

Almost surely, 211250152352 is an apocalyptic number.

11250152352 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11250152352 is an abundant number, since it is smaller than the sum of its proper divisors (21845686788).

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

11250152352 is a wasteful number, since it uses less digits than its factorization.

11250152352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1347046 (or 1347035 counting only the distinct ones).

The product of its (nonzero) digits is 3000, while the sum is 27.

Adding to 11250152352 its reverse (25325105211), we get a palindrome (36575257563).

It can be divided in two parts, 11250 and 152352, that multiplied together give a square (1713960000 = 414002).

The spelling of 11250152352 in words is "eleven billion, two hundred fifty million, one hundred fifty-two thousand, three hundred fifty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 29 32 36 48 58 72 87 96 116 144 174 232 261 288 348 464 522 696 928 1044 1392 2088 2784 4176 8352 1347001 2694002 4041003 5388004 8082006 10776008 12123009 16164012 21552016 24246018 32328024 39063029 43104032 48492036 64656048 78126058 96984072 117189087 129312096 156252116 193968144 234378174 312504232 351567261 387936288 468756348 625008464 703134522 937512696 1250016928 1406269044 1875025392 2812538088 3750050784 5625076176 11250152352