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11372312304 = 2433313759389
BaseRepresentation
bin10101001011101011…
…11011011011110000
31002100120000022201000
422211311323123300
5141242302443204
65120244042000
7551550026313
oct124565733360
932316008630
1011372312304
114906412611
122254693300
1310c30c35a2
1479c50897a
154685d4039
hex2a5d7b6f0

11372312304 has 320 divisors, whose sum is σ = 35283456000. Its totient is φ = 3499822080.

The previous prime is 11372312293. The next prime is 11372312317. The reversal of 11372312304 is 40321327311.

It is a happy number.

11372312304 is a `hidden beast` number, since 11 + 37 + 2 + 312 + 304 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 29234542 + ... + 29234930.

It is an arithmetic number, because the mean of its divisors is an integer number (110260800).

Almost surely, 211372312304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11372312304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17641728000).

11372312304 is an abundant number, since it is smaller than the sum of its proper divisors (23911143696).

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

11372312304 is a wasteful number, since it uses less digits than its factorization.

11372312304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 521 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

Adding to 11372312304 its reverse (40321327311), we get a palindrome (51693639615).

It can be divided in two parts, 1137 and 2312304, that added together give a 4-th power (2313441 = 394).

The spelling of 11372312304 in words is "eleven billion, three hundred seventy-two million, three hundred twelve thousand, three hundred four".