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11400326520 = 233511101233367
BaseRepresentation
bin10101001111000001…
…10010110101111000
31002102111201120222120
422213200302311320
5141321440422040
65123124321240
7552340114362
oct124740626570
932374646876
1011400326520
114920207060
122261b43220
1310c8b5174b
147a211bd32
1546acb97d0
hex2a7832d78

11400326520 has 256 divisors, whose sum is σ = 37944391680. Its totient is φ = 2717184000.

The previous prime is 11400326513. The next prime is 11400326537. The reversal of 11400326520 is 2562300411.

11400326520 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 31063377 + ... + 31063743.

It is an arithmetic number, because the mean of its divisors is an integer number (148220280).

Almost surely, 211400326520 is an apocalyptic number.

11400326520 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 11400326520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18972195840).

11400326520 is an abundant number, since it is smaller than the sum of its proper divisors (26544065160).

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

11400326520 is a wasteful number, since it uses less digits than its factorization.

11400326520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 726 (or 722 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

Adding to 11400326520 its reverse (2562300411), we get a palindrome (13962626931).

The spelling of 11400326520 in words is "eleven billion, four hundred million, three hundred twenty-six thousand, five hundred twenty".