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11319423360 = 273572791523
BaseRepresentation
bin10101000101011000…
…01011000110000000
31002012212111021201020
422202230023012000
5141140233021420
65111114305440
7550335340200
oct124254130600
932185437636
1011319423360
114889579343
12223aa28280
1310b516625b
1479549c400
15463b38340
hex2a2b0b180

11319423360 has 384 divisors, whose sum is σ = 42530572800. Its totient is φ = 2552868864.

The previous prime is 11319423331. The next prime is 11319423373. The reversal of 11319423360 is 6332491311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7431559 + ... + 7433081.

It is an arithmetic number, because the mean of its divisors is an integer number (110756700).

Almost surely, 211319423360 is an apocalyptic number.

11319423360 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 11319423360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21265286400).

11319423360 is an abundant number, since it is smaller than the sum of its proper divisors (31211149440).

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

11319423360 is a wasteful number, since it uses less digits than its factorization.

11319423360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1619 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 33.

The spelling of 11319423360 in words is "eleven billion, three hundred nineteen million, four hundred twenty-three thousand, three hundred sixty".