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11374308320 = 2551747193461
BaseRepresentation
bin10101001011111011…
…00010101111100000
31002100200202201201112
422211331202233200
5141243310331240
65120354522452
7551603011514
oct124575425740
932320681645
1011374308320
114907556211
122255296428
1310c3641c6b
1479c8a8144
1546887a665
hex2a5f62be0

11374308320 has 192 divisors, whose sum is σ = 29271787776. Its totient is φ = 4160225280.

The previous prime is 11374308287. The next prime is 11374308347. The reversal of 11374308320 is 2380347311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 24672890 + ... + 24673350.

It is an arithmetic number, because the mean of its divisors is an integer number (152457228).

Almost surely, 211374308320 is an apocalyptic number.

11374308320 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 11374308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14635893888).

11374308320 is an abundant number, since it is smaller than the sum of its proper divisors (17897479456).

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

11374308320 is a wasteful number, since it uses less digits than its factorization.

11374308320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 725 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 32.

The spelling of 11374308320 in words is "eleven billion, three hundred seventy-four million, three hundred eight thousand, three hundred twenty".