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11344237964928 = 273311317145069
BaseRepresentation
bin1010010100010100100101…
…0001100010111010000000
31111011111110110010011112000
42211011021101202322000
52441330444404334203
640043245421504000
72250410535461451
oct245051121427200
944144413104460
1011344237964928
113684078651000
12133270a412000
136439ac31436b
142b30c7a61128
1514a15292d4a3
hexa5149462e80

11344237964928 has 512 divisors, whose sum is σ = 38993423328000. Its totient is φ = 3235410984960.

The previous prime is 11344237964897. The next prime is 11344237964959. The reversal of 11344237964928 is 82946973244311.

11344237964928 is a `hidden beast` number, since 1 + 1 + 34 + 4 + 23 + 7 + 96 + 492 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (11344237964897) and next prime (11344237964959).

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, 78126378 + ... + 78271446.

Almost surely, 211344237964928 is an apocalyptic number.

11344237964928 is a gapful number since it is divisible by the number (18) 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 11344237964928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19496711664000).

11344237964928 is an abundant number, since it is smaller than the sum of its proper divisors (27649185363072).

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

11344237964928 is a wasteful number, since it uses less digits than its factorization.

11344237964928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145142 (or 145102 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 11344237964928 in words is "eleven trillion, three hundred forty-four billion, two hundred thirty-seven million, nine hundred sixty-four thousand, nine hundred twenty-eight".