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11374272000 = 293253721331
BaseRepresentation
bin10101001011111010…
…11001111000000000
31002100200200212220100
422211331121320000
5141243303201000
65120354042400
7551602500600
oct124575317000
932320625810
1011374272000
1149075309a3
122255279400
1310c362b580
1479c898c00
1546886ea00
hex2a5f59e00

11374272000 has 1440 divisors, whose sum is σ = 52978109184. Its totient is φ = 2322432000.

The previous prime is 11374271981. The next prime is 11374272037. The reversal of 11374272000 is 27247311.

It is a happy number.

11374272000 is a `hidden beast` number, since 1 + 1 + 37 + 427 + 200 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 366911985 + ... + 366912015.

Almost surely, 211374272000 is an apocalyptic number.

11374272000 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 11374272000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26489054592).

11374272000 is an abundant number, since it is smaller than the sum of its proper divisors (41603837184).

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

11374272000 is a wasteful number, since it uses less digits than its factorization.

11374272000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 97 (or 61 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The spelling of 11374272000 in words is "eleven billion, three hundred seventy-four million, two hundred seventy-two thousand".