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11450673000 = 233353131719101
BaseRepresentation
bin10101010101000001…
…10110011101101000
31002120000110110101000
422222200312131220
5141422333014000
65132123355000
7553521054204
oct125240663550
932500413330
1011450673000
114946674118
122276982a60
1311063cb770
147a8aa5b04
15470412000
hex2aa836768

11450673000 has 1024 divisors, whose sum is σ = 48117888000. Its totient is φ = 2488320000.

The previous prime is 11450672999. The next prime is 11450673007. The reversal of 11450673000 is 37605411.

It is a super-2 number, since 2×114506730002 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (11450673007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 113372950 + ... + 113373050.

It is an arithmetic number, because the mean of its divisors is an integer number (46990125).

Almost surely, 211450673000 is an apocalyptic number.

11450673000 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 11450673000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24058944000).

11450673000 is an abundant number, since it is smaller than the sum of its proper divisors (36667215000).

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

11450673000 is a wasteful number, since it uses less digits than its factorization.

11450673000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The spelling of 11450673000 in words is "eleven billion, four hundred fifty million, six hundred seventy-three thousand".