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11230274880 = 26325111073313
BaseRepresentation
bin10100111010110000…
…00110010101000000
31001222122202001222200
422131120012111000
5140444422244010
65054211433200
7545203522116
oct123530062500
931878661880
1011230274880
114843219810
122214bb5800
13109c851a86
147876d3ab6
1545adc8cc0
hex29d606540

11230274880 has 336 divisors, whose sum is σ = 42545715264. Its totient is φ = 2696232960.

The previous prime is 11230274857. The next prime is 11230274899. The reversal of 11230274880 is 8847203211.

It is a super-2 number, since 2×112302748802 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3388104 + ... + 3391416.

Almost surely, 211230274880 is an apocalyptic number.

11230274880 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 11230274880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21272857632).

11230274880 is an abundant number, since it is smaller than the sum of its proper divisors (31315440384).

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

11230274880 is a wasteful number, since it uses less digits than its factorization.

11230274880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3454 (or 3441 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The spelling of 11230274880 in words is "eleven billion, two hundred thirty million, two hundred seventy-four thousand, eight hundred eighty".