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269030780928 = 21232713231199
BaseRepresentation
bin1111101010001101111…
…0111111000000000000
3221201102012212200202100
43322203132333000000
513401433334442203
6323331355150400
725302555623040
oct3724336770000
9851365780670
10269030780928
11a4105953678
1244181a45400
131c4a5a15c00
14d0420bd720
156ee8933ea3
hex3ea37bf000

269030780928 has 936 divisors, whose sum is σ = 997703116800. Its totient is φ = 68319313920.

The previous prime is 269030780861. The next prime is 269030780989. The reversal of 269030780928 is 829087030962.

It is a happy number.

269030780928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (936).

It is a super-2 number, since 2×2690307809282 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1351913373 + ... + 1351913571.

Almost surely, 2269030780928 is an apocalyptic number.

269030780928 is a gapful number since it is divisible by the number (28) 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 269030780928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (498851558400).

269030780928 is an abundant number, since it is smaller than the sum of its proper divisors (728672335872).

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

269030780928 is a wasteful number, since it uses less digits than its factorization.

269030780928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 293 (or 255 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The spelling of 269030780928 in words is "two hundred sixty-nine billion, thirty million, seven hundred eighty thousand, nine hundred twenty-eight".