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11816669280 = 25351323137127
BaseRepresentation
bin10110000000101010…
…00001000001100000
31010111112010222212210
423000111001001200
5143200031404110
65232320122120
7565554013563
oct130025010140
933445128783
1011816669280
115014224589
122359466340
131164195900
148015384da
1549260a520
hex2c0541060

11816669280 has 576 divisors, whose sum is σ = 43067179008. Its totient is φ = 2717245440.

The previous prime is 11816669261. The next prime is 11816669299. The reversal of 11816669280 is 8296661811.

It is an interprime number because it is at equal distance from previous prime (11816669261) and next prime (11816669299).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 93044577 + ... + 93044703.

It is an arithmetic number, because the mean of its divisors is an integer number (74769408).

Almost surely, 211816669280 is an apocalyptic number.

11816669280 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 11816669280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21533589504).

11816669280 is an abundant number, since it is smaller than the sum of its proper divisors (31250509728).

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

11816669280 is a wasteful number, since it uses less digits than its factorization.

11816669280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239 (or 218 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 48.

The spelling of 11816669280 in words is "eleven billion, eight hundred sixteen million, six hundred sixty-nine thousand, two hundred eighty".