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11676467088 = 24331121317183
BaseRepresentation
bin10101101111111100…
…01011111110010000
31010010202022222122000
422313332023332100
5142403133421323
65210351114000
7562232222046
oct126776137620
933122288560
1011676467088
114a52074600
12231a512900
131141117530
147caa80396
15485163e43
hex2b7f8bf90

11676467088 has 240 divisors, whose sum is σ = 39675793920. Its totient is φ = 3265954560.

The previous prime is 11676467003. The next prime is 11676467107. The reversal of 11676467088 is 88076467611.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 670945 + ... + 688127.

It is an arithmetic number, because the mean of its divisors is an integer number (165315808).

Almost surely, 211676467088 is an apocalyptic number.

11676467088 is a gapful number since it is divisible by the number (18) 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 11676467088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19837896960).

11676467088 is an abundant number, since it is smaller than the sum of its proper divisors (27999326832).

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

11676467088 is a wasteful number, since it uses less digits than its factorization.

11676467088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17235 (or 17212 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 11676467088 in words is "eleven billion, six hundred seventy-six million, four hundred sixty-seven thousand, eighty-eight".