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11630498880 = 2635731113219
BaseRepresentation
bin10101101010011101…
…10101010001000000
31010000112211120002210
422311032311101000
5142304401431010
65202025542120
7561133416000
oct126516652100
933015746083
1011630498880
114a29127a50
122307044940
131134741300
147c4916000
154810d3b20
hex2b53b5440

11630498880 has 1344 divisors, whose sum is σ = 53547264000. Its totient is φ = 2113413120.

The previous prime is 11630498879. The next prime is 11630498909. The reversal of 11630498880 is 8889403611.

It is a tau number, because it is divible by the number of its divisors (1344).

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 191 ways as a sum of consecutive naturals, for example, 612131511 + ... + 612131529.

Almost surely, 211630498880 is an apocalyptic number.

11630498880 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 11630498880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26773632000).

11630498880 is an abundant number, since it is smaller than the sum of its proper divisors (41916765120).

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

11630498880 is a wasteful number, since it uses less digits than its factorization.

11630498880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11630498880 in words is "eleven billion, six hundred thirty million, four hundred ninety-eight thousand, eight hundred eighty".