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11055498480 = 24325131726167
BaseRepresentation
bin10100100101111010…
…11000010011110000
31001112110212111211200
422102331120103300
5140120201422410
65025005411200
7540652120665
oct122275302360
931473774750
1011055498480
1147635a4704
122186569b00
1310725896a0
1476c3d9a6c
1544a8a33c0
hex292f584f0

11055498480 has 720 divisors, whose sum is σ = 43815049824. Its totient is φ = 2481684480.

The previous prime is 11055498469. The next prime is 11055498499. The reversal of 11055498480 is 8489455011.

It is a happy number.

11055498480 is a `hidden beast` number, since 1 + 1 + 0 + 554 + 98 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 165007407 + ... + 165007473.

Almost surely, 211055498480 is an apocalyptic number.

11055498480 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 11055498480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21907524912).

11055498480 is an abundant number, since it is smaller than the sum of its proper divisors (32759551344).

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

11055498480 is a wasteful number, since it uses less digits than its factorization.

11055498480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 45.

The spelling of 11055498480 in words is "eleven billion, fifty-five million, four hundred ninety-eight thousand, four hundred eighty".