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11054541312 = 29331722767
BaseRepresentation
bin10100100101110011…
…01110101000000000
31001112102001212212000
422102321232220000
5140114430310222
65024533104000
7540641023263
oct122271565000
931472055760
1011054541312
114763000561
122186188000
131072312b09
1476c22acda
1544a7649ac
hex292e6ea00

11054541312 has 240 divisors, whose sum is σ = 34772833920. Its totient is φ = 3466838016.

The previous prime is 11054541307. The next prime is 11054541347. The reversal of 11054541312 is 21314545011.

11054541312 is a `hidden beast` number, since 1 + 105 + 4 + 541 + 3 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3993753 + ... + 3996519.

It is an arithmetic number, because the mean of its divisors is an integer number (144886808).

Almost surely, 211054541312 is an apocalyptic number.

11054541312 is a gapful number since it is divisible by the number (12) 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 11054541312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17386416960).

11054541312 is an abundant number, since it is smaller than the sum of its proper divisors (23718292608).

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

11054541312 is an equidigital number, since it uses as much as digits as its factorization.

11054541312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2828 (or 2789 counting only the distinct ones).

The product of its (nonzero) digits is 2400, while the sum is 27.

The spelling of 11054541312 in words is "eleven billion, fifty-four million, five hundred forty-one thousand, three hundred twelve".