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1099485370368 = 211337111913591
BaseRepresentation
bin11111111111111100110…
…11110101100000000000
310220002222000200212121000
433333332123311200000
5121003221223322433
62201032511132000
7142302162306420
oct17777633654000
93802860625530
101099485370368
1139431a912150
12159107514000
137c8b12a02b8
143b302dc4480
151d9006e8113
hexfffe6f5800

1099485370368 has 768 divisors, whose sum is σ = 4274629632000. Its totient is φ = 270530150400.

The previous prime is 1099485370339. The next prime is 1099485370369. The reversal of 1099485370368 is 8630735849901.

1099485370368 is a `hidden beast` number, since 1 + 0 + 9 + 94 + 8 + 537 + 0 + 3 + 6 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (768).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1099485370369) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 80891253 + ... + 80904843.

It is an arithmetic number, because the mean of its divisors is an integer number (5565924000).

Almost surely, 21099485370368 is an apocalyptic number.

1099485370368 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 1099485370368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2137314816000).

1099485370368 is an abundant number, since it is smaller than the sum of its proper divisors (3175144261632).

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

1099485370368 is a wasteful number, since it uses less digits than its factorization.

1099485370368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13659 (or 13633 counting only the distinct ones).

The product of its (nonzero) digits is 39191040, while the sum is 63.

The spelling of 1099485370368 in words is "one trillion, ninety-nine billion, four hundred eighty-five million, three hundred seventy thousand, three hundred sixty-eight".