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1100745098896 = 2431284612
BaseRepresentation
bin10000000001001001100…
…001010100011010010000
310220020012211002201021011
4100001021201110122100
5121013311221131041
62201401511340304
7142345326651352
oct20011141243220
93806184081234
101100745098896
11394906a03903
121593b9381694
137ca52277cb1
143b3c24210d2
151d9760d0e81
hex10049854690

1100745098896 has 45 divisors (see below), whose sum is σ = 2203969927689. Its totient is φ = 532555646400.

The previous prime is 1100745098819. The next prime is 1100745098923. The reversal of 1100745098896 is 6988905470011.

The square root of 1100745098896 is 1049164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 920901252496 + 179843846400 = 959636^2 + 424080^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1100745098896.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 130092106 + ... + 130100566.

Almost surely, 21100745098896 is an apocalyptic number.

1100745098896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1100745098896 is the 1049164-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1100745098896

1100745098896 is an abundant number, since it is smaller than the sum of its proper divisors (1103224828793).

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

1100745098896 is an frugal number, since it uses more digits than its factorization.

1100745098896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16992 (or 8494 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 58.

The spelling of 1100745098896 in words is "one trillion, one hundred billion, seven hundred forty-five million, ninety-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 31 62 124 248 496 961 1922 3844 7688 8461 15376 16922 33844 67688 135376 262291 524582 1049164 2098328 4196656 8131021 16262042 32524084 65048168 71588521 130096336 143177042 286354084 572708168 1145416336 2219244151 4438488302 8876976604 17753953208 35507906416 68796568681 137593137362 275186274724 550372549448 1100745098896