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1097884672 = 2101576829
BaseRepresentation
bin100000101110000…
…0110010000000000
32211111212022122021
41001130012100000
54222024302142
6300535251224
736130602643
oct10134062000
92744768567
101097884672
11513800005
12267819b14
131465bcc01
14a5b4ba5a
15665b9267
hex41706400

1097884672 has 44 divisors (see below), whose sum is σ = 2208999580. Its totient is φ = 545366016.

The previous prime is 1097884661. The next prime is 1097884673. The reversal of 1097884672 is 2764887901.

It can be written as a sum of positive squares in 2 ways, for example, as 455566336 + 642318336 = 21344^2 + 25344^2 .

It is not an unprimeable number, because it can be changed into a prime (1097884673) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 157354 + ... + 164182.

Almost surely, 21097884672 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1097884672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1104499790).

1097884672 is an abundant number, since it is smaller than the sum of its proper divisors (1111114908).

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

1097884672 is an equidigital number, since it uses as much as digits as its factorization.

1097884672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7006 (or 6988 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The square root of 1097884672 is about 33134.3427881103. The cubic root of 1097884672 is about 1031.6179905344.

The spelling of 1097884672 in words is "one billion, ninety-seven million, eight hundred eighty-four thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 64 128 157 256 314 512 628 1024 1256 2512 5024 6829 10048 13658 20096 27316 40192 54632 80384 109264 160768 218528 437056 874112 1072153 1748224 2144306 3496448 4288612 6992896 8577224 17154448 34308896 68617792 137235584 274471168 548942336 1097884672