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2097540096 = 21031574349
BaseRepresentation
bin111110100000101…
…1110110000000000
312102011220002002020
41331001132300000
513243432240341
6544045321440
7102656540151
oct17501366000
95364802066
102097540096
11987008a13
124a6566280
132757392b2
1415c809928
15c422d566
hex7d05ec00

2097540096 has 88 divisors (see below), whose sum is σ = 5627612400. Its totient is φ = 694566912.

The previous prime is 2097540089. The next prime is 2097540097. The reversal of 2097540096 is 6900457902.

It is not an unprimeable number, because it can be changed into a prime (2097540097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 480130 + ... + 484478.

Almost surely, 22097540096 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 2097540096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2813806200).

2097540096 is an abundant number, since it is smaller than the sum of its proper divisors (3530072304).

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

2097540096 is a wasteful number, since it uses less digits than its factorization.

2097540096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4529 (or 4511 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The square root of 2097540096 is about 45798.9093319917. The cubic root of 2097540096 is about 1280.0789534632.

Adding to 2097540096 its reverse (6900457902), we get a palindrome (8997997998).

The spelling of 2097540096 in words is "two billion, ninety-seven million, five hundred forty thousand, ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 157 192 256 314 384 471 512 628 768 942 1024 1256 1536 1884 2512 3072 3768 4349 5024 7536 8698 10048 13047 15072 17396 20096 26094 30144 34792 40192 52188 60288 69584 80384 104376 120576 139168 160768 208752 241152 278336 417504 482304 556672 682793 835008 1113344 1365586 1670016 2048379 2226688 2731172 3340032 4096758 4453376 5462344 6680064 8193516 10924688 13360128 16387032 21849376 32774064 43698752 65548128 87397504 131096256 174795008 262192512 349590016 524385024 699180032 1048770048 2097540096