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2097498368 = 2874612539
BaseRepresentation
bin111110100000101…
…0100100100000000
312102011210221211202
41331001110210000
513243424421433
6544044400332
7102656304410
oct17501244400
95364727752
102097498368
11986a8a629
124a65460a8
132757232c4
1415c7d8640
15c4220ee8
hex7d054900

2097498368 has 72 divisors (see below), whose sum is σ = 4797186240. Its totient is φ = 896624640.

The previous prime is 2097498353. The next prime is 2097498371. The reversal of 2097498368 is 8638947902.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (56).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 824843 + ... + 827381.

Almost surely, 22097498368 is an apocalyptic number.

2097498368 is a gapful number since it is divisible by the number (28) 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 2097498368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2398593120).

2097498368 is an abundant number, since it is smaller than the sum of its proper divisors (2699687872).

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

2097498368 is an equidigital number, since it uses as much as digits as its factorization.

2097498368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3023 (or 3009 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 56.

The square root of 2097498368 is about 45798.4537730260. The cubic root of 2097498368 is about 1280.0704648708.

The spelling of 2097498368 in words is "two billion, ninety-seven million, four hundred ninety-eight thousand, three hundred sixty-eight".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 256 448 461 896 922 1792 1844 2539 3227 3688 5078 6454 7376 10156 12908 14752 17773 20312 25816 29504 35546 40624 51632 59008 71092 81248 103264 118016 142184 162496 206528 284368 324992 413056 568736 649984 826112 1137472 1170479 2274944 2340958 4549888 4681916 8193353 9363832 16386706 18727664 32773412 37455328 65546824 74910656 131093648 149821312 262187296 299642624 524374592 1048749184 2097498368