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5640426176 = 267117315679
BaseRepresentation
bin1010100000011001…
…00001001011000000
3112120002110100010012
411100030201023000
543022422114201
62331405524052
7256526555120
oct52014411300
915502410105
105640426176
112434967740
121114b73628
136bb73cca8
143b716cc80
152302ac5bb
hex1503212c0

5640426176 has 112 divisors (see below), whose sum is σ = 14146621440. Its totient is φ = 2167326720.

The previous prime is 5640426167. The next prime is 5640426179. The reversal of 5640426176 is 6716240465.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (5640426179) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 351905 + ... + 367583.

It is an arithmetic number, because the mean of its divisors is an integer number (126309120).

Almost surely, 25640426176 is an apocalyptic number.

5640426176 is a gapful number since it is divisible by the number (56) 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 5640426176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7073310720).

5640426176 is an abundant number, since it is smaller than the sum of its proper divisors (8506195264).

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

5640426176 is a wasteful number, since it uses less digits than its factorization.

5640426176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15782 (or 15772 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 41.

The square root of 5640426176 is about 75102.7707611377. The cubic root of 5640426176 is about 1780.0709242455.

The spelling of 5640426176 in words is "five billion, six hundred forty million, four hundred twenty-six thousand, one hundred seventy-six".

Divisors: 1 2 4 7 8 11 14 16 22 28 32 44 56 64 73 77 88 112 146 154 176 224 292 308 352 448 511 584 616 704 803 1022 1168 1232 1606 2044 2336 2464 3212 4088 4672 4928 5621 6424 8176 11242 12848 15679 16352 22484 25696 31358 32704 44968 51392 62716 89936 109753 125432 172469 179872 219506 250864 344938 359744 439012 501728 689876 878024 1003456 1144567 1207283 1379752 1756048 2289134 2414566 2759504 3512096 4578268 4829132 5519008 7024192 8011969 9156536 9658264 11038016 12590237 16023938 18313072 19316528 25180474 32047876 36626144 38633056 50360948 64095752 73252288 77266112 88131659 100721896 128191504 176263318 201443792 256383008 352526636 402887584 512766016 705053272 805775168 1410106544 2820213088 5640426176