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5749996347225 = 345213240992
BaseRepresentation
bin101001110101100011001…
…1111010101111101011001
3202100200202010120010010000
41103223012133111331121
51223201443031102400
620121302321043213
71132265161346004
oct123530637257531
922320663503100
105749996347225
111917618043889
1278a47a186509
133292b75c2400
1415c430b0a53b
159e885b9b600
hex53ac67d5f59

5749996347225 has 135 divisors (see below), whose sum is σ = 11536125041133. Its totient is φ = 2830076832960.

The previous prime is 5749996347217. The next prime is 5749996347229. The reversal of 5749996347225 is 5227436999475.

The square root of 5749996347225 is 2397915.

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

5749996347225 is a `hidden beast` number, since 5 + 7 + 4 + 9 + 99 + 63 + 472 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1482070064409 + 4267926282816 = 1217403^2 + 2065896^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is not a de Polignac number, because 5749996347225 - 23 = 5749996347217 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5749996347229) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1402778226 + ... + 1402782324.

Almost surely, 25749996347225 is an apocalyptic number.

5749996347225 is the 2397915-th square number.

5749996347225 is the 1198958-th centered octagonal number.

It is an amenable number.

5749996347225 is an abundant number, since it is smaller than the sum of its proper divisors (5786128693908).

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

5749996347225 is an frugal number, since it uses more digits than its factorization.

5749996347225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8246 (or 4120 counting only the distinct ones).

The product of its digits is 1028764800, while the sum is 72.

The spelling of 5749996347225 in words is "five trillion, seven hundred forty-nine billion, nine hundred ninety-six million, three hundred forty-seven thousand, two hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 27 39 45 65 75 81 117 135 169 195 225 325 351 405 507 585 675 845 975 1053 1521 1755 2025 2535 2925 4099 4225 4563 5265 7605 8775 12297 12675 13689 20495 22815 26325 36891 38025 53287 61485 68445 102475 110673 114075 159861 184455 266435 307425 332019 342225 479583 553365 692731 799305 922275 1332175 1438749 1660095 2078193 2397915 2766825 3463655 3996525 4316247 6234579 7193745 8300475 10390965 11989575 16801801 17318275 18703737 21581235 31172895 35968725 50405403 51954825 56111211 84009005 93518685 107906175 151216209 155864475 218423413 252027015 280556055 420045025 453648627 467593425 655270239 756081045 1092117065 1260135075 1360945881 1402780275 1965810717 2268243135 2839504369 3276351195 3780405225 5460585325 5897432151 6804729405 8518513107 9829053585 11341215675 14197521845 16381755975 17692296453 25555539321 29487160755 34023647025 42592565535 49145267925 70987609225 76666617963 88461482265 127777696605 147435803775 212962827675 229999853889 383333089815 442307411325 638888483025 1149999269445 1916665449075 5749996347225