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299976385401 = 327211223712
BaseRepresentation
bin1000101110101111111…
…11000110001101111001
31001200021212111021121100
410113113333012031321
514403322423313101
6345450211002013
730446460130200
oct4272777061571
91050255437540
10299976385401
11106245938300
124a179599309
1322397c81184
1410739d56237
157c0a596e86
hex45d7fc6379

299976385401 has 81 divisors (see below), whose sum is σ = 554263353189. Its totient is φ = 155766164400.

The previous prime is 299976385391. The next prime is 299976385421. The reversal of 299976385401 is 104583679992.

The square root of 299976385401 is 547701.

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

299976385401 is a `hidden beast` number, since 2 + 9 + 9 + 97 + 63 + 85 + 401 = 666.

It is not a de Polignac number, because 299976385401 - 215 = 299976352633 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (299976385421) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126517746 + ... + 126520116.

It is a 1-persistent number, because it is pandigital, but 2⋅299976385401 = 599952770802 is not.

Almost surely, 2299976385401 is an apocalyptic number.

299976385401 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

299976385401 is the 547701-st square number.

299976385401 is the 273851-st centered octagonal number.

It is an amenable number.

299976385401 is a deficient number, since it is larger than the sum of its proper divisors (254286967788).

299976385401 is an equidigital number, since it uses as much as digits as its factorization.

299976385401 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4784 (or 2392 counting only the distinct ones).

The product of its (nonzero) digits is 29393280, while the sum is 63.

The spelling of 299976385401 in words is "two hundred ninety-nine billion, nine hundred seventy-six million, three hundred eighty-five thousand, four hundred one".

Divisors: 1 3 7 9 11 21 33 49 63 77 99 121 147 231 363 441 539 693 847 1089 1617 2371 2541 4851 5929 7113 7623 16597 17787 21339 26081 49791 53361 78243 116179 149373 182567 234729 286891 348537 547701 860673 1045611 1277969 1643103 2008237 2582019 3833907 5621641 6024711 11501721 14057659 16864923 18074133 39351487 42172977 50594769 61838051 118054461 126518931 185514153 275460409 354163383 432866357 556542459 680218561 826381227 1298599071 2040655683 2479143681 3030064499 3895797213 4761529927 6121967049 9090193497 14284589781 27270580491 33330709489 42853769343 99992128467 299976385401