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385435496347919 = 29149307887327571
BaseRepresentation
bin101011110100011010011000…
…1110101111111100100001111
31212112201021101110010102011122
41113220310301311333210033
5401004433344031113134
63443430342251311155
7144120536624343443
oct12750646165774417
91775637343112148
10385435496347919
111018a2304451046
123728bb93a4b4bb
131370b546966c94
146b2726b326823
152e860dd7d902e
hex15e8d31d7f90f

385435496347919 has 32 divisors (see below), whose sum is σ = 403165135296000. Its totient is φ = 368026435889280.

The previous prime is 385435496347901. The next prime is 385435496347991. The reversal of 385435496347919 is 919743694534583.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-385435496347919 is a prime.

It is a super-2 number, since 2×3854354963479192 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385435496347999) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1176483404 + ... + 1176810974.

It is an arithmetic number, because the mean of its divisors is an integer number (12598910478000).

Almost surely, 2385435496347919 is an apocalyptic number.

385435496347919 is a deficient number, since it is larger than the sum of its proper divisors (17729638948081).

385435496347919 is a wasteful number, since it uses less digits than its factorization.

385435496347919 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328943.

The product of its digits is 10581580800, while the sum is 80.

The spelling of 385435496347919 in words is "three hundred eighty-five trillion, four hundred thirty-five billion, four hundred ninety-six million, three hundred forty-seven thousand, nine hundred nineteen".

Divisors: 1 29 149 307 887 4321 8903 25723 45743 132163 272309 327571 1326547 3832727 7896961 9499559 40574041 48808079 100564297 290555477 1176647189 1415434291 2916364613 8426108833 14984080253 43292766073 89200531439 434538327337 1255490216117 2586815411731 13290879184411 385435496347919