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385134600071 = 13219414767929
BaseRepresentation
bin1011001101010111100…
…11111001111110000111
31100211002200200210220002
411212223303321332013
522302223424200241
6452532311031515
736552665041424
oct5465363717607
91324080623802
10385134600071
11139375494411
126278496b59b
132a41995b800
14148d7bb8d4b
15a04182089b
hex59abcf9f87

385134600071 has 96 divisors (see below), whose sum is σ = 466620134400. Its totient is φ = 316451266560.

The previous prime is 385134600029. The next prime is 385134600089. The reversal of 385134600071 is 170006431583.

It is a de Polignac number, because none of the positive numbers 2k-385134600071 is a prime.

It is a super-2 number, since 2×3851346000712 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 385134599998 and 385134600034.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385134600371) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 414568535 + ... + 414569463.

It is an arithmetic number, because the mean of its divisors is an integer number (4860626400).

Almost surely, 2385134600071 is an apocalyptic number.

385134600071 is a deficient number, since it is larger than the sum of its proper divisors (81485534329).

385134600071 is a wasteful number, since it uses less digits than its factorization.

385134600071 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1116 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 38.

The spelling of 385134600071 in words is "three hundred eighty-five billion, one hundred thirty-four million, six hundred thousand, seventy-one".

Divisors: 1 13 19 41 47 67 169 247 533 611 779 871 893 929 1273 1927 2747 3149 3211 6929 7943 10127 11323 11609 12077 16549 17651 25051 35711 36613 38089 40937 43663 52193 59831 62243 129109 131651 150917 157001 215137 229463 325663 464243 475969 495157 532181 567619 678509 723691 777803 809159 829597 1182617 1678417 1790183 2453071 2551963 2925421 2983019 6187597 6437041 7379047 8820617 9407983 10111439 10519067 10784761 15374021 21819421 23272379 31889923 33175519 34013477 38030473 48487297 55582999 119942261 122303779 140201893 199862273 302540927 414568999 431281747 442175201 494396149 630334861 722578987 1559249393 2278902959 5748277613 8194353193 9393526831 20270242109 29625738467 385134600071