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385212769605 = 3551941406993
BaseRepresentation
bin1011001101100000111…
…10000110010101000101
31100211022010210020100000
411212300132012111011
522302403432111410
6452544142311513
736554634342066
oct5466036062505
91324263706300
10385212769605
11139405625334
12627a6b88599
132a42cbca981
141490432656d
15a048611dc0
hex59b0786545

385212769605 has 96 divisors (see below), whose sum is σ = 746654912640. Its totient is φ = 189886187520.

The previous prime is 385212769603. The next prime is 385212769607. The reversal of 385212769605 is 506967212583.

385212769605 is a `hidden beast` number, since 3 + 8 + 5 + 2 + 1 + 27 + 6 + 9 + 605 = 666.

It is an interprime number because it is at equal distance from previous prime (385212769603) and next prime (385212769607).

It is not a de Polignac number, because 385212769605 - 21 = 385212769603 is a prime.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (385212769603) 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, 742989 + ... + 1149981.

It is an arithmetic number, because the mean of its divisors is an integer number (7777655340).

Almost surely, 2385212769605 is an apocalyptic number.

It is an amenable number.

385212769605 is a deficient number, since it is larger than the sum of its proper divisors (361442143035).

385212769605 is a wasteful number, since it uses less digits than its factorization.

385212769605 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 407073 (or 407061 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 385212769605 in words is "three hundred eighty-five billion, two hundred twelve million, seven hundred sixty-nine thousand, six hundred five".

Divisors: 1 3 5 9 15 19 27 41 45 57 81 95 123 135 171 205 243 285 369 405 513 615 779 855 1107 1215 1539 1845 2337 2565 3321 3895 4617 5535 7011 7695 9963 11685 16605 21033 23085 35055 49815 63099 105165 189297 315495 406993 946485 1220979 2034965 3662937 6104895 7732867 10988811 16686713 18314685 23198601 32966433 38664335 50060139 54944055 69595803 83433565 98899299 115993005 150180417 164832165 208787409 250300695 317047547 347979015 450541251 494496495 626362227 750902085 951142641 1043937045 1351623753 1585237735 1879086681 2252706255 2853427923 3131811135 4054871259 4755713205 6758118765 8560283769 9395433405 14267139615 20274356295 25680851307 42801418845 77042553921 128404256535 385212769605