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27985888395 = 355199283409
BaseRepresentation
bin11010000100000101…
…101100010010001011
32200020101101102200000
4122010011230102023
5424303341412040
620505002414043
72010342061233
oct320405542213
980211342600
1027985888395
1110961339193
125510501323
13284001989a
1414d6b58cc3
15adbdca130
hex68416c48b

27985888395 has 96 divisors (see below), whose sum is σ = 50860992000. Its totient is φ = 14762145024.

The previous prime is 27985888339. The next prime is 27985888417. The reversal of 27985888395 is 59388858972.

27985888395 is a `hidden beast` number, since 2 + 7 + 9 + 8 + 588 + 8 + 39 + 5 = 666.

It is not a de Polignac number, because 27985888395 - 212 = 27985884299 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 68424951 + ... + 68425359.

It is an arithmetic number, because the mean of its divisors is an integer number (529802000).

Almost surely, 227985888395 is an apocalyptic number.

27985888395 is a deficient number, since it is larger than the sum of its proper divisors (22875103605).

27985888395 is a wasteful number, since it uses less digits than its factorization.

27985888395 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 911 (or 899 counting only the distinct ones).

The product of its digits is 348364800, while the sum is 72.

The spelling of 27985888395 in words is "twenty-seven billion, nine hundred eighty-five million, eight hundred eighty-eight thousand, three hundred ninety-five".

Divisors: 1 3 5 9 15 27 45 81 135 199 243 283 405 409 597 849 995 1215 1227 1415 1791 2045 2547 2985 3681 4245 5373 6135 7641 8955 11043 12735 16119 18405 22923 26865 33129 38205 48357 55215 56317 68769 80595 81391 99387 114615 115747 165645 168951 241785 244173 281585 343845 347241 406955 496935 506853 578735 732519 844755 1041723 1220865 1520559 1736205 2197557 2534265 3125169 3662595 4561677 5208615 6592671 7602795 9375507 10987785 13685031 15625845 19778013 22808385 23033653 28126521 32963355 46877535 68425155 69100959 98890065 115168265 140632605 207302877 345504795 621908631 1036514385 1865725893 3109543155 5597177679 9328629465 27985888395