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41768286714 = 23371117590899
BaseRepresentation
bin100110111001100101…
…010111100111111010
310222210220101210212000
4212321211113213322
51141020140133324
631104343201430
73006025402440
oct467145274772
9128726353760
1041768286714
1116794122020
128118146276
133c2851a86b
14204338ab90
151146d789c9
hex9b99579fa

41768286714 has 128 divisors (see below), whose sum is σ = 122529024000. Its totient is φ = 10210717440.

The previous prime is 41768286709. The next prime is 41768286727.

41768286714 is a `hidden beast` number, since 417 + 6 + 82 + 86 + 71 + 4 = 666.

41768286714 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 224764 + ... + 366135.

It is an arithmetic number, because the mean of its divisors is an integer number (957258000).

Almost surely, 241768286714 is an apocalyptic number.

41768286714 is an abundant number, since it is smaller than the sum of its proper divisors (80760737286).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

41768286714 is a wasteful number, since it uses less digits than its factorization.

41768286714 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590945 (or 590939 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 41768286714 in words is "forty-one billion, seven hundred sixty-eight million, two hundred eighty-six thousand, seven hundred fourteen".

Divisors: 1 2 3 6 7 9 11 14 17 18 21 22 27 33 34 42 51 54 63 66 77 99 102 119 126 153 154 187 189 198 231 238 297 306 357 374 378 459 462 561 594 693 714 918 1071 1122 1309 1386 1683 2079 2142 2618 3213 3366 3927 4158 5049 6426 7854 10098 11781 23562 35343 70686 590899 1181798 1772697 3545394 4136293 5318091 6499889 8272586 10045283 10636182 12408879 12999778 15954273 19499667 20090566 24817758 30135849 31908546 37226637 38999334 45499223 58499001 60271698 70316981 74453274 90407547 90998446 110498113 111679911 116998002 136497669 140633962 175497003 180815094 210950943 220996226 223359822 271222641 272995338 331494339 350994006 409493007 421901886 542445282 632852829 662988678 773486791 818986014 994483017 1228479021 1265705658 1546973582 1898558487 1988966034 2320460373 2456958042 2983449051 3797116974 4640920746 5966898102 6961381119 13922762238 20884143357 41768286714