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845422341714 = 2332353103312433
BaseRepresentation
bin11000100110101110001…
…10010010111001010010
32222211011221021202222000
430103113012102321102
5102322411104413324
61444214234454430
7115036232223156
oct14232706227122
92884157252860
10845422341714
112a65a5965385
12117a22294416
1361952522352
142ccc0b33066
1516ed0d589c9
hexc4d7192e52

845422341714 has 128 divisors (see below), whose sum is σ = 1999482693120. Its totient is φ = 264191735808.

The previous prime is 845422341703. The next prime is 845422341781. The reversal of 845422341714 is 417143224548.

845422341714 is a `hidden beast` number, since 8 + 4 + 5 + 4 + 223 + 417 + 1 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 845422341714.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 67992042 + ... + 68004474.

It is an arithmetic number, because the mean of its divisors is an integer number (15620958540).

Almost surely, 2845422341714 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 845422341714, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (999741346560).

845422341714 is an abundant number, since it is smaller than the sum of its proper divisors (1154060351406).

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

845422341714 is a wasteful number, since it uses less digits than its factorization.

845422341714 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13553 (or 13547 counting only the distinct ones).

The product of its digits is 860160, while the sum is 45.

The spelling of 845422341714 in words is "eight hundred forty-five billion, four hundred twenty-two million, three hundred forty-one thousand, seven hundred fourteen".

Divisors: 1 2 3 6 9 18 23 27 46 53 54 69 106 138 159 207 318 414 477 621 954 1033 1219 1242 1431 2066 2438 2862 3099 3657 6198 7314 9297 10971 12433 18594 21942 23759 24866 27891 32913 37299 47518 54749 55782 65826 71277 74598 109498 111897 142554 164247 213831 223794 285959 328494 335691 427662 492741 571918 641493 658949 671382 857877 985482 1259227 1282986 1317898 1478223 1715754 1976847 2518454 2573631 2956446 3777681 3953694 5147262 5930541 7555362 7720893 11333043 11861082 12843289 15155827 15441786 17791623 22666086 25686578 30311654 33999129 35583246 38529867 45467481 67998258 77059734 90934962 115589601 136402443 231179202 272804886 295395647 346768803 409207329 590791294 680694317 693537606 818414658 886186941 1361388634 1772373882 2042082951 2658560823 4084165902 5317121646 6126248853 7975682469 12252497706 15655969291 15951364938 18378746559 31311938582 36757493118 46967907873 93935815746 140903723619 281807447238 422711170857 845422341714