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5921958042 = 23271121329879
BaseRepresentation
bin1011000001111100…
…11110100010011010
3120021201012122020100
411200332132202122
544112010124132
62415344040230
7266515545540
oct54076364232
916251178210
105921958042
112569877800
121193303076
13734b729b0
144026d5d90
15249d6e37c
hex160f9e89a

5921958042 has 144 divisors (see below), whose sum is σ = 17358606720. Its totient is φ = 1419802560.

The previous prime is 5921958037. The next prime is 5921958047. The reversal of 5921958042 is 2408591295.

It is a happy number.

5921958042 is a `hidden beast` number, since 5 + 9 + 21 + 9 + 580 + 42 = 666.

It is an interprime number because it is at equal distance from previous prime (5921958037) and next prime (5921958047).

It is not an unprimeable number, because it can be changed into a prime (5921958047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 183259 + ... + 213137.

It is an arithmetic number, because the mean of its divisors is an integer number (120545880).

Almost surely, 25921958042 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5921958042, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8679303360).

5921958042 is an abundant number, since it is smaller than the sum of its proper divisors (11436648678).

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

5921958042 is a wasteful number, since it uses less digits than its factorization.

5921958042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29929 (or 29915 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The square root of 5921958042 is about 76954.2594142780. The cubic root of 5921958042 is about 1809.2077606906.

The spelling of 5921958042 in words is "five billion, nine hundred twenty-one million, nine hundred fifty-eight thousand, forty-two".

Divisors: 1 2 3 6 7 9 11 13 14 18 21 22 26 33 39 42 63 66 77 78 91 99 117 121 126 143 154 182 198 231 234 242 273 286 363 429 462 546 693 726 819 847 858 1001 1089 1287 1386 1573 1638 1694 2002 2178 2541 2574 3003 3146 4719 5082 6006 7623 9009 9438 11011 14157 15246 18018 22022 28314 29879 33033 59758 66066 89637 99099 179274 198198 209153 268911 328669 388427 418306 537822 627459 657338 776854 986007 1165281 1254918 1882377 1972014 2300683 2330562 2718989 2958021 3495843 3615359 3764754 4272697 4601366 5437978 5916042 6902049 6991686 7230718 8156967 8545394 10846077 12818091 13804098 16313934 20706147 21692154 24470901 25307513 25636182 29908879 32538231 38454273 41412294 46999667 48941802 50615026 59817758 65076462 75922539 76908546 89726637 93999334 140999001 151845078 179453274 227767617 269179911 281998002 328997669 422997003 455535234 538359822 657995338 845994006 986993007 1973986014 2960979021 5921958042