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58422004137 = 3371943675647
BaseRepresentation
bin110110011010001110…
…010000100110101001
312120210112022022101000
4312122032100212221
51424122013113022
642501054145213
74135515561450
oct663216204651
9176715268330
1058422004137
112285a775452
12b3a54b2209
135680859b23
142b83089b97
1517bde4d6ac
hexd9a3909a9

58422004137 has 128 divisors (see below), whose sum is σ = 108152422400. Its totient is φ = 30424984128.

The previous prime is 58422004133. The next prime is 58422004169. The reversal of 58422004137 is 73140022485.

It is a happy number.

58422004137 is a `hidden beast` number, since 584 + 2 + 2 + 0 + 0 + 41 + 37 = 666.

It is not a de Polignac number, because 58422004137 - 22 = 58422004133 is a prime.

It is a super-2 number, since 2×584220041372 (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58422004133) 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 127 ways as a sum of consecutive naturals, for example, 10342848 + ... + 10348494.

It is an arithmetic number, because the mean of its divisors is an integer number (844940800).

Almost surely, 258422004137 is an apocalyptic number.

58422004137 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

It is an amenable number.

58422004137 is a deficient number, since it is larger than the sum of its proper divisors (49730418263).

58422004137 is a wasteful number, since it uses less digits than its factorization.

58422004137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5792 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 36.

The spelling of 58422004137 in words is "fifty-eight billion, four hundred twenty-two million, four thousand, one hundred thirty-seven".

Divisors: 1 3 7 9 19 21 27 43 57 63 67 129 133 171 189 201 301 387 399 469 513 603 817 903 1161 1197 1273 1407 1809 2451 2709 2881 3591 3819 4221 5647 5719 7353 8127 8643 8911 11457 12663 16941 17157 20167 22059 25929 26733 34371 39529 50823 51471 54739 60501 77787 80199 107293 118587 152469 154413 164217 181503 240597 242821 321879 355761 378349 383173 492651 544509 728463 751051 965637 1067283 1135047 1149519 1477953 1699747 2185389 2253153 2648443 2896911 3405141 3448557 4613599 5099241 6556167 6759459 7188631 7945329 10215423 10345671 13840797 15297723 16269007 20278377 21565893 23835987 32295193 41522391 45893169 48807021 50320417 64697679 71507961 96885579 113883049 124567173 146421063 150961251 194093037 290656737 309111133 341649147 439263189 452883753 871970211 927333399 1024947441 1358651259 2163777931 2782000197 3074842323 6491333793 8346000591 19474001379 58422004137