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6046222422420 = 22325491467914621
BaseRepresentation
bin101011111111011111011…
…1100001001000110010100
3210102000100122011220021100
41113332332330021012110
51243030130420004140
620505332441550100
71162553012423205
oct127767674110624
923360318156240
106046222422420
111a21208a29564
1281796b7a5330
1334b2055b62cb
1416c8d29475ac
15a7421d90530
hex57fbef09194

6046222422420 has 144 divisors (see below), whose sum is σ = 18382745646720. Its totient is φ = 1608588307200.

The previous prime is 6046222422413. The next prime is 6046222422523. The reversal of 6046222422420 is 242242226406.

6046222422420 is a `hidden beast` number, since 6 + 0 + 4 + 6 + 2 + 224 + 2 + 2 + 420 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 413522710 + ... + 413537330.

It is an arithmetic number, because the mean of its divisors is an integer number (127657955880).

Almost surely, 26046222422420 is an apocalyptic number.

6046222422420 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 6046222422420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9191372823360).

6046222422420 is an abundant number, since it is smaller than the sum of its proper divisors (12336523224300).

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

6046222422420 is a wasteful number, since it uses less digits than its factorization.

6046222422420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19806 (or 19801 counting only the distinct ones).

The product of its (nonzero) digits is 147456, while the sum is 36.

Adding to 6046222422420 its reverse (242242226406), we get a palindrome (6288464648826).

The spelling of 6046222422420 in words is "six trillion, forty-six billion, two hundred twenty-two million, four hundred twenty-two thousand, four hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 491 982 1473 1964 2455 2946 4419 4679 4910 5892 7365 8838 9358 9820 14037 14621 14730 17676 18716 22095 23395 28074 29242 29460 42111 43863 44190 46790 56148 58484 70185 73105 84222 87726 88380 93580 131589 140370 146210 168444 175452 210555 219315 263178 280740 292420 421110 438630 526356 657945 842220 877260 1315890 2297389 2631780 4594778 6892167 7178911 9189556 11486945 13784334 14357822 20676501 21536733 22973890 27568668 28715644 34460835 35894555 41353002 43073466 45947780 64610199 68411659 68921670 71789110 82706004 86146932 103382505 107683665 129220398 136823318 137843340 143578220 205234977 206765010 215367330 258440796 273646636 323050995 342058295 410469954 413530020 430734660 615704931 646101990 684116590 820939908 1026174885 1231409862 1292203980 1368233180 2052349770 2462819724 3078524655 4104699540 6157049310 12314098620 33590124569 67180249138 100770373707 134360498276 167950622845 201540747414 302311121121 335901245690 403081494828 503851868535 604622242242 671802491380 1007703737070 1209244484484 1511555605605 2015407474140 3023111211210 6046222422420