Search a number
-
+
67230040652460 = 223257491910847159
BaseRepresentation
bin11110100100101001101101…
…01100001111101010101100
322211001010111010102102220200
433102110312230033222230
532302444110401334320
6354553015421313500
720106132036455040
oct1722246654175254
9284033433372820
1067230040652460
111a4701112a0454
127659770705890
132b689c512288a
141285d4663c020
157b8c1abd0290
hex3d2536b0faac

67230040652460 has 144 divisors (see below), whose sum is σ = 233111542809600. Its totient is φ = 15363741036672.

The previous prime is 67230040652431. The next prime is 67230040652461. The reversal of 67230040652460 is 6425604003276.

67230040652460 is a `hidden beast` number, since 6 + 7 + 2 + 300 + 40 + 65 + 246 + 0 = 666.

It is a super-2 number, since 2×672300406524602 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (67230040652461) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 774361 + ... + 11621519.

It is an arithmetic number, because the mean of its divisors is an integer number (1618830158400).

Almost surely, 267230040652460 is an apocalyptic number.

67230040652460 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

67230040652460 is an abundant number, since it is smaller than the sum of its proper divisors (165881502157140).

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

67230040652460 is a wasteful number, since it uses less digits than its factorization.

67230040652460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10852100 (or 10852095 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 45.

The spelling of 67230040652460 in words is "sixty-seven trillion, two hundred thirty billion, forty million, six hundred fifty-two thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 4919 9838 14757 19676 24595 29514 34433 44271 49190 59028 68866 73785 88542 98380 103299 137732 147570 172165 177084 206598 221355 295140 309897 344330 413196 442710 516495 619794 688660 885420 1032990 1239588 1549485 2065980 3098970 6197940 10847159 21694318 32541477 43388636 54235795 65082954 75930113 97624431 108471590 130165908 151860226 162707385 195248862 216943180 227790339 303720452 325414770 379650565 390497724 455580678 488122155 650829540 683371017 759301130 911161356 976244310 1138951695 1366742034 1518602260 1952488620 2277903390 2733484068 3416855085 4555806780 6833710170 13667420340 53357175121 106714350242 160071525363 213428700484 266785875605 320143050726 373500225847 480214576089 533571751210 640286101452 747000451694 800357626815 960429152178 1067143502420 1120500677541 1494000903388 1600715253630 1867501129235 1920858304356 2241001355082 2401072880445 3201430507260 3361502032623 3735002258470 4482002710164 4802145760890 5602503387705 6723004065246 7470004516940 9604291521780 11205006775410 13446008130492 16807510163115 22410013550820 33615020326230 67230040652460