Search a number
-
+
68277350045556 = 22345315725325389
BaseRepresentation
bin11111000011001000011110…
…01100100001011101110100
322221202020202220211001020000
433201210033030201131310
532422124003102424211
6401114103120311300
720244606245434611
oct1741441714413564
9287666686731200
1068277350045556
111a834297128623
1277a8736472530
132c136ac8b2c32
1412c08d9d09508
157d60b59ae656
hex3e190f321774

68277350045556 has 120 divisors (see below), whose sum is σ = 183016564675560. Its totient is φ = 22187471125248.

The previous prime is 68277350045507. The next prime is 68277350045581. The reversal of 68277350045556 is 65554005377286.

68277350045556 is a `hidden beast` number, since 6 + 8 + 2 + 7 + 7 + 35 + 0 + 0 + 45 + 556 = 666.

68277350045556 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 12728411936100 + 55548938109456 = 3567690^2 + 7453116^2 .

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 68277350045493 and 68277350045502.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 9966691 + ... + 15358698.

It is an arithmetic number, because the mean of its divisors is an integer number (1525138038963).

Almost surely, 268277350045556 is an apocalyptic number.

It is an amenable number.

68277350045556 is an abundant number, since it is smaller than the sum of its proper divisors (114739214630004).

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

68277350045556 is a wasteful number, since it uses less digits than its factorization.

68277350045556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25325615 (or 25325604 counting only the distinct ones).

The product of its (nonzero) digits is 211680000, while the sum is 63.

The spelling of 68277350045556 in words is "sixty-eight trillion, two hundred seventy-seven billion, three hundred fifty million, forty-five thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 53 54 81 106 108 157 159 162 212 314 318 324 471 477 628 636 942 954 1413 1431 1884 1908 2826 2862 4239 4293 5652 5724 8321 8478 8586 12717 16642 16956 17172 24963 25434 33284 49926 50868 74889 99852 149778 224667 299556 449334 674001 898668 1348002 2696004 25325389 50650778 75976167 101301556 151952334 227928501 303904668 455857002 683785503 911714004 1342245617 1367571006 2051356509 2684491234 2735142012 3976086073 4026736851 4102713018 5368982468 7952172146 8053473702 8205426036 11928258219 12080210553 15904344292 16106947404 23856516438 24160421106 35784774657 36240631659 47713032876 48320842212 71569549314 72481263318 107354323971 108721894977 143139098628 144962526636 210732561869 214708647942 217443789954 322062971913 421465123738 429417295884 434887579908 632197685607 644125943826 842930247476 1264395371214 1288251887652 1896593056821 2528790742428 3793186113642 5689779170463 7586372227284 11379558340926 17069337511389 22759116681852 34138675022778 68277350045556