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668601677352070 = 257113743545766101
BaseRepresentation
bin1001100000000101101111010…
…1011110011000110010000110
310020200022200210110202110111201
42120001123311132120302012
51200113332213400231240
610325555211552453114
7260554606564440340
oct23001336536306206
93220280713673451
10668601677352070
11184045419501260
1262ba3598b4a19a
132290bb38286587
14bb166cb196290
155246ce5e31d9a
hex26016f5798c86

668601677352070 has 128 divisors (see below), whose sum is σ = 1576836154156032. Its totient is φ = 198047602368000.

The previous prime is 668601677352067. The next prime is 668601677352083. The reversal of 668601677352070 is 70253776106866.

It is a junction number, because it is equal to n+sod(n) for n = 668601677351993 and 668601677352011.

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 63 ways as a sum of consecutive naturals, for example, 271657981 + ... + 274108120.

It is an arithmetic number, because the mean of its divisors is an integer number (12319032454344).

Almost surely, 2668601677352070 is an apocalyptic number.

668601677352070 is an abundant number, since it is smaller than the sum of its proper divisors (908234476803962).

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

668601677352070 is a wasteful number, since it uses less digits than its factorization.

668601677352070 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 545766206.

The product of its (nonzero) digits is 106686720, while the sum is 64.

The spelling of 668601677352070 in words is "six hundred sixty-eight trillion, six hundred one billion, six hundred seventy-seven million, three hundred fifty-two thousand, seventy".

Divisors: 1 2 5 7 10 11 14 22 35 37 43 55 70 74 77 86 110 154 185 215 259 301 370 385 407 430 473 518 602 770 814 946 1295 1505 1591 2035 2365 2590 2849 3010 3182 3311 4070 4730 5698 6622 7955 11137 14245 15910 16555 17501 22274 28490 33110 35002 55685 87505 111370 122507 175010 245014 612535 1225070 545766101 1091532202 2728830505 3820362707 5457661010 6003427111 7640725414 12006854222 19101813535 20193345737 23467942343 30017135555 38203627070 40386691474 42023989777 46935884686 60034271110 84047979554 100966728685 117339711715 141353420159 164275596401 201933457370 210119948885 222126803107 234679423430 258147365773 282706840318 328551192802 420239897770 444253606214 516294731546 706767100795 821377982005 868313866691 1110634015535 1290736828865 1413534201590 1554887621749 1642755964010 1736627733382 1807031560411 2221268031070 2581473657730 3109775243498 3614063120822 4341569333455 6078197066837 7774438108745 8683138666910 9035157802055 9551452533601 12156394133674 15548876217490 18070315604110 19102905067202 30390985334185 47757262668005 60781970668370 66860167735207 95514525336010 133720335470414 334300838676035 668601677352070