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6106561611656 = 23112171013674101
BaseRepresentation
bin101100011011100101101…
…1011111000011110001000
3210121210002210000022011212
41120313023123320132020
51300022214233033111
620553152104112252
71200120201160622
oct130671333703610
923553083008155
106106561611656
111a44861917500
128275ab165688
13353b003b2a8c
141717b8491c12
15a8ca429398b
hex58dcb6f8788

6106561611656 has 96 divisors (see below), whose sum is σ = 13457574287640. Its totient is φ = 2586566400000.

The previous prime is 6106561611649. The next prime is 6106561611679. The reversal of 6106561611656 is 6561161656016.

It can be written as a sum of positive squares in 4 ways, for example, as 6022930755556 + 83630856100 = 2454166^2 + 289190^2 .

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 23 ways as a sum of consecutive naturals, for example, 174995 + ... + 3499106.

Almost surely, 26106561611656 is an apocalyptic number.

It is an amenable number.

6106561611656 is an abundant number, since it is smaller than the sum of its proper divisors (7351012675984).

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

6106561611656 is a wasteful number, since it uses less digits than its factorization.

6106561611656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3674247 (or 3674232 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 50.

The spelling of 6106561611656 in words is "six trillion, one hundred six billion, five hundred sixty-one million, six hundred eleven thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 17 22 34 44 68 88 101 121 136 187 202 242 374 404 484 748 808 968 1111 1496 1717 2057 2222 3434 4114 4444 6868 8228 8888 12221 13736 16456 18887 24442 37774 48884 75548 97768 151096 207757 415514 831028 1662056 3674101 7348202 14696404 29392808 40415111 62459717 80830222 124919434 161660444 249838868 323320888 371084201 444566221 499677736 687056887 742168402 889132442 1374113774 1484336804 1778264884 2748227548 2968673608 3556529768 4081926211 5496455096 6308431417 7557625757 8163852422 12616862834 15115251514 16327704844 25233725668 30230503028 32655409688 44901188321 50467451336 60461006056 69392745587 89802376642 138785491174 179604753284 277570982348 359209506568 555141964696 763320201457 1526640402914 3053280805828 6106561611656