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1668542646650 = 2521121764125309
BaseRepresentation
bin11000010001111100111…
…001000100100101111010
312220111210121100200212212
4120101330321010211322
5204314133404143100
63314303511335122
7231356020326065
oct30217471044572
95814717320785
101668542646650
11593696909400
1222b45b6814a2
13c145c460819
145aa879418dc
152d608cc1635
hex1847ce4497a

1668542646650 has 144 divisors (see below), whose sum is σ = 3617714310840. Its totient is φ = 570138624000.

The previous prime is 1668542646629. The next prime is 1668542646671. The reversal of 1668542646650 is 566462458661.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (1668542646629) and next prime (1668542646671).

It can be written as a sum of positive squares in 12 ways, for example, as 668896615321 + 999646031329 = 817861^2 + 999823^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 1668542646650.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 65914196 + ... + 65939504.

Almost surely, 21668542646650 is an apocalyptic number.

1668542646650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1668542646650 is an abundant number, since it is smaller than the sum of its proper divisors (1949171664190).

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

1668542646650 is a wasteful number, since it uses less digits than its factorization.

1668542646650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26001 (or 25985 counting only the distinct ones).

The product of its (nonzero) digits is 49766400, while the sum is 59.

The spelling of 1668542646650 in words is "one trillion, six hundred sixty-eight billion, five hundred forty-two million, six hundred forty-six thousand, six hundred fifty".

Divisors: 1 2 5 10 11 17 22 25 34 50 55 85 110 121 170 187 242 275 374 425 550 605 641 850 935 1210 1282 1870 2057 3025 3205 4114 4675 6050 6410 7051 9350 10285 10897 14102 16025 20570 21794 25309 32050 35255 50618 51425 54485 70510 77561 102850 108970 119867 126545 155122 176275 239734 253090 272425 278399 352550 387805 430253 544850 556798 599335 632725 775610 860506 1198670 1265450 1318537 1391995 1939025 2151265 2637074 2783990 2996675 3062389 3878050 4302530 4732783 5993350 6124778 6592685 6959975 9465566 10756325 13185370 13919950 15311945 16223069 21512650 23663915 30623890 32446138 32963425 47327830 52060613 65926850 76559725 81115345 104121226 118319575 153119450 162230690 178453759 236639150 260303065 275792173 356907518 405576725 520606130 551584346 811153450 892268795 1301515325 1378960865 1784537590 1962991349 2603030650 2757921730 3033713903 3925982698 4461343975 6067427806 6894804325 8922687950 9814956745 13789608650 15168569515 19629913490 30337139030 33370852933 49074783725 66741705866 75842847575 98149567450 151685695150 166854264665 333708529330 834271323325 1668542646650