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1982488449060 = 2232572224771933
BaseRepresentation
bin11100110110010101100…
…001010001000000100100
321000112011000202220002100
4130312111201101000210
5224440114020332220
64114424223412100
7263141624530500
oct34662541210044
97015130686070
101982488449060
116a4850056439
12280277454030
13114c425a3402
146bd4ac8d300
1536880959d90
hex1cd95851024

1982488449060 has 108 divisors (see below), whose sum is σ = 6995352129948. Its totient is φ = 453140214912.

The previous prime is 1982488449031. The next prime is 1982488449089. The reversal of 1982488449060 is 609448842891.

1982488449060 is a `hidden beast` number, since 1 + 9 + 8 + 2 + 4 + 8 + 84 + 490 + 60 = 666.

It is an interprime number because it is at equal distance from previous prime (1982488449031) and next prime (1982488449089).

It can be written as a sum of positive squares in 2 ways, for example, as 711822940416 + 1270665508644 = 843696^2 + 1127238^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 112377147 + ... + 112394786.

It is an arithmetic number, because the mean of its divisors is an integer number (64771778981).

Almost surely, 21982488449060 is an apocalyptic number.

1982488449060 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1982488449060 is an abundant number, since it is smaller than the sum of its proper divisors (5012863680888).

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

1982488449060 is a wasteful number, since it uses less digits than its factorization.

1982488449060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224771962 (or 224771950 counting only the distinct ones).

The product of its (nonzero) digits is 31850496, while the sum is 63.

The spelling of 1982488449060 in words is "one trillion, nine hundred eighty-two billion, four hundred eighty-eight million, four hundred forty-nine thousand, sixty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 49 60 63 70 84 90 98 105 126 140 147 180 196 210 245 252 294 315 420 441 490 588 630 735 882 980 1260 1470 1764 2205 2940 4410 8820 224771933 449543866 674315799 899087732 1123859665 1348631598 1573403531 2022947397 2247719330 2697263196 3146807062 3371578995 4045894794 4495438660 4720210593 6293614124 6743157990 7867017655 8091789588 9440421186 10114736985 11013824717 13486315980 14160631779 15734035310 18880842372 20229473970 22027649434 23601052965 28321263558 31468070620 33041474151 40458947940 44055298868 47202105930 55069123585 56642527116 66082948302 70803158895 94404211860 99124422453 110138247170 132165896604 141606317790 165207370755 198248844906 220276494340 283212635580 330414741510 396497689812 495622112265 660829483020 991244224530 1982488449060