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130883766468 = 223713119856929
BaseRepresentation
bin111100111100101000…
…1111100100011000100
3110111211111220020022020
41321321101330203010
54121022221011333
6140043245203140
712312264441660
oct1717121744304
9414744806266
10130883766468
1150564523a44
12214488604b0
13c45b006280
1464989db8a0
1536107353b3
hex1e7947c8c4

130883766468 has 48 divisors (see below), whose sum is σ = 375871332480. Its totient is φ = 34518795264.

The previous prime is 130883766449. The next prime is 130883766487. The reversal of 130883766468 is 864667388031.

It is an interprime number because it is at equal distance from previous prime (130883766449) and next prime (130883766487).

It is a super-2 number, since 2×1308837664682 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 59927373 + ... + 59929556.

It is an arithmetic number, because the mean of its divisors is an integer number (7830652760).

Almost surely, 2130883766468 is an apocalyptic number.

It is an amenable number.

130883766468 is an abundant number, since it is smaller than the sum of its proper divisors (244987566012).

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

130883766468 is a wasteful number, since it uses less digits than its factorization.

130883766468 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119856956 (or 119856954 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 60.

The spelling of 130883766468 in words is "one hundred thirty billion, eight hundred eighty-three million, seven hundred sixty-six thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 7 12 13 14 21 26 28 39 42 52 78 84 91 156 182 273 364 546 1092 119856929 239713858 359570787 479427716 719141574 838998503 1438283148 1558140077 1677997006 2516995509 3116280154 3355994012 4674420231 5033991018 6232560308 9348840462 10067982036 10906980539 18697680924 21813961078 32720941617 43627922156 65441883234 130883766468