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130660687476 = 2232114134923059
BaseRepresentation
bin111100110101111111…
…0111101111001110100
3110111020222010122110100
41321223332331321310
54120043113444401
6140005155554100
712303615342624
oct1715376757164
9414228118410
10130660687476
115045a608440
12213a5bbb930
13c423a2b277
14647712c884
1535ead6cb86
hex1e6bfbde74

130660687476 has 144 divisors (see below), whose sum is σ = 370168344000. Its totient is φ = 38516083200.

The previous prime is 130660687471. The next prime is 130660687543. The reversal of 130660687476 is 674786066031.

130660687476 is a `hidden beast` number, since 1 + 30 + 6 + 60 + 6 + 87 + 476 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (130660687471) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5654835 + ... + 5677893.

It is an arithmetic number, because the mean of its divisors is an integer number (2570613500).

Almost surely, 2130660687476 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 130660687476, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185084172000).

130660687476 is an abundant number, since it is smaller than the sum of its proper divisors (239507656524).

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

130660687476 is a wasteful number, since it uses less digits than its factorization.

130660687476 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23470 (or 23465 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 54.

The spelling of 130660687476 in words is "one hundred thirty billion, six hundred sixty million, six hundred eighty-seven thousand, four hundred seventy-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 41 44 66 82 99 123 132 164 198 246 349 369 396 451 492 698 738 902 1047 1353 1396 1476 1804 2094 2706 3141 3839 4059 4188 5412 6282 7678 8118 11517 12564 14309 15356 16236 23034 23059 28618 34551 42927 46068 46118 57236 69102 69177 85854 92236 128781 138204 138354 157399 171708 207531 253649 257562 276708 314798 415062 472197 507298 515124 629596 760947 830124 944394 945419 1014596 1416591 1521894 1888788 1890838 2282841 2833182 2836257 3043788 3781676 4565682 5666364 5672514 8047591 8508771 9131364 10399609 11345028 16095182 17017542 20799218 24142773 31198827 32190364 34035084 41598436 48285546 62397654 72428319 88523501 93596481 96571092 124795308 144856638 177047002 187192962 265570503 289713276 329951231 354094004 374385924 531141006 659902462 796711509 989853693 1062282012 1319804924 1593423018 1979707386 2969561079 3186846036 3629463541 3959414772 5939122158 7258927082 10888390623 11878244316 14517854164 21776781246 32665171869 43553562492 65330343738 130660687476