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115415666460 = 223251613397519
BaseRepresentation
bin110101101111101001…
…1110100111100011100
3102000220111221100010100
41223133103310330130
53342332402311320
6125004330141100
711224051656333
oct1533723647434
9360814840110
10115415666460
1144a47153516
121a450581790
13ab644c3b83
14582c566d1a
1530077a9790
hex1adf4f4f1c

115415666460 has 72 divisors (see below), whose sum is σ = 350312114880. Its totient is φ = 30758352768.

The previous prime is 115415666411. The next prime is 115415666479. The reversal of 115415666460 is 64666514511.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 91581 + ... + 489099.

It is an arithmetic number, because the mean of its divisors is an integer number (4865446040).

Almost surely, 2115415666460 is an apocalyptic number.

115415666460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

115415666460 is an abundant number, since it is smaller than the sum of its proper divisors (234896448420).

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

115415666460 is a wasteful number, since it uses less digits than its factorization.

115415666460 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399147 (or 399142 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 45.

It can be divided in two parts, 115415 and 666460, that added together give a triangular number (781875 = T1250).

The spelling of 115415666460 in words is "one hundred fifteen billion, four hundred fifteen million, six hundred sixty-six thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 1613 3226 4839 6452 8065 9678 14517 16130 19356 24195 29034 32260 48390 58068 72585 96780 145170 290340 397519 795038 1192557 1590076 1987595 2385114 3577671 3975190 4770228 5962785 7155342 7950380 11925570 14310684 17888355 23851140 35776710 71553420 641198147 1282396294 1923594441 2564792588 3205990735 3847188882 5770783323 6411981470 7694377764 9617972205 11541566646 12823962940 19235944410 23083133292 28853916615 38471888820 57707833230 115415666460