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2742461466325 = 5271719101480373
BaseRepresentation
bin100111111010000111011…
…100010000011011010101
3100201011202212002020012221
4213322013130100123111
5324413030113410300
65455511442542341
7402064515561040
oct47720734203325
910634685066187
102742461466325
11968087002609
123836109679b1
1316b7c7a109c9
1496a43221c57
154b50ebd531a
hex27e877106d5

2742461466325 has 96 divisors (see below), whose sum is σ = 4374554653440. Its totient is φ = 1660165632000.

The previous prime is 2742461466323. The next prime is 2742461466413. The reversal of 2742461466325 is 5236641642472.

It is not a de Polignac number, because 2742461466325 - 21 = 2742461466323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2742461466323) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5468839 + ... + 5949211.

It is an arithmetic number, because the mean of its divisors is an integer number (45568277640).

Almost surely, 22742461466325 is an apocalyptic number.

2742461466325 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2742461466325 is a deficient number, since it is larger than the sum of its proper divisors (1632093187115).

2742461466325 is a wasteful number, since it uses less digits than its factorization.

2742461466325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 480527 (or 480522 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 52.

The spelling of 2742461466325 in words is "two trillion, seven hundred forty-two billion, four hundred sixty-one million, four hundred sixty-six thousand, three hundred twenty-five".

Divisors: 1 5 7 17 19 25 35 85 95 101 119 133 175 323 425 475 505 595 665 707 1615 1717 1919 2261 2525 2975 3325 3535 8075 8585 9595 11305 12019 13433 17675 32623 42925 47975 56525 60095 67165 163115 228361 300475 335825 480373 815575 1141805 2401865 3362611 5709025 8166341 9127087 12009325 16813055 40831705 45635435 48517673 57164387 63889609 84065275 155160479 204158525 228177175 242588365 285821935 319448045 339623711 775802395 824800441 921835787 1086123353 1212941825 1429109675 1597240225 1698118555 3879011975 4124002205 4609178935 5430616765 5773603087 6452850509 8490592775 15671208379 20620011025 23045894675 27153083825 28868015435 32264252545 78356041895 109698458653 144340077175 161321262725 391780209475 548492293265 2742461466325