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2315828682048 = 26377323603929
BaseRepresentation
bin100001101100110010001…
…001010101110101000000
322012101120002020020110110
4201230302021111311000
5300420304120311143
64531513233431320
7326212252002450
oct41546211256500
98171502206413
102315828682048
11813156a101a2
123149a640b540
1313a4c67c501b
148012dcc9d60
15403900e1533
hex21b32255d40

2315828682048 has 112 divisors (see below), whose sum is σ = 7098551492480. Its totient is φ = 652601401344.

The previous prime is 2315828682043. The next prime is 2315828682049. The reversal of 2315828682048 is 8402868285132.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2315828682043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11703853 + ... + 11900076.

It is an arithmetic number, because the mean of its divisors is an integer number (63379924040).

Almost surely, 22315828682048 is an apocalyptic number.

2315828682048 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2315828682048 is an abundant number, since it is smaller than the sum of its proper divisors (4782722810432).

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

2315828682048 is a wasteful number, since it uses less digits than its factorization.

2315828682048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23604024 (or 23604014 counting only the distinct ones).

The product of its (nonzero) digits is 11796480, while the sum is 57.

The spelling of 2315828682048 in words is "two trillion, three hundred fifteen billion, eight hundred twenty-eight million, six hundred eighty-two thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 73 84 96 112 146 168 192 219 224 292 336 438 448 511 584 672 876 1022 1168 1344 1533 1752 2044 2336 3066 3504 4088 4672 6132 7008 8176 12264 14016 16352 24528 32704 49056 98112 23603929 47207858 70811787 94415716 141623574 165227503 188831432 283247148 330455006 377662864 495682509 566494296 660910012 755325728 991365018 1132988592 1321820024 1510651456 1723086817 1982730036 2265977184 2643640048 3446173634 3965460072 4531954368 5169260451 5287280096 6892347268 7930920144 10338520902 10574560192 12061607719 13784694536 15861840288 20677041804 24123215438 27569389072 31723680576 36184823157 41354083608 48246430876 55138778144 72369646314 82708167216 96492861752 110277556288 144739292628 165416334432 192985723504 289478585256 330832668864 385971447008 578957170512 771942894016 1157914341024 2315828682048