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2648704434048 = 27334317823431
BaseRepresentation
bin100110100010110011000…
…101100011111110000000
3100101012202202200111201000
4212202303011203332000
5321344021313342143
65344444212212000
7362235236133441
oct46426305437600
910335682614630
102648704434048
11931344668572
1236940590a000
13162a0571990a
14922ab3792c8
1548d73ac8bd3
hex268b3163f80

2648704434048 has 128 divisors (see below), whose sum is σ = 7999156281600. Its totient is φ = 862368837120.

The previous prime is 2648704434007. The next prime is 2648704434071. The reversal of 2648704434048 is 8404344078462.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 2648704433985 and 2648704434003.

It is a congruent number.

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, 8763108 + ... + 9060323.

It is an arithmetic number, because the mean of its divisors is an integer number (62493408450).

Almost surely, 22648704434048 is an apocalyptic number.

It is an amenable number.

2648704434048 is an abundant number, since it is smaller than the sum of its proper divisors (5350451847552).

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

2648704434048 is a wasteful number, since it uses less digits than its factorization.

2648704434048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17823497 (or 17823479 counting only the distinct ones).

The product of its (nonzero) digits is 16515072, while the sum is 54.

The spelling of 2648704434048 in words is "two trillion, six hundred forty-eight billion, seven hundred four million, four hundred thirty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3456 4128 4644 5504 6192 8256 9288 12384 16512 18576 24768 37152 49536 74304 148608 17823431 35646862 53470293 71293724 106940586 142587448 160410879 213881172 285174896 320821758 427762344 481232637 570349792 641643516 766407533 855524688 962465274 1140699584 1283287032 1532815066 1711049376 1924930548 2281399168 2299222599 2566574064 3065630132 3422098752 3849861096 4598445198 5133148128 6131260264 6844197504 6897667797 7699722192 9196890396 10266296256 12262520528 13795335594 15399444384 18393780792 20532592512 20693003391 24525041056 27590671188 30798888768 36787561584 41386006782 49050082112 55181342376 61597777536 73575123168 82772013564 98100164224 110362684752 147150246336 165544027128 220725369504 294300492672 331088054256 441450739008 662176108512 882901478016 1324352217024 2648704434048