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3474793831296 = 27341689931991
BaseRepresentation
bin110010100100001001110…
…110100001101110000000
3110022012001100121221120210
4302210021312201232000
5423412334210100141
611220144231034120
7506021426143224
oct62441166415600
913265040557523
103474793831296
11111a719591597
1248153150b940
131c289680a448
14c0276626784
15605c252c916
hex32909da1b80

3474793831296 has 128 divisors (see below), whose sum is σ = 9456707232000. Its totient is φ = 1129815142400.

The previous prime is 3474793831279. The next prime is 3474793831319. The reversal of 3474793831296 is 6921383974743.

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

It is a congruent number.

It is an unprimeable number.

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, 108601861 + ... + 108633851.

It is an arithmetic number, because the mean of its divisors is an integer number (73880525250).

Almost surely, 23474793831296 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 3474793831296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4728353616000).

3474793831296 is an abundant number, since it is smaller than the sum of its proper divisors (5981913400704).

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

3474793831296 is a wasteful number, since it uses less digits than its factorization.

3474793831296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38948 (or 38936 counting only the distinct ones).

The product of its digits is 164602368, while the sum is 66.

The spelling of 3474793831296 in words is "three trillion, four hundred seventy-four billion, seven hundred ninety-three million, eight hundred thirty-one thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 41 48 64 82 96 123 128 164 192 246 328 384 492 656 984 1312 1968 2624 3936 5248 6899 7872 13798 15744 20697 27596 31991 41394 55192 63982 82788 95973 110384 127964 165576 191946 220768 255928 282859 331152 383892 441536 511856 565718 662304 767784 848577 883072 1023712 1131436 1311631 1324608 1535568 1697154 2047424 2262872 2623262 2649216 3071136 3394308 3934893 4094848 4525744 5246524 6142272 6788616 7869786 9051488 10493048 12284544 13577232 15739572 18102976 20986096 27154464 31479144 36205952 41972192 54308928 62958288 83944384 108617856 125916576 167888768 220705909 251833152 441411818 503666304 662117727 882823636 1324235454 1765647272 2648470908 3531294544 5296941816 7062589088 9048942269 10593883632 14125178176 18097884538 21187767264 27146826807 28250356352 36195769076 42375534528 54293653614 72391538152 84751069056 108587307228 144783076304 217174614456 289566152608 434349228912 579132305216 868698457824 1158264610432 1737396915648 3474793831296