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3483763346856 = 23313193671160087
BaseRepresentation
bin110010101100100000011…
…110100000110110101000
3110100001012110100112210210
4302230200132200312220
5424034221404044411
611224230242541120
7506456621600322
oct62544036406650
913301173315723
103483763346856
111123501651371
124832153677a0
131c3695b760c0
14c0887984612
1560949bd6ca6
hex32b207a0da8

3483763346856 has 128 divisors (see below), whose sum is σ = 9875764684800. Its totient is φ = 1015226991360.

The previous prime is 3483763346813. The next prime is 3483763346857. The reversal of 3483763346856 is 6586433673843.

It is not an unprimeable number, because it can be changed into a prime (3483763346857) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21681645 + ... + 21841731.

It is an arithmetic number, because the mean of its divisors is an integer number (77154411600).

Almost surely, 23483763346856 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 3483763346856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4937882342400).

3483763346856 is an abundant number, since it is smaller than the sum of its proper divisors (6392001337944).

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

3483763346856 is a wasteful number, since it uses less digits than its factorization.

3483763346856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163799 (or 163795 counting only the distinct ones).

The product of its digits is 627056640, while the sum is 66.

The spelling of 3483763346856 in words is "three trillion, four hundred eighty-three billion, seven hundred sixty-three million, three hundred forty-six thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 13 19 24 26 38 39 52 57 76 78 104 114 152 156 228 247 312 456 494 741 988 1482 1976 2964 3671 5928 7342 11013 14684 22026 29368 44052 47723 69749 88104 95446 139498 143169 160087 190892 209247 278996 286338 320174 381784 418494 480261 557992 572676 640348 836988 906737 960522 1145352 1280696 1673976 1813474 1921044 2081131 2720211 3041653 3626948 3842088 4162262 5440422 6083306 6243393 7253896 8324524 9124959 10880844 12166612 12486786 16649048 18249918 21761688 24333224 24973572 36499836 39541489 49947144 72999672 79082978 118624467 158165956 237248934 316331912 474497868 587679377 948995736 1175358754 1763038131 2350717508 3526076262 4701435016 7052152524 7639831901 11165908163 14104305048 15279663802 22331816326 22919495703 30559327604 33497724489 44663632652 45838991406 61118655208 66995448978 89327265304 91677982812 133990897956 145156806119 183355965624 267981795912 290313612238 435470418357 580627224476 870940836714 1161254448952 1741881673428 3483763346856