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3481057034016 = 253169872134633
BaseRepresentation
bin110010101001111111001…
…010101111111100100000
3110022210012211221121111220
4302221333022233330200
5424013201100042031
611223101525135040
7506332560402402
oct62517712577440
913283184847456
103481057034016
111122342a43491
1248279ab5a480
131c335428c163
14c06ac38ab72
156083c306596
hex32a7f2aff20

3481057034016 has 48 divisors (see below), whose sum is σ = 9138316922784. Its totient is φ = 1160283492864.

The previous prime is 3481057034009. The next prime is 3481057034023. The reversal of 3481057034016 is 6104307501843.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (3481057034009) and next prime (3481057034023).

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 563436 + ... + 2698068.

It is an arithmetic number, because the mean of its divisors is an integer number (190381602558).

Almost surely, 23481057034016 is an apocalyptic number.

It is an amenable number.

3481057034016 is an abundant number, since it is smaller than the sum of its proper divisors (5657259888768).

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

3481057034016 is a wasteful number, since it uses less digits than its factorization.

3481057034016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2151633 (or 2151625 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 42.

The spelling of 3481057034016 in words is "three trillion, four hundred eighty-one billion, fifty-seven million, thirty-four thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 16987 33974 50961 67948 101922 135896 203844 271792 407688 543584 815376 1630752 2134633 4269266 6403899 8538532 12807798 17077064 25615596 34154128 51231192 68308256 102462384 204924768 36261010771 72522021542 108783032313 145044043084 217566064626 290088086168 435132129252 580176172336 870264258504 1160352344672 1740528517008 3481057034016