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3480707045000 = 23543257213737
BaseRepresentation
bin110010101001101010010…
…011101001011010001000
3110022202022110101022211202
4302221222103221122020
5424011442000420000
611223003103443332
7506321110502303
oct62515223513210
913282273338752
103480707045000
111122183426569
124827018b6548
131c32c990ac73
14c0677ac3b3a
156081b720dd5
hex32a6a4e9688

3480707045000 has 80 divisors (see below), whose sum is σ = 8157838702860. Its totient is φ = 1391848832000.

The previous prime is 3480707044987. The next prime is 3480707045047. The reversal of 3480707045000 is 5407070843.

It can be written as a sum of positive squares in 10 ways, for example, as 330742310404 + 3149964734596 = 575102^2 + 1774814^2 .

It is a super-2 number, since 2×34807070450002 (a number of 26 digits) contains 22 as substring.

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 19 ways as a sum of consecutive naturals, for example, 16178132 + ... + 16391868.

Almost surely, 23480707045000 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 3480707045000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4078919351430).

3480707045000 is an abundant number, since it is smaller than the sum of its proper divisors (4677131657860).

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

3480707045000 is a wasteful number, since it uses less digits than its factorization.

3480707045000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 217020 (or 217001 counting only the distinct ones).

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 3480707045000 in words is "three trillion, four hundred eighty billion, seven hundred seven million, forty-five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 3257 5000 6514 13028 16285 26056 32570 65140 81425 130280 162850 213737 325700 407125 427474 651400 814250 854948 1068685 1628500 1709896 2035625 2137370 3257000 4071250 4274740 5343425 8142500 8549480 10686850 16285000 21373700 26717125 42747400 53434250 106868500 133585625 213737000 267171250 534342500 696141409 1068685000 1392282818 2784565636 3480707045 5569131272 6961414090 13922828180 17403535225 27845656360 34807070450 69614140900 87017676125 139228281800 174035352250 348070704500 435088380625 696141409000 870176761250 1740353522500 3480707045000