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3871683472672 = 253730197108289
BaseRepresentation
bin111000010101110010010…
…100010110110100100000
3111201010111021111201200001
4320111302110112310200
51001413201432111142
612122343221305344
7546501632344261
oct70256224266440
914633437451601
103871683472672
111262a76427474
12526436b65254
132211379348a2
14d5567696968
156aaa0d335b7
hex38572516d20

3871683472672 has 48 divisors (see below), whose sum is σ = 7828718559480. Its totient is φ = 1883441922048.

The previous prime is 3871683472619. The next prime is 3871683472673. The reversal of 3871683472672 is 2762743861783.

It can be written as a sum of positive squares in 4 ways, for example, as 2702854369296 + 1168829103376 = 1644036^2 + 1081124^2 .

It is not an unprimeable number, because it can be changed into a prime (3871683472673) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 35699104 + ... + 35807392.

Almost surely, 23871683472672 is an apocalyptic number.

3871683472672 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

3871683472672 is an abundant number, since it is smaller than the sum of its proper divisors (3957035086808).

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

3871683472672 is a wasteful number, since it uses less digits than its factorization.

3871683472672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138533 (or 138525 counting only the distinct ones).

The product of its digits is 113799168, while the sum is 64.

The spelling of 3871683472672 in words is "three trillion, eight hundred seventy-one billion, six hundred eighty-three million, four hundred seventy-two thousand, six hundred seventy-two".

Divisors: 1 2 4 8 16 32 37 74 148 296 592 1184 30197 60394 108289 120788 216578 241576 433156 483152 866312 966304 1117289 1732624 2234578 3465248 4006693 4469156 8013386 8938312 16026772 17876624 32053544 35753248 64107088 128214176 3270002933 6540005866 13080011732 26160023464 52320046928 104640093856 120990108521 241980217042 483960434084 967920868168 1935841736336 3871683472672