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3872850371712 = 27347231245911
BaseRepresentation
bin111000010110110111110…
…111101110010010000000
3111201020111121020100020000
4320112313313232102000
51001423044143343322
612123055104120000
7546542562000300
oct70266767562200
914636447210200
103872850371712
111263515084a43
12526701906000
132212926097aa
14d563864b600
156ab1d4d13ac
hex385b7dee480

3872850371712 has 480 divisors, whose sum is σ = 13839809322240. Its totient is φ = 1070829849600.

The previous prime is 3872850371693. The next prime is 3872850371717. The reversal of 3872850371712 is 2171730582783.

3872850371712 is a `hidden beast` number, since 38 + 7 + 28 + 503 + 71 + 7 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (3872850371717) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 15626037 + ... + 15871947.

It is an arithmetic number, because the mean of its divisors is an integer number (28832936088).

Almost surely, 23872850371712 is an apocalyptic number.

3872850371712 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3872850371712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6919904661120).

3872850371712 is an abundant number, since it is smaller than the sum of its proper divisors (9966958950528).

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

3872850371712 is a wasteful number, since it uses less digits than its factorization.

3872850371712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 245982 (or 245954 counting only the distinct ones).

The product of its (nonzero) digits is 3951360, while the sum is 54.

The spelling of 3872850371712 in words is "three trillion, eight hundred seventy-two billion, eight hundred fifty million, three hundred seventy-one thousand, seven hundred twelve".