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4147247104 = 211721113172
BaseRepresentation
bin1111011100110001…
…1111100000000000
3101201000202222111121
43313030133200000
531443143401404
61523305522024
7204526006300
oct36714374000
911630688447
104147247104
111839016150
12978aa3314
13511298590
142b4b23600
1519415de54
hexf731f800

4147247104 has 432 divisors, whose sum is σ = 12038612040. Its totient is φ = 1403781120.

The previous prime is 4147247089. The next prime is 4147247113. The reversal of 4147247104 is 4017427414.

It is a Harshad number since it is a multiple of its sum of digits (34).

It is a self number, because there is not a number n which added to its sum of digits gives 4147247104.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 243955704 + ... + 243955720.

Almost surely, 24147247104 is an apocalyptic number.

4147247104 is a gapful number since it is divisible by the number (44) 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 4147247104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6019306020).

4147247104 is an abundant number, since it is smaller than the sum of its proper divisors (7891364936).

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

4147247104 is a wasteful number, since it uses less digits than its factorization.

4147247104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 50 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 34.

The square root of 4147247104 is about 64399.1234722958. The cubic root of 4147247104 is about 1606.6451629230.

The spelling of 4147247104 in words is "four billion, one hundred forty-seven million, two hundred forty-seven thousand, one hundred four".