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4147980000 = 25354257269
BaseRepresentation
bin1111011100111101…
…0010011011100000
3101201002011012211220
43313033102123200
531443340330000
61523333335040
7204535151103
oct36717223340
911632135756
104147980000
11183947684a
12979197480
13511494048
142b4c7473a
151942561a0
hexf73d26e0

4147980000 has 240 divisors, whose sum is σ = 13709923920. Its totient is φ = 1097728000.

The previous prime is 4147979977. The next prime is 4147980007. The reversal of 4147980000 is 897414.

It is a tau number, because it is divible by the number of its divisors (240).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4147980007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 15419866 + ... + 15420134.

It is an arithmetic number, because the mean of its divisors is an integer number (57124683).

Almost surely, 24147980000 is an apocalyptic number.

4147980000 is a gapful number since it is divisible by the number (40) 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 4147980000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6854961960).

4147980000 is an abundant number, since it is smaller than the sum of its proper divisors (9561943920).

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

4147980000 is a wasteful number, since it uses less digits than its factorization.

4147980000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 559 (or 536 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 4147980000 is about 64404.8134847078. The cubic root of 4147980000 is about 1606.7397987483.

The spelling of 4147980000 in words is "four billion, one hundred forty-seven million, nine hundred eighty thousand".