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2974473216 = 2103211133761
BaseRepresentation
bin1011000101001010…
…1101110000000000
321200021222220011200
42301102231300000
522042431120331
61211053141200
7133465414401
oct26122556000
97607886150
102974473216
111297015830
126b018a800
13385317630
1420307d9a8
151262005e6
hexb14adc00

2974473216 has 528 divisors, whose sum is σ = 10532846688. Its totient is φ = 796262400.

The previous prime is 2974473211. The next prime is 2974473217. The reversal of 2974473216 is 6123744792.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2974473211) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 48761826 + ... + 48761886.

Almost surely, 22974473216 is an apocalyptic number.

2974473216 is a gapful number since it is divisible by the number (26) 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 2974473216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5266423344).

2974473216 is an abundant number, since it is smaller than the sum of its proper divisors (7558373472).

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

2974473216 is a wasteful number, since it uses less digits than its factorization.

2974473216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 127 counting only the distinct ones).

The product of its digits is 508032, while the sum is 45.

The square root of 2974473216 is about 54538.7313383801. The cubic root of 2974473216 is about 1438.1472468365.

The spelling of 2974473216 in words is "two billion, nine hundred seventy-four million, four hundred seventy-three thousand, two hundred sixteen".