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2969648640 = 29325718413
BaseRepresentation
bin1011000100000001…
…0011111000000000
321122221220210002200
42301000103320000
522040212224030
61210401513200
7133406411520
oct26100237000
97587823080
102969648640
11129431aa82
126aa642800
1338431865a
14202585680
15125a9ad60
hexb1013e00

2969648640 has 240 divisors, whose sum is σ = 11754613728. Its totient is φ = 678739968.

The previous prime is 2969648599. The next prime is 2969648641. The reversal of 2969648640 is 468469692.

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 (2969648641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 152074 + ... + 170486.

Almost surely, 22969648640 is an apocalyptic number.

2969648640 is a gapful number since it is divisible by the number (20) 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 2969648640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5877306864).

2969648640 is an abundant number, since it is smaller than the sum of its proper divisors (8784965088).

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

2969648640 is a wasteful number, since it uses less digits than its factorization.

2969648640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18449 (or 18430 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The square root of 2969648640 is about 54494.4826565039. The cubic root of 2969648640 is about 1437.3692709345.

The spelling of 2969648640 in words is "two billion, nine hundred sixty-nine million, six hundred forty-eight thousand, six hundred forty".