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2001465973376 = 272331831631621
BaseRepresentation
bin11101001000000000101…
…010110001101010000000
321002100010121100000101022
4131020000222301222000
5230243000242122001
64131243305525012
7264413123033642
oct35100052615200
97070117300338
102001465973376
117018a9400331
12283a92aa3768
131169781a193c
146cc2b456892
15370e1a5511b
hex1d200ab1a80

2001465973376 has 256 divisors, whose sum is σ = 4375980564480. Its totient is φ = 909008179200.

The previous prime is 2001465973327. The next prime is 2001465973393. The reversal of 2001465973376 is 6733795641002.

It is a super-4 number, since 4×20014659733764 (a number of 50 digits) contains 4444 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1234709846 + ... + 1234711466.

It is an arithmetic number, because the mean of its divisors is an integer number (17093674080).

Almost surely, 22001465973376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2001465973376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2187990282240).

2001465973376 is an abundant number, since it is smaller than the sum of its proper divisors (2374514591104).

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

2001465973376 is a wasteful number, since it uses less digits than its factorization.

2001465973376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1935 (or 1923 counting only the distinct ones).

The product of its (nonzero) digits is 5715360, while the sum is 53.

The spelling of 2001465973376 in words is "two trillion, one billion, four hundred sixty-five million, nine hundred seventy-three thousand, three hundred seventy-six".