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2668940384 = 251133122907
BaseRepresentation
bin1001111100010100…
…1100110001100000
320220000002012220212
42133011030301200
520431222043014
61120500353252
7123065422205
oct23705146140
96800065825
102668940384
11114a602460
126259a5828
13336c30386
141b4669cac
1510949c23e
hex9f14cc60

2668940384 has 48 divisors (see below), whose sum is σ = 5749724736. Its totient is φ = 1209436800.

The previous prime is 2668940363. The next prime is 2668940423. The reversal of 2668940384 is 4830498662.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 105059 + ... + 127965.

It is an arithmetic number, because the mean of its divisors is an integer number (119785932).

Almost surely, 22668940384 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 2668940384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2874862368).

2668940384 is an abundant number, since it is smaller than the sum of its proper divisors (3080784352).

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

2668940384 is a wasteful number, since it uses less digits than its factorization.

2668940384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23259 (or 23251 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 50.

The square root of 2668940384 is about 51661.7884320704. The cubic root of 2668940384 is about 1387.1165636246.

The spelling of 2668940384 in words is "two billion, six hundred sixty-eight million, nine hundred forty thousand, three hundred eighty-four".

Divisors: 1 2 4 8 11 16 22 32 44 88 176 331 352 662 1324 2648 3641 5296 7282 10592 14564 22907 29128 45814 58256 91628 116512 183256 251977 366512 503954 733024 1007908 2015816 4031632 7582217 8063264 15164434 30328868 60657736 83404387 121315472 166808774 242630944 333617548 667235096 1334470192 2668940384