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2643321696 = 253299411009
BaseRepresentation
bin1001110110001101…
…1110001101100000
320211012212122200120
42131203132031200
520403142243241
61114143320240
7122334602151
oct23543361540
96735778616
102643321696
1111370a4794
126192b0080
133318306a2
141b10bb928
151070db666
hex9d8de360

2643321696 has 96 divisors (see below), whose sum is σ = 7192735200. Its totient is φ = 848977920.

The previous prime is 2643321679. The next prime is 2643321697. The reversal of 2643321696 is 6961233462.

2643321696 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2643321697) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619240 + ... + 2620248.

It is an arithmetic number, because the mean of its divisors is an integer number (74924325).

Almost surely, 22643321696 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 2643321696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3596367600).

2643321696 is an abundant number, since it is smaller than the sum of its proper divisors (4549413504).

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

2643321696 is a wasteful number, since it uses less digits than its factorization.

2643321696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992 (or 1984 counting only the distinct ones).

The product of its digits is 279936, while the sum is 42.

The square root of 2643321696 is about 51413.2443636851. The cubic root of 2643321696 is about 1382.6640577382.

The spelling of 2643321696 in words is "two billion, six hundred forty-three million, three hundred twenty-one thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 928 941 1009 1392 1882 2018 2784 2823 3027 3764 4036 5646 6054 7528 8072 11292 12108 15056 16144 22584 24216 27289 29261 30112 32288 45168 48432 54578 58522 81867 87783 90336 96864 109156 117044 163734 175566 218312 234088 327468 351132 436624 468176 654936 702264 873248 936352 949469 1309872 1404528 1898938 2619744 2809056 2848407 3797876 5696814 7595752 11393628 15191504 22787256 27534601 30383008 45574512 55069202 82603803 91149024 110138404 165207606 220276808 330415212 440553616 660830424 881107232 1321660848 2643321696