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2663738496 = 27326533541
BaseRepresentation
bin1001111011000101…
…0110110010000000
320212122021221021100
42132301112302000
520423404112441
61120153054400
7123003255306
oct23661266200
96778257240
102663738496
11114767a181
126240b7400
13335b2b733
141b3ab4276
15108cc0cb6
hex9ec56c80

2663738496 has 96 divisors (see below), whose sum is σ = 7679091420. Its totient is φ = 886302720.

The previous prime is 2663738477. The next prime is 2663738503. The reversal of 2663738496 is 6948373662.

2663738496 is a `hidden beast` number, since 26 + 63 + 73 + 8 + 496 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2576577600 + 87160896 = 50760^2 + 9336^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 750486 + ... + 754026.

Almost surely, 22663738496 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 2663738496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3839545710).

2663738496 is an abundant number, since it is smaller than the sum of its proper divisors (5015352924).

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

2663738496 is a wasteful number, since it uses less digits than its factorization.

2663738496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4214 (or 4199 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 54.

The square root of 2663738496 is about 51611.4182715414. The cubic root of 2663738496 is about 1386.2147927702.

The spelling of 2663738496 in words is "two billion, six hundred sixty-three million, seven hundred thirty-eight thousand, four hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 653 1152 1306 1959 2612 3541 3918 5224 5877 7082 7836 10448 10623 11754 14164 15672 20896 21246 23508 28328 31344 31869 41792 42492 47016 56656 62688 63738 83584 84984 94032 113312 125376 127476 169968 188064 226624 250752 254952 339936 376128 453248 509904 679872 752256 1019808 1359744 2039616 2312273 4079232 4624546 6936819 9249092 13873638 18498184 20810457 27747276 36996368 41620914 55494552 73992736 83241828 110989104 147985472 166483656 221978208 295970944 332967312 443956416 665934624 887912832 1331869248 2663738496