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2566042496 = 27291634241
BaseRepresentation
bin1001100011110010…
…1011001110000000
320121211110110112222
42120330223032000
520223401324441
61102343110212
7120406000313
oct23074531600
96554413488
102566042496
1110a7511786
125b7442368
1331b813854
141a4b2297a
15100423d4b
hex98f2b380

2566042496 has 64 divisors (see below), whose sum is σ = 5322013200. Its totient is φ = 1230888960.

The previous prime is 2566042489. The next prime is 2566042519. The reversal of 2566042496 is 6942406652.

It is a tau number, because it is divible by the number of its divisors (64).

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, 602936 + ... + 607176.

Almost surely, 22566042496 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 2566042496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2661006600).

2566042496 is an abundant number, since it is smaller than the sum of its proper divisors (2755970704).

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

2566042496 is a wasteful number, since it uses less digits than its factorization.

2566042496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4447 (or 4435 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 44.

The square root of 2566042496 is about 50656.1200251263. The cubic root of 2566042496 is about 1369.0562160918.

The spelling of 2566042496 in words is "two billion, five hundred sixty-six million, forty-two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 163 232 326 464 652 928 1304 1856 2608 3712 4241 4727 5216 8482 9454 10432 16964 18908 20864 33928 37816 67856 75632 122989 135712 151264 245978 271424 302528 491956 542848 605056 691283 983912 1382566 1967824 2765132 3935648 5530264 7871296 11060528 15742592 20047207 22121056 40094414 44242112 80188828 88484224 160377656 320755312 641510624 1283021248 2566042496