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2573096960 = 2115735897
BaseRepresentation
bin1001100101011110…
…0101100000000000
320122022201212110102
42121113211200000
520232203100320
61103154221532
7120522651260
oct23127454000
96568655412
102573096960
11110049a915
125b98848a8
133201137a5
141a5a3b7a0
15100d69175
hex995e5800

2573096960 has 96 divisors (see below), whose sum is σ = 7056110880. Its totient is φ = 882180096.

The previous prime is 2573096951. The next prime is 2573096987. The reversal of 2573096960 is 696903752.

It is a super-2 number, since 2×25730969602 = 13241655931122483200, which contains 22 as substring.

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, 53732 + ... + 89628.

It is an arithmetic number, because the mean of its divisors is an integer number (73501155).

Almost surely, 22573096960 is an apocalyptic number.

2573096960 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2573096960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528055440).

2573096960 is an abundant number, since it is smaller than the sum of its proper divisors (4483013920).

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

2573096960 is an equidigital number, since it uses as much as digits as its factorization.

2573096960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35931 (or 35911 counting only the distinct ones).

The product of its (nonzero) digits is 612360, while the sum is 47.

The square root of 2573096960 is about 50725.7031493897. The cubic root of 2573096960 is about 1370.3096534857.

The spelling of 2573096960 in words is "two billion, five hundred seventy-three million, ninety-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 512 560 640 896 1024 1120 1280 1792 2048 2240 2560 3584 4480 5120 7168 8960 10240 14336 17920 35840 35897 71680 71794 143588 179485 251279 287176 358970 502558 574352 717940 1005116 1148704 1256395 1435880 2010232 2297408 2512790 2871760 4020464 4594816 5025580 5743520 8040928 9189632 10051160 11487040 16081856 18379264 20102320 22974080 32163712 36758528 40204640 45948160 64327424 73517056 80409280 91896320 128654848 160818560 183792640 257309696 321637120 367585280 514619392 643274240 1286548480 2573096960