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5761191296 = 27720293169
BaseRepresentation
bin1010101110110010…
…01100110110000000
3112212111200211201102
411113121030312000
543244331110141
62351402153532
7262524214040
oct52731146600
915774624642
105761191296
112497051323
1211494b28a8
1370a774243
143c9207720
1523abb499b
hex15764cd80

5761191296 has 64 divisors (see below), whose sum is σ = 13127604000. Its totient is φ = 2467086336.

The previous prime is 5761191259. The next prime is 5761191313. The reversal of 5761191296 is 6921911675.

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

It is a self number, because there is not a number n which added to its sum of digits gives 5761191296.

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, 1816400 + ... + 1819568.

Almost surely, 25761191296 is an apocalyptic number.

5761191296 is a gapful number since it is divisible by the number (56) 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 5761191296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6563802000).

5761191296 is an abundant number, since it is smaller than the sum of its proper divisors (7366412704).

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

5761191296 is a wasteful number, since it uses less digits than its factorization.

5761191296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5219 (or 5207 counting only the distinct ones).

The product of its digits is 204120, while the sum is 47.

The square root of 5761191296 is about 75902.5117897952. The cubic root of 5761191296 is about 1792.6854706492.

The spelling of 5761191296 in words is "five billion, seven hundred sixty-one million, one hundred ninety-one thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 112 128 224 448 896 2029 3169 4058 6338 8116 12676 14203 16232 22183 25352 28406 32464 44366 50704 56812 64928 88732 101408 113624 129856 177464 202816 227248 259712 354928 405632 454496 709856 908992 1419712 1817984 2839424 6429901 12859802 25719604 45009307 51439208 90018614 102878416 180037228 205756832 360074456 411513664 720148912 823027328 1440297824 2880595648 5761191296