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5769074272 = 2513191574649
BaseRepresentation
bin1010101111101110…
…10001011001100000
3112220001112100010111
411113313101121200
543303340334042
62352243141104
7262651215343
oct52767213140
915801470114
105769074272
1124a0545985
121150074794
1370c2a4320
143ca29a45a
1523b720517
hex157dd1660

5769074272 has 96 divisors (see below), whose sum is σ = 12960108000. Its totient is φ = 2505904128.

The previous prime is 5769074249. The next prime is 5769074279. The reversal of 5769074272 is 2724709675.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5769074279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1238604 + ... + 1243252.

It is an arithmetic number, because the mean of its divisors is an integer number (135001125).

Almost surely, 25769074272 is an apocalyptic number.

5769074272 is a gapful number since it is divisible by the number (52) 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 5769074272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6480054000).

5769074272 is an abundant number, since it is smaller than the sum of its proper divisors (7191033728).

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

5769074272 is a wasteful number, since it uses less digits than its factorization.

5769074272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4848 (or 4840 counting only the distinct ones).

The product of its (nonzero) digits is 1481760, while the sum is 49.

The square root of 5769074272 is about 75954.4223333968. The cubic root of 5769074272 is about 1793.5027354181.

The spelling of 5769074272 in words is "five billion, seven hundred sixty-nine million, seventy-four thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 76 104 152 157 208 247 304 314 416 494 608 628 988 1256 1976 2041 2512 2983 3952 4082 4649 5024 5966 7904 8164 9298 11932 16328 18596 23864 32656 37192 38779 47728 60437 65312 74384 77558 88331 95456 120874 148768 155116 176662 241748 310232 353324 483496 620464 706648 729893 966992 1148303 1240928 1413296 1459786 1933984 2296606 2826592 2919572 4593212 5839144 9186424 9488609 11678288 13867967 18372848 18977218 23356576 27735934 36745696 37954436 55471868 75908872 110943736 151817744 180283571 221887472 303635488 360567142 443774944 721134284 1442268568 2884537136 5769074272