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5772743680 = 210511102499
BaseRepresentation
bin1010110000001010…
…10001010000000000
3112220022102202121111
411120011101100000
543310310244210
62352453533104
7263024340334
oct53005212000
915808382544
105772743680
1124a2621850
121151344194
1370cc8a582
143ca9737c4
1523bbe788a
hex158151400

5772743680 has 88 divisors (see below), whose sum is σ = 15106860000. Its totient is φ = 2099159040.

The previous prime is 5772743657. The next prime is 5772743681. The reversal of 5772743680 is 863472775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (88).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772743681) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5071 + ... + 107569.

Almost surely, 25772743680 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 5772743680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7553430000).

5772743680 is an abundant number, since it is smaller than the sum of its proper divisors (9334116320).

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

5772743680 is a wasteful number, since it uses less digits than its factorization.

5772743680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102535 (or 102517 counting only the distinct ones).

The product of its (nonzero) digits is 1975680, while the sum is 49.

The square root of 5772743680 is about 75978.5738218348. The cubic root of 5772743680 is about 1793.8829060874.

The spelling of 5772743680 in words is "five billion, seven hundred seventy-two million, seven hundred forty-three thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 256 320 352 440 512 640 704 880 1024 1280 1408 1760 2560 2816 3520 5120 5632 7040 11264 14080 28160 56320 102499 204998 409996 512495 819992 1024990 1127489 1639984 2049980 2254978 3279968 4099960 4509956 5637445 6559936 8199920 9019912 11274890 13119872 16399840 18039824 22549780 26239744 32799680 36079648 45099560 52479488 65599360 72159296 90199120 104958976 131198720 144318592 180398240 262397440 288637184 360796480 524794880 577274368 721592960 1154548736 1443185920 2886371840 5772743680