Search a number
-
+
5773416960 = 2935751747
BaseRepresentation
bin1010110000001111…
…10101101000000000
3112220100200222011210
411120013311220000
543310443320320
62352520210120
7263033143263
oct53007655000
915810628153
105773416960
1124a2a41683
121151609940
13710164b6c
143caaaacda
1523bccc0e0
hex1581f5a00

5773416960 has 80 divisors (see below), whose sum is σ = 18456916896. Its totient is φ = 1539575808.

The previous prime is 5773416959. The next prime is 5773416977. The reversal of 5773416960 is 696143775.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-4 number, since 4×57734169604 (a number of 40 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 368194 + ... + 383553.

Almost surely, 25773416960 is an apocalyptic number.

It is an amenable number.

5773416960 is an abundant number, since it is smaller than the sum of its proper divisors (12683499936).

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

5773416960 is an equidigital number, since it uses as much as digits as its factorization.

5773416960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 751773 (or 751757 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 48.

The square root of 5773416960 is about 75983.0044154612. The cubic root of 5773416960 is about 1793.9526440721.

The spelling of 5773416960 in words is "five billion, seven hundred seventy-three million, four hundred sixteen thousand, nine hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 512 640 768 960 1280 1536 1920 2560 3840 7680 751747 1503494 2255241 3006988 3758735 4510482 6013976 7517470 9020964 11276205 12027952 15034940 18041928 22552410 24055904 30069880 36083856 45104820 48111808 60139760 72167712 90209640 96223616 120279520 144335424 180419280 192447232 240559040 288670848 360838560 384894464 481118080 577341696 721677120 962236160 1154683392 1443354240 1924472320 2886708480 5773416960