Search a number
-
+
2064552240000 = 273548602301
BaseRepresentation
bin11110000010110000111…
…001110010001110000000
321022100222012021102000210
4132002300321302032000
5232311200333140000
64220235303314120
7302105346330345
oct36026071621600
97270865242023
102064552240000
11726631a0a168
1229415a44b940
1311c8c0158ba3
1471cd3b6a7cc
1538a851dc350
hex1e0b0e72380

2064552240000 has 160 divisors (see below), whose sum is σ = 6852765819240. Its totient is φ = 550547200000.

The previous prime is 2064552239989. The next prime is 2064552240011. The reversal of 2064552240000 is 422554602.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2064552239989) and next prime (2064552240011).

It is a tau number, because it is divible by the number of its divisors (160).

It is a hoax number, since the sum of its digits (30) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 2064552240000.

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 4061151 + ... + 4541150.

Almost surely, 22064552240000 is an apocalyptic number.

2064552240000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2064552240000 is an abundant number, since it is smaller than the sum of its proper divisors (4788213579240).

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

2064552240000 is an frugal number, since it uses more digits than its factorization.

2064552240000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8602338 (or 8602311 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 30.

Adding to 2064552240000 its reverse (422554602), we get a palindrome (2064974794602).

The spelling of 2064552240000 in words is "two trillion, sixty-four billion, five hundred fifty-two million, two hundred forty thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 64 75 80 96 100 120 125 128 150 160 192 200 240 250 300 320 375 384 400 480 500 600 625 640 750 800 960 1000 1200 1250 1500 1600 1875 1920 2000 2400 2500 3000 3200 3750 4000 4800 5000 6000 7500 8000 9600 10000 12000 15000 16000 20000 24000 30000 40000 48000 60000 80000 120000 240000 8602301 17204602 25806903 34409204 43011505 51613806 68818408 86023010 103227612 129034515 137636816 172046020 206455224 215057525 258069030 275273632 344092040 412910448 430115050 516138060 550547264 645172575 688184080 825820896 860230100 1032276120 1075287625 1101094528 1290345150 1376368160 1651641792 1720460200 2064552240 2150575250 2580690300 2752736320 3225862875 3303283584 3440920400 4129104480 4301150500 5161380600 5376438125 5505472640 6451725750 6881840800 8258208960 8602301000 10322761200 10752876250 12903451500 13763681600 16129314375 16516417920 17204602000 20645522400 21505752500 25806903000 27527363200 32258628750 34409204000 41291044800 43011505000 51613806000 64517257500 68818408000 82582089600 86023010000 103227612000 129034515000 137636816000 172046020000 206455224000 258069030000 344092040000 412910448000 516138060000 688184080000 1032276120000 2064552240000