Search a number
-
+
21403564773600 = 2535220894269101
BaseRepresentation
bin1001101110111011001111…
…11000000001000011100000
32210210011100020012120012110
410313131213320001003200
510301134000040223400
6113304354550155320
74336233200526612
oct467354770010340
983704306176173
1021403564773600
116902223363509
1224981a2652b40
13bc34695b5ba9
1453dd1c086db2
15271b50e49e50
hex137767e010e0

21403564773600 has 144 divisors (see below), whose sum is σ = 69701969882160. Its totient is φ = 5704883712000.

The previous prime is 21403564773581. The next prime is 21403564773629. The reversal of 21403564773600 is 637746530412.

It is a super-2 number, since 2×214035647736002 (a number of 27 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 21403564773600.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2879050 + ... + 7148150.

It is an arithmetic number, because the mean of its divisors is an integer number (484041457515).

Almost surely, 221403564773600 is an apocalyptic number.

21403564773600 is a gapful number since it is divisible by the number (20) 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 21403564773600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34850984941080).

21403564773600 is an abundant number, since it is smaller than the sum of its proper divisors (48298405108560).

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

21403564773600 is a wasteful number, since it uses less digits than its factorization.

21403564773600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4271213 (or 4271200 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 48.

The spelling of 21403564773600 in words is "twenty-one trillion, four hundred three billion, five hundred sixty-four million, seven hundred seventy-three thousand, six hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 32 40 48 50 60 75 80 96 100 120 150 160 200 240 300 400 480 600 800 1200 2089 2400 4178 6267 8356 10445 12534 16712 20890 25068 31335 33424 41780 50136 52225 62670 66848 83560 100272 104450 125340 156675 167120 200544 208900 250680 313350 334240 417800 501360 626700 835600 1002720 1253400 1671200 2506800 4269101 5013600 8538202 12807303 17076404 21345505 25614606 34152808 42691010 51229212 64036515 68305616 85382020 102458424 106727525 128073030 136611232 170764040 204916848 213455050 256146060 320182575 341528080 409833696 426910100 512292120 640365150 683056160 853820200 1024584240 1280730300 1707640400 2049168480 2561460600 3415280800 5122921200 8918151989 10245842400 17836303978 26754455967 35672607956 44590759945 53508911934 71345215912 89181519890 107017823868 133772279835 142690431824 178363039780 214035647736 222953799725 267544559670 285380863648 356726079560 428071295472 445907599450 535089119340 668861399175 713452159120 856142590944 891815198900 1070178238680 1337722798350 1426904318240 1783630397800 2140356477360 2675445596700 3567260795600 4280712954720 5350891193400 7134521591200 10701782386800 21403564773600