Search a number
-
+
21200626445600 = 2552723164601137
BaseRepresentation
bin1001101001000001001111…
…10011101110110100100000
32210001202112002221100110002
410310200213303232310200
510234322340332224400
6113031233333355132
74315460200306640
oct464404763566440
983052462840402
1021200626445600
116834153a24a68
1224649a6a98aa8
13baa2975c64c4
14534189a54520
1526b724a64ed5
hex134827ceed20

21200626445600 has 144 divisors (see below), whose sum is σ = 61721476322688. Its totient is φ = 6952751984640.

The previous prime is 21200626445569. The next prime is 21200626445651. The reversal of 21200626445600 is 654462600212.

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, 82171769 + ... + 82429368.

It is an arithmetic number, because the mean of its divisors is an integer number (428621363352).

Almost surely, 221200626445600 is an apocalyptic number.

21200626445600 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21200626445600 is an abundant number, since it is smaller than the sum of its proper divisors (40520849877088).

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

21200626445600 is a wasteful number, since it uses less digits than its factorization.

21200626445600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 164601187 (or 164601174 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 38.

The spelling of 21200626445600 in words is "twenty-one trillion, two hundred billion, six hundred twenty-six million, four hundred forty-five thousand, six hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 23 25 28 32 35 40 46 50 56 70 80 92 100 112 115 140 160 161 175 184 200 224 230 280 322 350 368 400 460 560 575 644 700 736 800 805 920 1120 1150 1288 1400 1610 1840 2300 2576 2800 3220 3680 4025 4600 5152 5600 6440 8050 9200 12880 16100 18400 25760 32200 64400 128800 164601137 329202274 658404548 823005685 1152207959 1316809096 1646011370 2304415918 2633618192 3292022740 3785826151 4115028425 4608831836 5267236384 5761039795 6584045480 7571652302 8230056850 9217663672 11522079590 13168090960 15143304604 16460113700 18435327344 18929130755 23044159180 26336181920 26500783057 28805198975 30286609208 32920227400 36870654688 37858261510 46088318360 53001566114 57610397950 60573218416 65840454800 75716523020 92176636720 94645653775 106003132228 115220795900 121146436832 131680909600 132503915285 151433046040 184353273440 189291307550 212006264456 230441591800 265007830570 302866092080 378582615100 424012528912 460883183600 530015661140 605732184160 662519576425 757165230200 848025057824 921766367200 1060031322280 1325039152850 1514330460400 2120062644560 2650078305700 3028660920800 4240125289120 5300156611400 10600313222800 21200626445600