Search a number
-
+
21620155006000 = 245347230001649
BaseRepresentation
bin1001110101001110101011…
…01010001011110000110000
32211112212101202221101010201
410322213111222023300300
510313211034140143000
6113552055002404544
74361001411242245
oct472472552136060
984485352841121
1021620155006000
116986068956881
12251216a200754
13c0aa05a47015
1454a5c765d5cc
152775cab0396a
hex13a9d5a8bc30

21620155006000 has 80 divisors (see below), whose sum is σ = 53389823011200. Its totient is φ = 8464060646400.

The previous prime is 21620155005949. The next prime is 21620155006067. The reversal of 21620155006000 is 60055102612.

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

It is a super-2 number, since 2×216201550060002 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 21620155006000.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 114906825 + ... + 115094824.

It is an arithmetic number, because the mean of its divisors is an integer number (667372787640).

Almost surely, 221620155006000 is an apocalyptic number.

21620155006000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

21620155006000 is an abundant number, since it is smaller than the sum of its proper divisors (31769668005200).

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

21620155006000 is a wasteful number, since it uses less digits than its factorization.

21620155006000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 230001719 (or 230001703 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The spelling of 21620155006000 in words is "twenty-one trillion, six hundred twenty billion, one hundred fifty-five million, six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 47 50 80 94 100 125 188 200 235 250 376 400 470 500 752 940 1000 1175 1880 2000 2350 3760 4700 5875 9400 11750 18800 23500 47000 94000 230001649 460003298 920006596 1150008245 1840013192 2300016490 3680026384 4600032980 5750041225 9200065960 10810077503 11500082450 18400131920 21620155006 23000164900 28750206125 43240310012 46000329800 54050387515 57500412250 86480620024 92000659600 108100775030 115000824500 172961240048 216201550060 230001649000 270251937575 432403100120 460003298000 540503875150 864806200240 1081007750300 1351259687875 2162015500600 2702519375750 4324031001200 5405038751500 10810077503000 21620155006000