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21374440562500 = 2256184932
BaseRepresentation
bin1001101110000100111111…
…11011111101111101000100
32210200101011111212100100021
410313002133323331331010
510300144323241000000
6113243141001224524
74334152364031304
oct467023773757504
983611144770307
1021374440562500
1168a0938515663
122492614a92144
13bc07a77bb39c
1453c758095604
15270ee916911a
hex13709fefdf44

21374440562500 has 63 divisors (see below), whose sum is σ = 46758518690331. Its totient is φ = 8549313900000.

The previous prime is 21374440562467. The next prime is 21374440562509. The reversal of 21374440562500 is 526504447312.

The square root of 21374440562500 is 4623250.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 10 ways, for example, as 16068825856836 + 5305614705664 = 4008594^2 + 2303392^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (21374440562509) by changing a digit.

It is a polite number, since it can be written in 20 ways as a sum of consecutive naturals, for example, 1155803254 + ... + 1155821746.

Almost surely, 221374440562500 is an apocalyptic number.

21374440562500 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

21374440562500 is the 4623250-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 21374440562500

21374440562500 is an abundant number, since it is smaller than the sum of its proper divisors (25384078127831).

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

21374440562500 is an frugal number, since it uses more digits than its factorization.

21374440562500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 37020 (or 18500 counting only the distinct ones).

The product of its (nonzero) digits is 806400, while the sum is 43.

The spelling of 21374440562500 in words is "twenty-one trillion, three hundred seventy-four billion, four hundred forty million, five hundred sixty-two thousand, five hundred".

Divisors: 1 2 4 5 10 20 25 50 100 125 250 500 625 1250 2500 3125 6250 12500 15625 18493 31250 36986 62500 73972 92465 184930 369860 462325 924650 1849300 2311625 4623250 9246500 11558125 23116250 46232500 57790625 115581250 231162500 288953125 341991049 577906250 683982098 1155812500 1367964196 1709955245 3419910490 6839820980 8549776225 17099552450 34199104900 42748881125 85497762250 170995524500 213744405625 427488811250 854977622500 1068722028125 2137444056250 4274888112500 5343610140625 10687220281250 21374440562500