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1366490860900 = 2252112106272
BaseRepresentation
bin10011111000101001001…
…100111100110101100100
311211122011002122011012221
4103320221030330311210
5134342033130022100
62523431321322124
7200503626445654
oct23705114746544
94748132564187
101366490860900
11487586515100
121a0a03036344
139bb23525709
144a1d2104364
152582b42101a
hex13e2933cd64

1366490860900 has 81 divisors (see below), whose sum is σ = 3259669770777. Its totient is φ = 496859008800.

The previous prime is 1366490860849. The next prime is 1366490860907. The reversal of 1366490860900 is 90680946631.

The square root of 1366490860900 is 1168970.

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

It can be written as a sum of positive squares in only one way, i.e., 491936709924 + 874554150976 = 701382^2 + 935176^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1366490860907) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 128581387 + ... + 128592013.

Almost surely, 21366490860900 is an apocalyptic number.

1366490860900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

1366490860900 is the 1168970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1366490860900

1366490860900 is an abundant number, since it is smaller than the sum of its proper divisors (1893178909877).

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

1366490860900 is an equidigital number, since it uses as much as digits as its factorization.

1366490860900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21290 (or 10645 counting only the distinct ones).

The product of its (nonzero) digits is 1679616, while the sum is 52.

The spelling of 1366490860900 in words is "one trillion, three hundred sixty-six billion, four hundred ninety million, eight hundred sixty thousand, nine hundred".

Divisors: 1 2 4 5 10 11 20 22 25 44 50 55 100 110 121 220 242 275 484 550 605 1100 1210 2420 3025 6050 10627 12100 21254 42508 53135 106270 116897 212540 233794 265675 467588 531350 584485 1062700 1168970 1285867 2337940 2571734 2922425 5143468 5844850 6429335 11689700 12858670 25717340 32146675 64293350 112933129 128586700 225866258 451732516 564665645 1129331290 1242264419 2258662580 2484528838 2823328225 4969057676 5646656450 6211322095 11293312900 12422644190 13664908609 24845288380 27329817218 31056610475 54659634436 62113220950 68324543045 124226441900 136649086090 273298172180 341622715225 683245430450 1366490860900