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1230897053764 = 2274113212
BaseRepresentation
bin10001111010010111001…
…011101000000001000100
311100200011022222001210001
4101322113023220001010
5130131334121210024
62341244415411044
7154633530220000
oct21722713500104
94320138861701
101230897053764
1143502532a974
1217a680b23a84
138c0c4784441
144380bb63700
152204245d244
hex11e972e8044

1230897053764 has 45 divisors (see below), whose sum is σ = 2513153949341. Its totient is φ = 527480711520.

The previous prime is 1230897053741. The next prime is 1230897053783. The reversal of 1230897053764 is 4673507980321.

The square root of 1230897053764 is 1109458.

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., 94029316164 + 1136867737600 = 306642^2 + 1066240^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 108721224 + ... + 108732544.

It is a 1-persistent number, because it is pandigital, but 2⋅1230897053764 = 2461794107528 is not.

Almost surely, 21230897053764 is an apocalyptic number.

1230897053764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1230897053764 is the 1109458-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1230897053764

1230897053764 is an abundant number, since it is smaller than the sum of its proper divisors (1282256895577).

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

1230897053764 is an frugal number, since it uses more digits than its factorization.

1230897053764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22674 (or 11330 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 55.

The spelling of 1230897053764 in words is "one trillion, two hundred thirty billion, eight hundred ninety-seven million, fifty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 7 14 28 49 98 196 343 686 1372 2401 4802 9604 11321 22642 45284 79247 158494 316988 554729 1109458 2218916 3883103 7766206 15532412 27181721 54363442 108726884 128165041 256330082 512660164 897155287 1794310574 3588621148 6280087009 12560174018 25120348036 43960609063 87921218126 175842436252 307724263441 615448526882 1230897053764