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1255726430464 = 2811263672
BaseRepresentation
bin10010010001011111001…
…000001011100100000000
311110001020201211002102111
4102101133020023210000
5131033211431233324
62400512303225104
7156503033355232
oct22213710134400
94401221732374
101255726430464
11444606919100
121834502a8194
139155084aa0c
1444ac55b4252
15229e717a794
hex1245f20b900

1255726430464 has 81 divisors (see below), whose sum is σ = 2755563708891. Its totient is φ = 570695093760.

The previous prime is 1255726430461. The next prime is 1255726430477. The reversal of 1255726430464 is 4640346275521.

The square root of 1255726430464 is 1120592.

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1255726430461) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 197221009 + ... + 197227375.

Almost surely, 21255726430464 is an apocalyptic number.

1255726430464 is the 1120592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1255726430464

1255726430464 is an abundant number, since it is smaller than the sum of its proper divisors (1499837278427).

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

1255726430464 is an frugal number, since it uses more digits than its factorization.

1255726430464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12772 (or 6380 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 49.

Multiplying 1255726430464 by its sum of digits (49), we get a square (61530595092736 = 78441442).

The spelling of 1255726430464 in words is "one trillion, two hundred fifty-five billion, seven hundred twenty-six million, four hundred thirty thousand, four hundred sixty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 121 128 176 242 256 352 484 704 968 1408 1936 2816 3872 6367 7744 12734 15488 25468 30976 50936 70037 101872 140074 203744 280148 407488 560296 770407 814976 1120592 1540814 1629952 2241184 3081628 4482368 6163256 8964736 12326512 17929472 24653024 40538689 49306048 81077378 98612096 162154756 197224192 324309512 445925579 648619024 891851158 1297238048 1783702316 2594476096 3567404632 4905181369 5188952192 7134809264 9810362738 10377904384 14269618528 19620725476 28539237056 39241450952 57078474112 78482901904 114156948224 156965803808 313931607616 627863215232 1255726430464