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1312992847881 = 3211213226712
BaseRepresentation
bin10011000110110100011…
…110001110100000001001
311122112001201200111211100
4103012310132032200021
5133003002132113011
62443103001252013
7163601121030351
oct23066436164011
94575051614740
101312992847881
11466923262100
12192572794009
1396a78b63900
1447798db1b61
1524249912d56
hex131b478e809

1312992847881 has 81 divisors (see below), whose sum is σ = 2258169231591. Its totient is φ = 734266447200.

The previous prime is 1312992847871. The next prime is 1312992847883. The reversal of 1312992847881 is 1887482992131.

The square root of 1312992847881 is 1145859.

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

1312992847881 is a `hidden beast` number, since 13 + 129 + 9 + 28 + 478 + 8 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 194229711225 + 1118763136656 = 440715^2 + 1057716^2 .

It is not a de Polignac number, because 1312992847881 - 27 = 1312992847753 is a prime.

It is a super-2 number, since 2×13129928478812 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1312992847883) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 491572176 + ... + 491574846.

Almost surely, 21312992847881 is an apocalyptic number.

1312992847881 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1312992847881 is the 1145859-th square number.

1312992847881 is the 572930-th centered octagonal number.

It is an amenable number.

1312992847881 is a deficient number, since it is larger than the sum of its proper divisors (945176383710).

1312992847881 is an equidigital number, since it uses as much as digits as its factorization.

1312992847881 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5396 (or 2698 counting only the distinct ones).

The product of its digits is 13934592, while the sum is 63.

The spelling of 1312992847881 in words is "one trillion, three hundred twelve billion, nine hundred ninety-two million, eight hundred forty-seven thousand, eight hundred eighty-one".

Divisors: 1 3 9 11 13 33 39 99 117 121 143 169 363 429 507 1089 1287 1521 1573 1859 2671 4719 5577 8013 14157 16731 20449 24039 29381 34723 61347 88143 104169 184041 264429 312507 323191 381953 451399 969573 1145859 1354197 2908719 3437577 4062591 4201483 4965389 7134241 12604449 14896167 21402723 37813347 44688501 54619279 64208169 78476651 92745133 163857837 235429953 278235399 491573511 706289859 834706197 863243161 1020196463 1205686729 2589729483 3060589389 3617060187 7769188449 9181768167 10851180561 11222161093 13262554019 33666483279 39787662057 100999449837 119362986171 145888094209 437664282627 1312992847881