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1295628998049 = 341264732
BaseRepresentation
bin10010110110101001100…
…000011001010110100001
311120212020121112112210000
4102312221200121112201
5132211422010414144
62431112001530213
7162414615526431
oct22665140312641
94525217475700
101295628998049
1145a522879791
1218b127643969
139523c678359
14469ccc5c2c1
1523a80318769
hex12da98195a1

1295628998049 has 15 divisors (see below), whose sum is σ = 1935461090563. Its totient is φ = 863745835824.

The previous prime is 1295628998023. The next prime is 1295628998057. The reversal of 1295628998049 is 9408998265921.

The square root of 1295628998049 is 1138257.

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

1295628998049 is a `hidden beast` number, since 12 + 9 + 562 + 8 + 9 + 9 + 8 + 0 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 157208285025 + 1138420713024 = 396495^2 + 1066968^2 .

It is not a de Polignac number, because 1295628998049 - 231 = 1293481514401 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1295628998249) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10181077 + ... + 10307549.

Almost surely, 21295628998049 is an apocalyptic number.

1295628998049 is the 1138257-th square number.

1295628998049 is the 569129-th centered octagonal number.

It is an amenable number.

1295628998049 is a deficient number, since it is larger than the sum of its proper divisors (639832092514).

1295628998049 is an frugal number, since it uses more digits than its factorization.

1295628998049 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 252958 (or 126476 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 1295628998049 in words is "one trillion, two hundred ninety-five billion, six hundred twenty-eight million, nine hundred ninety-eight thousand, forty-nine".

Divisors: 1 3 9 27 81 126473 379419 1138257 3414771 10244313 15995419729 47986259187 143958777561 431876332683 1295628998049