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1311789971556 = 22321908892
BaseRepresentation
bin10011000101101100110…
…001100111100001100100
311122101221220021001201100
4103011230301213201210
5132443021213042211
62442343351400100
7163526243532321
oct23055461474144
94571856231640
101311789971556
11466366271339
12192297983030
13969168a317c
14476c3333b48
15241c900a156
hex1316cc67864

1311789971556 has 27 divisors (see below), whose sum is σ = 3315930910201. Its totient is φ = 437261033184.

The previous prime is 1311789971477. The next prime is 1311789971567. The reversal of 1311789971556 is 6551799871131.

The square root of 1311789971556 is 1145334.

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

1311789971556 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 7 + 8 + 9 + 9 + 71 + 556 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14924531556 + 1296865440000 = 122166^2 + 1138800^2 .

It is a super-2 number, since 2×13117899715562 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1311789971493 and 1311789971502.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 6776560 + ... + 6967448.

Almost surely, 21311789971556 is an apocalyptic number.

1311789971556 is the 1145334-th square number.

It is an amenable number.

1311789971556 is an abundant number, since it is smaller than the sum of its proper divisors (2004140938645).

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

1311789971556 is an frugal number, since it uses more digits than its factorization.

1311789971556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 381788 (or 190894 counting only the distinct ones).

The product of its digits is 14288400, while the sum is 63.

The spelling of 1311789971556 in words is "one trillion, three hundred eleven billion, seven hundred eighty-nine million, nine hundred seventy-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 12 18 36 190889 381778 572667 763556 1145334 1718001 2290668 3436002 6872004 36438610321 72877220642 109315830963 145754441284 218631661926 327947492889 437263323852 655894985778 1311789971556