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1077383796841 = 11212727432
BaseRepresentation
bin11111010110110010001…
…01000001100001101001
310210222220201200121102201
433223121011001201221
5120122440222444331
62142535425500201
7140560401113122
oct17533105014151
93728821617381
101077383796841
11385a0907a900
121549797a1661
137a79b3a6541
143a207963049
151d05a203a61
hexfad9141869

1077383796841 has 27 divisors (see below), whose sum is σ = 1195238521533. Its totient is φ = 970419847320.

The previous prime is 1077383796809. The next prime is 1077383796943. The reversal of 1077383796841 is 1486973837701.

The square root of 1077383796841 is 1037971.

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

It is not a de Polignac number, because 1077383796841 - 25 = 1077383796809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1077383794841) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 1450045116 + ... + 1450045858.

Almost surely, 21077383796841 is an apocalyptic number.

1077383796841 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1077383796841 is the 1037971-st square number.

1077383796841 is the 518986-th centered octagonal number.

It is an amenable number.

1077383796841 is a deficient number, since it is larger than the sum of its proper divisors (117854724692).

1077383796841 is an frugal number, since it uses more digits than its factorization.

1077383796841 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1762 (or 881 counting only the distinct ones).

The product of its (nonzero) digits is 42674688, while the sum is 64.

Multiplying 1077383796841 by its sum of digits (64), we get a square (68952562997824 = 83037682).

The spelling of 1077383796841 in words is "one trillion, seventy-seven billion, three hundred eighty-three million, seven hundred ninety-six thousand, eight hundred forty-one".

Divisors: 1 11 121 127 743 1397 8173 15367 16129 89903 94361 177419 552049 1037971 1951609 6072539 11417681 11983847 66797929 70110223 131822317 771212453 1450045487 8483336983 8903998321 97943981531 1077383796841