Search a number
-
+
1077831769212 = 22361126174951
BaseRepresentation
bin11111010111100111100…
…01111001110001111100
310211001001221121222000000
433223303301321301330
5120124344413103322
62143052111234300
7140604450606042
oct17536361716174
93731057558000
101077831769212
11386118a31100
12154a83818990
137a840143353
143a24b254392
151d0846e13ac
hexfaf3c79c7c

1077831769212 has 252 divisors, whose sum is σ = 3114145887888. Its totient is φ = 326020464000.

The previous prime is 1077831769129. The next prime is 1077831769247. The reversal of 1077831769212 is 2129671387701.

1077831769212 is a `hidden beast` number, since 107 + 7 + 8 + 317 + 6 + 9 + 212 = 666.

It is a super-2 number, since 2×10778317692122 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 83 ways as a sum of consecutive naturals, for example, 217697337 + ... + 217702287.

Almost surely, 21077831769212 is an apocalyptic number.

1077831769212 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1077831769212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1557072943944).

1077831769212 is an abundant number, since it is smaller than the sum of its proper divisors (2036314118676).

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

1077831769212 is a wasteful number, since it uses less digits than its factorization.

1077831769212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5612 (or 5584 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 1077831769212 in words is "one trillion, seventy-seven billion, eight hundred thirty-one million, seven hundred sixty-nine thousand, two hundred twelve".