Search a number
-
+
1166435723420 = 2251131171031631
BaseRepresentation
bin10000111110010100111…
…111001010100010011100
311010111202220121012022122
4100332110333022202130
5123102330021122140
62251504141402112
7150162236026202
oct20762477124234
94114686535278
101166435723420
1140a756614340
1216a090b69338
1385cc096c916
144065498d072
152051d209ab5
hex10f94fca89c

1166435723420 has 48 divisors (see below), whose sum is σ = 2758398160896. Its totient is φ = 410475912000.

The previous prime is 1166435723393. The next prime is 1166435723437. The reversal of 1166435723420 is 243275346611.

It is a Harshad number since it is a multiple of its sum of digits (44).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85508996 + ... + 85522635.

It is an arithmetic number, because the mean of its divisors is an integer number (57466628352).

Almost surely, 21166435723420 is an apocalyptic number.

1166435723420 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1166435723420 is an abundant number, since it is smaller than the sum of its proper divisors (1591962437476).

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

1166435723420 is a wasteful number, since it uses less digits than its factorization.

1166435723420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171031682 (or 171031680 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 44.

The spelling of 1166435723420 in words is "one trillion, one hundred sixty-six billion, four hundred thirty-five million, seven hundred twenty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 31 44 55 62 110 124 155 220 310 341 620 682 1364 1705 3410 6820 171031631 342063262 684126524 855158155 1710316310 1881347941 3420632620 3762695882 5301980561 7525391764 9406739705 10603961122 18813479410 21207922244 26509902805 37626958820 53019805610 58321786171 106039611220 116643572342 233287144684 291608930855 583217861710 1166435723420