Search a number
-
+
1028942760348 = 22339527247781
BaseRepresentation
bin11101111100100011100…
…01001000100110011100
310122100212210022222201000
432332101301020212130
5113324233321312343
62104404554150300
7134224106104356
oct16762161104634
93570783288630
101028942760348
11367410400148
121474baa22390
137604b602039
1437b302c40d6
151bb72653ed3
hexef91c4899c

1028942760348 has 24 divisors (see below), whose sum is σ = 2667629378960. Its totient is φ = 342980920080.

The previous prime is 1028942760323. The next prime is 1028942760401. The reversal of 1028942760348 is 8430672498201.

1028942760348 is a `hidden beast` number, since 1 + 0 + 2 + 8 + 9 + 4 + 27 + 603 + 4 + 8 = 666.

1028942760348 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×10289427603482 (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 junction number, because it is equal to n+sod(n) for n = 1028942760294 and 1028942760303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4763623783 + ... + 4763623998.

Almost surely, 21028942760348 is an apocalyptic number.

1028942760348 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1028942760348 is an abundant number, since it is smaller than the sum of its proper divisors (1638686618612).

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

1028942760348 is a wasteful number, since it uses less digits than its factorization.

1028942760348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9527247794 (or 9527247786 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 1028942760348 in words is "one trillion, twenty-eight billion, nine hundred forty-two million, seven hundred sixty thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 9527247781 19054495562 28581743343 38108991124 57163486686 85745230029 114326973372 171490460058 257235690087 342980920116 514471380174 1028942760348