Search a number
-
+
1206834190848 = 2933112131923127
BaseRepresentation
bin10001100011111100111…
…011000101101000000000
311021101001100102222101000
4101203330323011220000
5124233044023101343
62322224553012000
7153122322236466
oct21437473055000
94241040388330
101206834190848
114258a7490900
12175a863b4000
1389a5b448010
14425a8042836
15215d4ba0ed3
hex118fcec5a00

1206834190848 has 1920 divisors, whose sum is σ = 4681300377600. Its totient is φ = 303495413760.

The previous prime is 1206834190819. The next prime is 1206834190879. The reversal of 1206834190848 is 8480914386021.

It is a happy number.

1206834190848 is a `hidden beast` number, since 1 + 206 + 8 + 341 + 90 + 8 + 4 + 8 = 666.

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 = 1206834190794 and 1206834190803.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 9502631361 + ... + 9502631487.

It is an arithmetic number, because the mean of its divisors is an integer number (2438177280).

Almost surely, 21206834190848 is an apocalyptic number.

1206834190848 is a gapful number since it is divisible by the number (18) 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 1206834190848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2340650188800).

1206834190848 is an abundant number, since it is smaller than the sum of its proper divisors (3474466186752).

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

1206834190848 is a wasteful number, since it uses less digits than its factorization.

1206834190848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 231 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2654208, while the sum is 54.

The spelling of 1206834190848 in words is "one trillion, two hundred six billion, eight hundred thirty-four million, one hundred ninety thousand, eight hundred forty-eight".