Search a number
-
+
134055372978 = 2332482506907
BaseRepresentation
bin111110011011001010…
…0101010100010110010
3110211000112211112112000
41330312110222202302
54144021133413403
6141330103514430
712454005604122
oct1746624524262
9424015745460
10134055372978
115194184394a
1221b92a58a16
13c845113107
1466b9d14c82
153748dc57a3
hex1f3652a8b2

134055372978 has 16 divisors (see below), whose sum is σ = 297900828960. Its totient is φ = 44685124308.

The previous prime is 134055372973. The next prime is 134055373027. The reversal of 134055372978 is 879273550431.

134055372978 is a `hidden beast` number, since 1 + 34 + 0 + 5 + 537 + 2 + 9 + 78 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54), and also a Moran number because the ratio is a prime number: 2482506907 = 134055372978 / (1 + 3 + 4 + 0 + 5 + 5 + 3 + 7 + 2 + 9 + 7 + 8).

It is not an unprimeable number, because it can be changed into a prime (134055372973) 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 7 ways as a sum of consecutive naturals, for example, 1241253400 + ... + 1241253507.

It is an arithmetic number, because the mean of its divisors is an integer number (18618801810).

Almost surely, 2134055372978 is an apocalyptic number.

134055372978 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

134055372978 is an abundant number, since it is smaller than the sum of its proper divisors (163845455982).

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

134055372978 is a wasteful number, since it uses less digits than its factorization.

134055372978 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2482506918 (or 2482506912 counting only the distinct ones).

The product of its (nonzero) digits is 6350400, while the sum is 54.

The spelling of 134055372978 in words is "one hundred thirty-four billion, fifty-five million, three hundred seventy-two thousand, nine hundred seventy-eight".

Divisors: 1 2 3 6 9 18 27 54 2482506907 4965013814 7447520721 14895041442 22342562163 44685124326 67027686489 134055372978