Search a number
-
+
1678314130794 = 23374439984473
BaseRepresentation
bin11000011011000011010…
…100010100110101101010
312221110000121010112012000
4120123003110110311222
5204444141404141134
63323001252231430
7232153121506050
oct30330324246552
95843017115160
101678314130794
11597850634034
1223132800b576
13c23589bb3c2
145b3335bc1d0
152d9cba90e99
hex186c3514d6a

1678314130794 has 32 divisors (see below), whose sum is σ = 4262385095040. Its totient is φ = 479518322976.

The previous prime is 1678314130739. The next prime is 1678314130799. The reversal of 1678314130794 is 4970314138761.

1678314130794 is a `hidden beast` number, since 1 + 67 + 83 + 1 + 413 + 0 + 7 + 94 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 1678314130794.

It is not an unprimeable number, because it can be changed into a prime (1678314130799) 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 15 ways as a sum of consecutive naturals, for example, 2219991859 + ... + 2219992614.

It is an arithmetic number, because the mean of its divisors is an integer number (133199534220).

Almost surely, 21678314130794 is an apocalyptic number.

1678314130794 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1678314130794 is an abundant number, since it is smaller than the sum of its proper divisors (2584070964246).

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

1678314130794 is a wasteful number, since it uses less digits than its factorization.

1678314130794 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4439984491 (or 4439984485 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 1678314130794 in words is "one trillion, six hundred seventy-eight billion, three hundred fourteen million, one hundred thirty thousand, seven hundred ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 4439984473 8879968946 13319953419 26639906838 31079891311 39959860257 62159782622 79919720514 93239673933 119879580771 186479347866 239759161542 279719021799 559438043598 839157065397 1678314130794