Search a number
-
+
7836494742 = 233145120273
BaseRepresentation
bin1110100110001011…
…10110101110010110
3202020010202011212000
413103011312232112
5112022120312432
63333335140130
7365124051306
oct72305665626
922203664760
107836494742
11336155153a
121628514646
1397b6c604b
14544aa5606
1530ce9e57c
hex1d3176b96

7836494742 has 16 divisors (see below), whose sum is σ = 17414432880. Its totient is φ = 2612164896.

The previous prime is 7836494737. The next prime is 7836494773. The reversal of 7836494742 is 2474946387.

7836494742 is a `hidden beast` number, since 7 + 83 + 6 + 494 + 74 + 2 = 666.

It is a super-3 number, since 3×78364947423 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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: 145120273 = 7836494742 / (7 + 8 + 3 + 6 + 4 + 9 + 4 + 7 + 4 + 2).

It is a congruent number.

It is an unprimeable number.

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, 72560083 + ... + 72560190.

It is an arithmetic number, because the mean of its divisors is an integer number (1088402055).

Almost surely, 27836494742 is an apocalyptic number.

7836494742 is an abundant number, since it is smaller than the sum of its proper divisors (9577938138).

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

7836494742 is a wasteful number, since it uses less digits than its factorization.

7836494742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145120284 (or 145120278 counting only the distinct ones).

The product of its digits is 8128512, while the sum is 54.

The square root of 7836494742 is about 88523.9783448530. The cubic root of 7836494742 is about 1986.2806669718.

The spelling of 7836494742 in words is "seven billion, eight hundred thirty-six million, four hundred ninety-four thousand, seven hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 145120273 290240546 435360819 870721638 1306082457 2612164914 3918247371 7836494742