Search a number
-
+
76849812848 = 2419222675869
BaseRepresentation
bin100011110010010011…
…0110001010101110000
321100100210110222121202
41013210212301111300
52224342023002343
655145422110332
75360260426334
oct1074446612560
9240323428552
1076849812848
112a656796926
1212a88a1b3a8
1373295b7453
143a106397c4
151eebb5edb8
hex11e49b1570

76849812848 has 60 divisors (see below), whose sum is σ = 157241732760. Its totient is φ = 36380285568.

The previous prime is 76849812841. The next prime is 76849812869. The reversal of 76849812848 is 84821894867.

It is a super-2 number, since 2×768498128482 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (76849812841) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13091258 + ... + 13097126.

It is an arithmetic number, because the mean of its divisors is an integer number (2620695546).

Almost surely, 276849812848 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 76849812848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78620866380).

76849812848 is an abundant number, since it is smaller than the sum of its proper divisors (80391919912).

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

76849812848 is a wasteful number, since it uses less digits than its factorization.

76849812848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8182 (or 8157 counting only the distinct ones).

The product of its digits is 49545216, while the sum is 65.

The spelling of 76849812848 in words is "seventy-six billion, eight hundred forty-nine million, eight hundred twelve thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 16 19 38 76 152 304 361 722 1444 2267 2888 4534 5776 5869 9068 11738 18136 23476 36272 43073 46952 86146 93904 111511 172292 223022 344584 446044 689168 818387 892088 1636774 1784176 2118709 3273548 4237418 6547096 8474836 13094192 13305023 16949672 26610046 33899344 53220092 106440184 212880368 252795437 505590874 1011181748 2022363496 4044726992 4803113303 9606226606 19212453212 38424906424 76849812848