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2769870084 = 2231916374531
BaseRepresentation
bin1010010100011000…
…1101110100000100
321011000222222102220
42211012031310010
521133041320314
61134503532340
7125432335662
oct24506156404
97130888386
102769870084
1111a1579433
1265375a0b0
13351b0b0a7
141c3c1dc32
151132873a9
hexa518dd04

2769870084 has 48 divisors (see below), whose sum is σ = 6845018880. Its totient is φ = 869317920.

The previous prime is 2769870083. The next prime is 2769870121. The reversal of 2769870084 is 4800789672.

It is not an unprimeable number, because it can be changed into a prime (2769870083) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 102 + ... + 74429.

It is an arithmetic number, because the mean of its divisors is an integer number (142604560).

Almost surely, 22769870084 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 2769870084, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3422509440).

2769870084 is an abundant number, since it is smaller than the sum of its proper divisors (4075148796).

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

2769870084 is a wasteful number, since it uses less digits than its factorization.

2769870084 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74720 (or 74718 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 51.

The square root of 2769870084 is about 52629.5552327777. Note that the first 3 decimals coincide. The cubic root of 2769870084 is about 1404.3859195936.

The spelling of 2769870084 in words is "two billion, seven hundred sixty-nine million, eight hundred seventy thousand, eighty-four".

Divisors: 1 2 3 4 6 12 19 38 57 76 114 163 228 326 489 652 978 1956 3097 6194 9291 12388 18582 37164 74531 149062 223593 298124 447186 894372 1416089 2832178 4248267 5664356 8496534 12148553 16993068 24297106 36445659 48594212 72891318 145782636 230822507 461645014 692467521 923290028 1384935042 2769870084