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2694036096 = 27329724109
BaseRepresentation
bin1010000010010011…
…1011101010000000
320221202022012202200
42200210323222000
521004133123341
61123154313200
7123521633433
oct24044735200
96852265680
102694036096
111162793214
12632288800
1333c1a8ccb
141b7b1d81a
1510b7a7db6
hexa093ba80

2694036096 has 96 divisors (see below), whose sum is σ = 7832615700. Its totient is φ = 888717312.

The previous prime is 2694036073. The next prime is 2694036101. The reversal of 2694036096 is 6906304962.

It can be written as a sum of positive squares in 2 ways, for example, as 2689874496 + 4161600 = 51864^2 + 2040^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 99690 + ... + 123798.

Almost surely, 22694036096 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 2694036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3916307850).

2694036096 is an abundant number, since it is smaller than the sum of its proper divisors (5138579604).

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

2694036096 is a wasteful number, since it uses less digits than its factorization.

2694036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24226 (or 24211 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 45.

The square root of 2694036096 is about 51904.1048087721. The cubic root of 2694036096 is about 1391.4506353772.

It can be divided in two parts, 26940 and 36096, that added together give a palindrome (63036).

The spelling of 2694036096 in words is "two billion, six hundred ninety-four million, thirty-six thousand, ninety-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 97 128 144 192 194 288 291 384 388 576 582 776 873 1152 1164 1552 1746 2328 3104 3492 4656 6208 6984 9312 12416 13968 18624 24109 27936 37248 48218 55872 72327 96436 111744 144654 192872 216981 289308 385744 433962 578616 771488 867924 1157232 1542976 1735848 2314464 2338573 3085952 3471696 4628928 4677146 6943392 7015719 9257856 9354292 13886784 14031438 18708584 21047157 27773568 28062876 37417168 42094314 56125752 74834336 84188628 112251504 149668672 168377256 224503008 299337344 336754512 449006016 673509024 898012032 1347018048 2694036096