Search a number
-
+
12292036096 = 29233532957
BaseRepresentation
bin10110111001010100…
…11001011000000000
31011201122122010120011
423130222121120000
5200133230123341
65351420554304
7613415403634
oct133452313000
934648563504
1012292036096
11523859671a
1224706b2994
13120b804752
1484871adc4
154be209b81
hex2dca99600

12292036096 has 80 divisors (see below), whose sum is σ = 25709184864. Its totient is φ = 5860163584.

The previous prime is 12292036091. The next prime is 12292036109. The reversal of 12292036096 is 69063029221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12292036091) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4155450 + ... + 4158406.

Almost surely, 212292036096 is an apocalyptic number.

12292036096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12292036096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12854592432).

12292036096 is an abundant number, since it is smaller than the sum of its proper divisors (13417148768).

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

12292036096 is an equidigital number, since it uses as much as digits as its factorization.

12292036096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3351 (or 3335 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 40.

The spelling of 12292036096 in words is "twelve billion, two hundred ninety-two million, thirty-six thousand, ninety-six".

Divisors: 1 2 4 8 16 23 32 46 64 92 128 184 256 353 368 512 706 736 1412 1472 2824 2944 2957 5648 5888 5914 8119 11296 11776 11828 16238 22592 23656 32476 45184 47312 64952 68011 90368 94624 129904 136022 180736 189248 259808 272044 378496 519616 544088 756992 1039232 1043821 1088176 1513984 2078464 2087642 2176352 4156928 4175284 4352704 8350568 8705408 16701136 17410816 24007883 33402272 34821632 48015766 66804544 96031532 133609088 192063064 267218176 384126128 534436352 768252256 1536504512 3073009024 6146018048 12292036096