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12006799936 = 262926924049
BaseRepresentation
bin10110010111010100…
…10011101001000000
31010222202220122002221
423023222103221000
5144042220044221
65303231220424
7603353054425
oct131352235100
933882818087
1012006799936
11510158655a
1223b1077714
1311946a5961
1481c8abd4c
154a4165541
hex2cba93a40

12006799936 has 56 divisors (see below), whose sum is σ = 24740235000. Its totient is φ = 5774598144.

The previous prime is 12006799927. The next prime is 12006799943. The reversal of 12006799936 is 63999760021.

It can be written as a sum of positive squares in 4 ways, for example, as 225000000 + 11781799936 = 15000^2 + 108544^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 487240 + ... + 511288.

Almost surely, 212006799936 is an apocalyptic number.

12006799936 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 12006799936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12370117500).

12006799936 is an abundant number, since it is smaller than the sum of its proper divisors (12733435064).

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

12006799936 is a wasteful number, since it uses less digits than its factorization.

12006799936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24359 (or 24349 counting only the distinct ones).

The product of its (nonzero) digits is 1102248, while the sum is 52.

The spelling of 12006799936 in words is "twelve billion, six million, seven hundred ninety-nine thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 29 32 58 64 116 232 269 464 538 928 1076 1856 2152 4304 7801 8608 15602 17216 24049 31204 48098 62408 96196 124816 192392 249632 384784 499264 697421 769568 1394842 1539136 2789684 5579368 6469181 11158736 12938362 22317472 25876724 44634944 51753448 103506896 187606249 207013792 375212498 414027584 750424996 1500849992 3001699984 6003399968 12006799936