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12007032726 = 2313374878543
BaseRepresentation
bin10110010111010110…
…01100011110010110
31010222210100110102210
423023223030132112
5144042300021401
65303240214250
7603355044213
oct131353143626
933883313383
1012007032726
115101725447
1223b116a386
1311947578c0
1481c92cb0a
154a41ae4d6
hex2cbacc796

12007032726 has 64 divisors (see below), whose sum is σ = 26617909248. Its totient is φ = 3586819968.

The previous prime is 12007032673. The next prime is 12007032743. The reversal of 12007032726 is 62723070021.

It is a junction number, because it is equal to n+sod(n) for n = 12007032693 and 12007032702.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1401211 + ... + 1409753.

It is an arithmetic number, because the mean of its divisors is an integer number (415904832).

Almost surely, 212007032726 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12007032726, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13308954624).

12007032726 is an abundant number, since it is smaller than the sum of its proper divisors (14610876522).

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

12007032726 is a wasteful number, since it uses less digits than its factorization.

12007032726 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9085.

The product of its (nonzero) digits is 7056, while the sum is 30.

The spelling of 12007032726 in words is "twelve billion, seven million, thirty-two thousand, seven hundred twenty-six".

Divisors: 1 2 3 6 13 26 37 39 74 78 111 222 481 487 962 974 1443 1461 2886 2922 6331 8543 12662 17086 18019 18993 25629 36038 37986 51258 54057 108114 111059 222118 234247 316091 333177 468494 632182 666354 702741 948273 1405482 1896546 4109183 4160441 8218366 8320882 12327549 12481323 24655098 24962646 54085733 108171466 153936317 162257199 307872634 324514398 461808951 923617902 2001172121 4002344242 6003516363 12007032726