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12047413620 = 22351133155147
BaseRepresentation
bin10110011100001010…
…01111000101110100
31011002121100000121110
423032011033011310
5144133114213440
65311241515020
7604355216604
oct131605170564
934077300543
1012047413620
1151224a6190
1224027a2a70
13119cc25918
14824040c04
154a79d9080
hex2ce14f174

12047413620 has 96 divisors (see below), whose sum is σ = 36911218176. Its totient is φ = 2911708800.

The previous prime is 12047413607. The next prime is 12047413649. The reversal of 12047413620 is 2631474021.

12047413620 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 190887 + ... + 246033.

It is an arithmetic number, because the mean of its divisors is an integer number (384491856).

Almost surely, 212047413620 is an apocalyptic number.

12047413620 is a gapful number since it is divisible by the number (10) 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 12047413620, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18455609088).

12047413620 is an abundant number, since it is smaller than the sum of its proper divisors (24863804556).

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

12047413620 is a wasteful number, since it uses less digits than its factorization.

12047413620 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55501 (or 55499 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 30.

Adding to 12047413620 its reverse (2631474021), we get a palindrome (14678887641).

The spelling of 12047413620 in words is "twelve billion, forty-seven million, four hundred thirteen thousand, six hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 331 660 662 993 1324 1655 1986 3310 3641 3972 4965 6620 7282 9930 10923 14564 18205 19860 21846 36410 43692 54615 55147 72820 109230 110294 165441 218460 220588 275735 330882 551470 606617 661764 827205 1102940 1213234 1654410 1819851 2426468 3033085 3308820 3639702 6066170 7279404 9099255 12132340 18198510 18253657 36397020 36507314 54760971 73014628 91268285 109521942 182536570 200790227 219043884 273804855 365073140 401580454 547609710 602370681 803160908 1003951135 1095219420 1204741362 2007902270 2409482724 3011853405 4015804540 6023706810 12047413620