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2012047104 = 28317198111
BaseRepresentation
bin111011111101101…
…0110011100000000
312012020000120202010
41313323112130000
513110041001404
6531353052520
7100601055354
oct16773263400
95166016663
102012047104
11942825851
124819b7140
13260b04922
14151313464
15bb992189
hex77ed6700

2012047104 has 144 divisors (see below), whose sum is σ = 5969134080. Its totient is φ = 597934080.

The previous prime is 2012047091. The next prime is 2012047117. The reversal of 2012047104 is 4017402102.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2012047091) and next prime (2012047117).

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 15 ways as a sum of consecutive naturals, for example, 244009 + ... + 252119.

It is an arithmetic number, because the mean of its divisors is an integer number (41452320).

Almost surely, 22012047104 is an apocalyptic number.

2012047104 is a gapful number since it is divisible by the number (24) 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 2012047104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2984567040).

2012047104 is an abundant number, since it is smaller than the sum of its proper divisors (3957086976).

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

2012047104 is a wasteful number, since it uses less digits than its factorization.

2012047104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8166 (or 8152 counting only the distinct ones).

The product of its (nonzero) digits is 448, while the sum is 21.

The square root of 2012047104 is about 44855.8480468266. The cubic root of 2012047104 is about 1262.4457208177.

Adding to 2012047104 its reverse (4017402102), we get a palindrome (6029449206).

The spelling of 2012047104 in words is "two billion, twelve million, forty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 8 12 16 17 19 24 32 34 38 48 51 57 64 68 76 96 102 114 128 136 152 192 204 228 256 272 304 323 384 408 456 544 608 646 768 816 912 969 1088 1216 1292 1632 1824 1938 2176 2432 2584 3264 3648 3876 4352 4864 5168 6528 7296 7752 8111 10336 13056 14592 15504 16222 20672 24333 31008 32444 41344 48666 62016 64888 82688 97332 124032 129776 137887 154109 194664 248064 259552 275774 308218 389328 413661 462327 519104 551548 616436 778656 827322 924654 1038208 1103096 1232872 1557312 1654644 1849308 2076416 2206192 2465744 2619853 3114624 3309288 3698616 4412384 4931488 5239706 6229248 6618576 7397232 7859559 8824768 9862976 10479412 13237152 14794464 15719118 17649536 19725952 20958824 26474304 29588928 31438236 35299072 39451904 41917648 52948608 59177856 62876472 83835296 105897216 118355712 125752944 167670592 251505888 335341184 503011776 670682368 1006023552 2012047104