Search a number
-
+
4112387104 = 257671012713
BaseRepresentation
bin1111010100011110…
…0000110000100000
3101121121011220120111
43311013200300200
531410232341404
61520022421104
7203623466530
oct36507406040
911547156514
104112387104
111820376331
12969291794
13506cb1467
142b024b4c0
15191075104
hexf51e0c20

4112387104 has 96 divisors (see below), whose sum is σ = 9487449216. Its totient is φ = 1718323200.

The previous prime is 4112387063. The next prime is 4112387129. The reversal of 4112387104 is 4017832114.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1514452 + ... + 1517164.

It is an arithmetic number, because the mean of its divisors is an integer number (98827596).

Almost surely, 24112387104 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4112387104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4743724608).

4112387104 is an abundant number, since it is smaller than the sum of its proper divisors (5375062112).

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

4112387104 is a wasteful number, since it uses less digits than its factorization.

4112387104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2898 (or 2890 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 31.

The square root of 4112387104 is about 64127.8964570022. The cubic root of 4112387104 is about 1602.1308982854.

The spelling of 4112387104 in words is "four billion, one hundred twelve million, three hundred eighty-seven thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 67 101 112 134 202 224 268 404 469 536 707 808 938 1072 1414 1616 1876 2144 2713 2828 3232 3752 5426 5656 6767 7504 10852 11312 13534 15008 18991 21704 22624 27068 37982 43408 47369 54136 75964 86816 94738 108272 151928 181771 189476 216544 274013 303856 363542 378952 548026 607712 727084 757904 1096052 1272397 1454168 1515808 1918091 2192104 2544794 2908336 3836182 4384208 5089588 5816672 7672364 8768416 10179176 15344728 18358871 20358352 30689456 36717742 40716704 61378912 73435484 128512097 146870968 257024194 293741936 514048388 587483872 1028096776 2056193552 4112387104