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4112720784 = 2433171035437
BaseRepresentation
bin1111010100100011…
…0010001110010000
3101121121210212022000
43311020302032100
531410324031114
61520033514000
7203626356414
oct36510621620
911547725260
104112720784
111820583aa7
12969412900
1350709a2c3
142b02d6d44
151910dde09
hexf5232390

4112720784 has 160 divisors (see below), whose sum is σ = 12623120640. Its totient is φ = 1277503488.

The previous prime is 4112720723. The next prime is 4112720789. The reversal of 4112720784 is 4870272114.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (4112720789) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 753714 + ... + 759150.

It is an arithmetic number, because the mean of its divisors is an integer number (78894504).

Almost surely, 24112720784 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 4112720784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6311560320).

4112720784 is an abundant number, since it is smaller than the sum of its proper divisors (8510399856).

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

4112720784 is a wasteful number, since it uses less digits than its factorization.

4112720784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5574 (or 5562 counting only the distinct ones).

The product of its (nonzero) digits is 25088, while the sum is 36.

The square root of 4112720784 is about 64130.4980800867. The cubic root of 4112720784 is about 1602.1742295321.

Adding to 4112720784 its reverse (4870272114), we get a palindrome (8982992898).

The spelling of 4112720784 in words is "four billion, one hundred twelve million, seven hundred twenty thousand, seven hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 103 108 136 144 153 204 206 216 272 306 309 408 412 432 459 612 618 816 824 918 927 1224 1236 1648 1751 1836 1854 2448 2472 2781 3502 3672 3708 4944 5253 5437 5562 7004 7344 7416 10506 10874 11124 14008 14832 15759 16311 21012 21748 22248 28016 31518 32622 42024 43496 44496 47277 48933 63036 65244 84048 86992 92429 94554 97866 126072 130488 146799 184858 189108 195732 252144 260976 277287 293598 369716 378216 391464 554574 560011 587196 739432 756432 782928 831861 1109148 1120022 1174392 1478864 1663722 1680033 2218296 2240044 2348784 2495583 3327444 3360066 4436592 4480088 4991166 5040099 6654888 6720132 8960176 9520187 9982332 10080198 13309776 13440264 15120297 19040374 19964664 20160396 26880528 28560561 30240594 38080748 39929328 40320792 57121122 60481188 76161496 80641584 85681683 114242244 120962376 152322992 171363366 228484488 241924752 257045049 342726732 456968976 514090098 685453464 1028180196 1370906928 2056360392 4112720784