Search a number
-
+
1164271344496 = 2413192776611609
BaseRepresentation
bin10000111100010011111…
…110101101101101110000
311010022012001221100121021
4100330103332231231300
5123033411431010441
62250505303305224
7150054505066441
oct20742376555560
94108161840537
101164271344496
11409845904427
1216978814b214
1385a37430930
14404cb3452c8
15204431c73d1
hex10f13fadb70

1164271344496 has 160 divisors (see below), whose sum is σ = 2571866292800. Its totient is φ = 506154147840.

The previous prime is 1164271344491. The next prime is 1164271344499. The reversal of 1164271344496 is 6944431724611.

It is a super-2 number, since 2×11642713444962 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (52).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1164271344491) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 723598540 + ... + 723600148.

It is an arithmetic number, because the mean of its divisors is an integer number (16074164330).

Almost surely, 21164271344496 is an apocalyptic number.

1164271344496 is a gapful number since it is divisible by the number (16) 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 1164271344496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1285933146400).

1164271344496 is an abundant number, since it is smaller than the sum of its proper divisors (1407594948304).

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

1164271344496 is a wasteful number, since it uses less digits than its factorization.

1164271344496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2587 (or 2581 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 52.

The spelling of 1164271344496 in words is "one trillion, one hundred sixty-four billion, two hundred seventy-one million, three hundred forty-four thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 208 247 277 304 494 554 661 988 1108 1322 1609 1976 2216 2644 3218 3601 3952 4432 5263 5288 6436 7202 8593 10526 10576 12559 12872 14404 17186 20917 21052 25118 25744 28808 30571 34372 41834 42104 50236 57616 61142 68419 68744 83668 84208 100472 122284 136838 137488 163267 167336 183097 200944 244568 273676 326534 334672 366194 397423 445693 489136 547352 653068 732388 794846 891386 1063549 1094704 1306136 1464776 1589692 1782772 2127098 2380261 2612272 2929552 3179384 3478843 3565544 4254196 4760522 5794009 6358768 6957686 7131088 8468167 8508392 9521044 11588018 13826137 13915372 16936334 17016784 19042088 20207431 23176036 27652274 27830744 33872668 38084176 40414862 45224959 46352072 55304548 55661488 67745336 80829724 90449918 92704144 110086171 110609096 135490672 161659448 180899836 220172342 221218192 262696603 294603073 323318896 361799672 440344684 525393206 589206146 723599344 880689368 1050786412 1178412292 1761378736 2101572824 2356824584 3829839949 4203145648 4713649168 5597458387 7659679898 11194916774 15319359796 22389833548 30638719592 44779667096 61277439184 72766959031 89559334192 145533918062 291067836124 582135672248 1164271344496