Search a number
-
+
5311203264 = 26333119883
BaseRepresentation
bin1001111001001001…
…01000011111000000
3111201010222002012000
410330210220133000
541334132001024
62235005304000
7245421324423
oct47444503700
914633862160
105311203264
112286043694
121042865000
1366847cb33
1438554d9ba
15211429cc9
hex13c9287c0

5311203264 has 112 divisors (see below), whose sum is σ = 15665744640. Its totient is φ = 1764529920.

The previous prime is 5311203241. The next prime is 5311203311. The reversal of 5311203264 is 4623021135.

5311203264 is a `hidden beast` number, since 5 + 311 + 20 + 326 + 4 = 666.

It is a super-2 number, since 2×53112032642 = 56417760223048507392, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 532467 + ... + 542349.

It is an arithmetic number, because the mean of its divisors is an integer number (139872720).

Almost surely, 25311203264 is an apocalyptic number.

5311203264 is a gapful number since it is divisible by the number (54) 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 5311203264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7832872320).

5311203264 is an abundant number, since it is smaller than the sum of its proper divisors (10354541376).

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

5311203264 is a wasteful number, since it uses less digits than its factorization.

5311203264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10215 (or 10199 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 5311203264 is about 72878.0026070967. The cubic root of 5311203264 is about 1744.7410298141.

Adding to 5311203264 its reverse (4623021135), we get a palindrome (9934224399).

The spelling of 5311203264 in words is "five billion, three hundred eleven million, two hundred three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 288 311 432 576 622 864 933 1244 1728 1866 2488 2799 3732 4976 5598 7464 8397 9883 9952 11196 14928 16794 19766 19904 22392 29649 29856 33588 39532 44784 59298 59712 67176 79064 88947 89568 118596 134352 158128 177894 179136 237192 266841 268704 316256 355788 474384 533682 537408 632512 711576 948768 1067364 1423152 1897536 2134728 2846304 3073613 4269456 5692608 6147226 8538912 9220839 12294452 17077824 18441678 24588904 27662517 36883356 49177808 55325034 73766712 82987551 98355616 110650068 147533424 165975102 196711232 221300136 295066848 331950204 442600272 590133696 663900408 885200544 1327800816 1770401088 2655601632 5311203264