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5234559264 = 2532111739551
BaseRepresentation
bin1001110000000000…
…10000100100100000
3111111210202011101100
410320000100210200
541210021344024
62223230434400
7243501006504
oct47000204440
914453664340
105234559264
112246854940
121021062a00
1365562615c
143792bc304
1520983a7c9
hex138010920

5234559264 has 144 divisors (see below), whose sum is σ = 16334607744. Its totient is φ = 1576896000.

The previous prime is 5234559251. The next prime is 5234559269. The reversal of 5234559264 is 4629554325.

5234559264 is a `hidden beast` number, since 5 + 2 + 34 + 559 + 2 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×52345592642 = 54801221376656443392, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (5234559269) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 543289 + ... + 552839.

It is an arithmetic number, because the mean of its divisors is an integer number (113434776).

Almost surely, 25234559264 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 5234559264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8167303872).

5234559264 is an abundant number, since it is smaller than the sum of its proper divisors (11100048480).

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

5234559264 is a wasteful number, since it uses less digits than its factorization.

5234559264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9751 (or 9740 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The square root of 5234559264 is about 72350.2540700446. The cubic root of 5234559264 is about 1736.3077632557.

The spelling of 5234559264 in words is "five billion, two hundred thirty-four million, five hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 66 72 88 96 99 132 144 173 176 198 264 288 346 352 396 519 528 692 792 1038 1056 1384 1557 1584 1903 2076 2768 3114 3168 3806 4152 5536 5709 6228 7612 8304 9551 11418 12456 15224 16608 17127 19102 22836 24912 28653 30448 34254 38204 45672 49824 57306 60896 68508 76408 85959 91344 105061 114612 137016 152816 171918 182688 210122 229224 274032 305632 315183 343836 420244 458448 548064 630366 687672 840488 916896 945549 1260732 1375344 1652323 1680976 1891098 2521464 2750688 3304646 3361952 3782196 4956969 5042928 6609292 7564392 9913938 10085856 13218584 14870907 15128784 18175553 19827876 26437168 29741814 30257568 36351106 39655752 52874336 54526659 59483628 72702212 79311504 109053318 118967256 145404424 158623008 163579977 218106636 237934512 290808848 327159954 436213272 475869024 581617696 654319908 872426544 1308639816 1744853088 2617279632 5234559264