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5233061064 = 2337117338791
BaseRepresentation
bin1001101111110101…
…00010110011001000
3111111200221001020110
410313322202303020
541204130423224
62223134354320
7243452166540
oct46772426310
914450831213
105233061064
112245a21260
12102065b9a0
1365522024a
1437900c320
15209641929
hex137ea2cc8

5233061064 has 128 divisors (see below), whose sum is σ = 16534702080. Its totient is φ = 1340582400.

The previous prime is 5233061059. The next prime is 5233061069. The reversal of 5233061064 is 4601603325.

It is an interprime number because it is at equal distance from previous prime (5233061059) and next prime (5233061069).

It is not an unprimeable number, because it can be changed into a prime (5233061069) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115509 + ... + 154299.

It is an arithmetic number, because the mean of its divisors is an integer number (129177360).

Almost surely, 25233061064 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 5233061064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8267351040).

5233061064 is an abundant number, since it is smaller than the sum of its proper divisors (11301641016).

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

5233061064 is a wasteful number, since it uses less digits than its factorization.

5233061064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38891 (or 38887 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 30.

The square root of 5233061064 is about 72339.8995299275. The cubic root of 5233061064 is about 1736.1420960443.

Adding to 5233061064 its reverse (4601603325), we get a palindrome (9834664389).

The spelling of 5233061064 in words is "five billion, two hundred thirty-three million, sixty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 7 8 11 12 14 21 22 24 28 33 42 44 56 66 73 77 84 88 132 146 154 168 219 231 264 292 308 438 462 511 584 616 803 876 924 1022 1533 1606 1752 1848 2044 2409 3066 3212 4088 4818 5621 6132 6424 9636 11242 12264 16863 19272 22484 33726 38791 44968 67452 77582 116373 134904 155164 232746 271537 310328 426701 465492 543074 814611 853402 930984 1086148 1280103 1629222 1706804 2172296 2560206 2831743 2986907 3258444 3413608 5120412 5663486 5973814 6516888 8495229 8960721 10240824 11326972 11947628 16990458 17921442 19822201 22653944 23895256 31149173 33980916 35842884 39644402 59466603 62298346 67961832 71685768 79288804 93447519 118933206 124596692 158577608 186895038 218044211 237866412 249193384 373790076 436088422 475732824 654132633 747580152 872176844 1308265266 1744353688 2616530532 5233061064