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4653195264 = 2133263113
BaseRepresentation
bin1000101010101101…
…00010000000000000
3110000021210210220100
410111112202000000
534012204222024
62045422042400
7223211335644
oct42526420000
913007723810
104653195264
111a78675523
12a9a419400
13592053ba3
14321dc6c24
151c379e7c9
hex1155a2000

4653195264 has 84 divisors (see below), whose sum is σ = 13441956606. Its totient is φ = 1551040512.

The previous prime is 4653195199. The next prime is 4653195271. The reversal of 4653195264 is 4625913564.

4653195264 is a `hidden beast` number, since 4 + 6 + 531 + 9 + 52 + 64 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4541681664 + 111513600 = 67392^2 + 10560^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42172 + ... + 105284.

Almost surely, 24653195264 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 4653195264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6720978303).

4653195264 is an abundant number, since it is smaller than the sum of its proper divisors (8788761342).

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

4653195264 is an equidigital number, since it uses as much as digits as its factorization.

4653195264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63145 (or 63118 counting only the distinct ones).

The product of its digits is 777600, while the sum is 45.

The square root of 4653195264 is about 68214.3332738802. Note that the first 3 decimals coincide. The cubic root of 4653195264 is about 1669.4897581837.

The spelling of 4653195264 in words is "four billion, six hundred fifty-three million, one hundred ninety-five thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 8192 9216 12288 18432 24576 36864 63113 73728 126226 189339 252452 378678 504904 568017 757356 1009808 1136034 1514712 2019616 2272068 3029424 4039232 4544136 6058848 8078464 9088272 12117696 16156928 18176544 24235392 32313856 36353088 48470784 64627712 72706176 96941568 129255424 145412352 193883136 258510848 290824704 387766272 517021696 581649408 775532544 1163298816 1551065088 2326597632 4653195264