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4264016544 = 253220297297
BaseRepresentation
bin1111111000100111…
…1011101010100000
3102000011111111001200
43332021323222200
532213042012134
61543040401200
7210444354054
oct37611735240
912004444050
104264016544
111898a20817
129b0016200
1352c530c18
142c643bc64
1519e527499
hexfe27baa0

4264016544 has 72 divisors (see below), whose sum is σ = 12133435860. Its totient is φ = 1420443648.

The previous prime is 4264016543. The next prime is 4264016587. The reversal of 4264016544 is 4456104624.

4264016544 is a `hidden beast` number, since 4 + 2 + 640 + 1 + 6 + 5 + 4 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 3967488144 + 296528400 = 62988^2 + 17220^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 4264016499 and 4264016508.

It is not an unprimeable number, because it can be changed into a prime (4264016543) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 580704 + ... + 588000.

Almost surely, 24264016544 is an apocalyptic number.

It is an amenable number.

4264016544 is an abundant number, since it is smaller than the sum of its proper divisors (7869419316).

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

4264016544 is a wasteful number, since it uses less digits than its factorization.

4264016544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9342 (or 9331 counting only the distinct ones).

The product of its (nonzero) digits is 92160, while the sum is 36.

The square root of 4264016544 is about 65299.4375473480. The cubic root of 4264016544 is about 1621.5846588252.

The spelling of 4264016544 in words is "four billion, two hundred sixty-four million, sixteen thousand, five hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 2029 4058 6087 7297 8116 12174 14594 16232 18261 21891 24348 29188 32464 36522 43782 48696 58376 64928 65673 73044 87564 97392 116752 131346 146088 175128 194784 233504 262692 292176 350256 525384 584352 700512 1050768 2101536 14805613 29611226 44416839 59222452 88833678 118444904 133250517 177667356 236889808 266501034 355334712 473779616 533002068 710669424 1066004136 1421338848 2132008272 4264016544