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50268848768 = 271761378713
BaseRepresentation
bin101110110100010000…
…011100001010000000
311210202022201002210122
4232310100130022000
51310422311130033
635032043515412
73426465110255
oct566420341200
9153668632718
1050268848768
111a356500116
1298aab28b68
134981681838
14260c31542c
15149329da98
hexbb441c280

50268848768 has 64 divisors (see below), whose sum is σ = 107774430120. Its totient is φ = 23268065280.

The previous prime is 50268848767. The next prime is 50268848843. The reversal of 50268848768 is 86784886205.

It can be written as a sum of positive squares in 4 ways, for example, as 37329331264 + 12939517504 = 193208^2 + 113752^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 50268848768.

It is not an unprimeable number, because it can be changed into a prime (50268848767) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 56621 + ... + 322092.

Almost surely, 250268848768 is an apocalyptic number.

It is an amenable number.

50268848768 is an abundant number, since it is smaller than the sum of its proper divisors (57505581352).

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

50268848768 is a wasteful number, since it uses less digits than its factorization.

50268848768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378805 (or 378793 counting only the distinct ones).

The product of its (nonzero) digits is 41287680, while the sum is 62.

The spelling of 50268848768 in words is "fifty billion, two hundred sixty-eight million, eight hundred forty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 16 17 32 34 61 64 68 122 128 136 244 272 488 544 976 1037 1088 1952 2074 2176 3904 4148 7808 8296 16592 33184 66368 132736 378713 757426 1514852 3029704 6059408 6438121 12118816 12876242 23101493 24237632 25752484 46202986 48475264 51504968 92405972 103009936 184811944 206019872 369623888 392725381 412039744 739247776 785450762 824079488 1478495552 1570901524 2956991104 3141803048 6283606096 12567212192 25134424384 50268848768