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4264834464 = 253311448741
BaseRepresentation
bin1111111000110100…
…0011010110100000
3102000020001001001000
43332031003112200
532213244200324
61543110112000
7210454331502
oct37615032640
912006031030
104264834464
11189942a290
129b034b600
1352c7592b7
142c65b1d72
1519e6399c9
hexfe3435a0

4264834464 has 96 divisors (see below), whose sum is σ = 13569958080. Its totient is φ = 1292371200.

The previous prime is 4264834417. The next prime is 4264834481. The reversal of 4264834464 is 4644384624.

4264834464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 214867 + ... + 233874.

It is an arithmetic number, because the mean of its divisors is an integer number (141353730).

Almost surely, 24264834464 is an apocalyptic number.

4264834464 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4264834464 is an abundant number, since it is smaller than the sum of its proper divisors (9305123616).

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

4264834464 is a wasteful number, since it uses less digits than its factorization.

4264834464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 448771 (or 448757 counting only the distinct ones).

The product of its digits is 1769472, while the sum is 45.

The square root of 4264834464 is about 65305.7000881240. The cubic root of 4264834464 is about 1621.6883358564.

The spelling of 4264834464 in words is "four billion, two hundred sixty-four million, eight hundred thirty-four thousand, four hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 32 33 36 44 48 54 66 72 88 96 99 108 132 144 176 198 216 264 288 297 352 396 432 528 594 792 864 1056 1188 1584 2376 3168 4752 9504 448741 897482 1346223 1794964 2692446 3589928 4038669 4936151 5384892 7179856 8077338 9872302 10769784 12116007 14359712 14808453 16154676 19744604 21539568 24232014 29616906 32309352 39489208 43079136 44425359 48464028 59233812 64618704 78978416 88850718 96928056 118467624 129237408 133276077 157956832 177701436 193856112 236935248 266552154 355402872 387712224 473870496 533104308 710805744 1066208616 1421611488 2132417232 4264834464