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4268998624 = 251161198817
BaseRepresentation
bin1111111001110011…
…1011111111100000
3102000111212121012011
43332130323333200
532220330423444
61543335242304
7210534614062
oct37634737740
912014777164
104268998624
1118a0813940
129b1819394
135305867b7
142c6d77732
1519ebad734
hexfe73bfe0

4268998624 has 48 divisors (see below), whose sum is σ = 9318997296. Its totient is φ = 1908633600.

The previous prime is 4268998619. The next prime is 4268998627.

4268998624 is nontrivially palindromic in base 10.

It is a super-3 number, since 3×42689986243 (a number of 30 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4268998627) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 77937 + ... + 120880.

It is an arithmetic number, because the mean of its divisors is an integer number (194145777).

Almost surely, 24268998624 is an apocalyptic number.

4268998624 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

4268998624 is an abundant number, since it is smaller than the sum of its proper divisors (5049998672).

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

4268998624 is a wasteful number, since it uses less digits than its factorization.

4268998624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 198899 (or 198891 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 58.

The square root of 4268998624 is about 65337.5743657507. The cubic root of 4268998624 is about 1622.2159665765.

It can be divided in two parts, 426899 and 8624, that multiplied together give a square (3681576976 = 606762).

The spelling of 4268998624 in words is "four billion, two hundred sixty-eight million, nine hundred ninety-eight thousand, six hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 61 88 122 176 244 352 488 671 976 1342 1952 2684 5368 10736 21472 198817 397634 795268 1590536 2186987 3181072 4373974 6362144 8747948 12127837 17495896 24255674 34991792 48511348 69983584 97022696 133406207 194045392 266812414 388090784 533624828 1067249656 2134499312 4268998624