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4509449968 = 2419314710181
BaseRepresentation
bin1000011001100100…
…01011111011110000
3102122021022210102111
410030302023323300
533213404344333
62023245055104
7216514456312
oct41462137360
912567283374
104509449968
111a04515561
12a5a257494
1356b334bba
1430ac897b2
151b5d584cd
hex10cc8bef0

4509449968 has 80 divisors (see below), whose sum is σ = 9696522240. Its totient is φ = 2022969600.

The previous prime is 4509449963. The next prime is 4509449977. The reversal of 4509449968 is 8699449054.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4509449963) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 437838 + ... + 448018.

It is an arithmetic number, because the mean of its divisors is an integer number (121206528).

Almost surely, 24509449968 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 4509449968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4848261120).

4509449968 is an abundant number, since it is smaller than the sum of its proper divisors (5187072272).

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

4509449968 is a wasteful number, since it uses less digits than its factorization.

4509449968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10286 (or 10280 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 58.

The square root of 4509449968 is about 67152.4382878239. The cubic root of 4509449968 is about 1652.1184870468.

The spelling of 4509449968 in words is "four billion, five hundred nine million, four hundred forty-nine thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 16 19 31 38 47 62 76 94 124 152 188 248 304 376 496 589 752 893 1178 1457 1786 2356 2914 3572 4712 5828 7144 9424 10181 11656 14288 20362 23312 27683 40724 55366 81448 110732 162896 193439 221464 315611 386878 442928 478507 631222 773756 957014 1262444 1547512 1914028 2524888 3095024 3828056 5049776 5996609 7656112 9091633 11993218 14833717 18183266 23986436 29667434 36366532 47972872 59334868 72733064 95945744 118669736 145466128 237339472 281840623 563681246 1127362492 2254724984 4509449968