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4548753968 = 2411243101541
BaseRepresentation
bin1000011110010000…
…00111101000110000
3102202000021122101012
410033020013220300
533303440111333
62031211330052
7220502525243
oct41710075060
912660248335
104548753968
111a24720200
12a6b450928
135765169c5
1431219b25a
151b951de48
hex10f207a30

4548753968 has 120 divisors (see below), whose sum is σ = 10029181008. Its totient is φ = 1995840000.

The previous prime is 4548753967. The next prime is 4548753973. The reversal of 4548753968 is 8693578454.

It is a super-2 number, since 2×45487539682 = 41382325322791490048, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (4548753961) 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 23 ways as a sum of consecutive naturals, for example, 8407778 + ... + 8408318.

Almost surely, 24548753968 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 4548753968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5014590504).

4548753968 is an abundant number, since it is smaller than the sum of its proper divisors (5480427040).

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

4548753968 is a wasteful number, since it uses less digits than its factorization.

4548753968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 715 (or 698 counting only the distinct ones).

The product of its digits is 29030400, while the sum is 59.

The square root of 4548753968 is about 67444.4509800473. The cubic root of 4548753968 is about 1656.9045191965.

The spelling of 4548753968 in words is "four billion, five hundred forty-eight million, seven hundred fifty-three thousand, nine hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 43 44 86 88 101 121 172 176 202 242 344 404 473 484 541 688 808 946 968 1082 1111 1616 1892 1936 2164 2222 3784 4328 4343 4444 5203 5951 7568 8656 8686 8888 10406 11902 12221 17372 17776 20812 23263 23804 24442 34744 41624 46526 47608 47773 48884 54641 65461 69488 83248 93052 95216 95546 97768 109282 130922 186104 191092 195536 218564 255893 261844 372208 382184 437128 511786 523688 525503 601051 764368 874256 1023572 1047376 1051006 1202102 2047144 2102012 2349563 2404204 2814823 4094288 4204024 4699126 4808408 5629646 6611561 8408048 9398252 9616816 11259292 13223122 18796504 22518584 25845193 26446244 37593008 45037168 51690386 52892488 103380772 105784976 206761544 284297123 413523088 568594246 1137188492 2274376984 4548753968