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4929568656 = 2432316012789
BaseRepresentation
bin1001001011101001…
…10011111110010000
3110201112212000220220
410211310303332100
540043432144111
62133053433040
7233105433165
oct44564637620
913645760826
104929568656
1120aa681991
12b56a9b780
1360739b93c
1434a9aa06c
151dcb92e06
hex125d33f90

4929568656 has 80 divisors (see below), whose sum is σ = 13301470080. Its totient is φ = 1570201600.

The previous prime is 4929568603. The next prime is 4929568663. The reversal of 4929568656 is 6568659294.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 4929568656.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1766110 + ... + 1768898.

It is an arithmetic number, because the mean of its divisors is an integer number (166268376).

Almost surely, 24929568656 is an apocalyptic number.

4929568656 is a gapful number since it is divisible by the number (46) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4929568656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6650735040).

4929568656 is an abundant number, since it is smaller than the sum of its proper divisors (8371901424).

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

4929568656 is a wasteful number, since it uses less digits than its factorization.

4929568656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4424 (or 4418 counting only the distinct ones).

The product of its digits is 27993600, while the sum is 60.

The square root of 4929568656 is about 70210.8870190372. The cubic root of 4929568656 is about 1701.9088887402.

The spelling of 4929568656 in words is "four billion, nine hundred twenty-nine million, five hundred sixty-eight thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 368 552 1104 1601 2789 3202 4803 5578 6404 8367 9606 11156 12808 16734 19212 22312 25616 33468 36823 38424 44624 64147 66936 73646 76848 110469 128294 133872 147292 192441 220938 256588 294584 384882 441876 513176 589168 769764 883752 1026352 1539528 1767504 3079056 4465189 8930378 13395567 17860756 26791134 35721512 53582268 71443024 102699347 107164536 205398694 214329072 308098041 410797388 616196082 821594776 1232392164 1643189552 2464784328 4929568656