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5030616064 = 21017289191
BaseRepresentation
bin1001010111101100…
…10001110000000000
3110222120222202220111
410223312101300000
540300314203224
62151103321104
7235443350065
oct45366216000
913876882814
105030616064
112151719341
12b848b0194
136222bb0c6
1435a190c6c
151e69a2d94
hex12bd91c00

5030616064 has 132 divisors (see below), whose sum is σ = 10859253120. Its totient is φ = 2328494080.

The previous prime is 5030616011. The next prime is 5030616067. The reversal of 5030616064 is 4606160305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5030616067) 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 11 ways as a sum of consecutive naturals, for example, 26338209 + ... + 26338399.

Almost surely, 25030616064 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 5030616064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5429626560).

5030616064 is an abundant number, since it is smaller than the sum of its proper divisors (5828637056).

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

5030616064 is a wasteful number, since it uses less digits than its factorization.

5030616064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 5030616064 is about 70926.8359931557. The cubic root of 5030616064 is about 1713.4590293036.

Adding to 5030616064 its reverse (4606160305), we get a palindrome (9636776369).

The spelling of 5030616064 in words is "five billion, thirty million, six hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 89 128 136 178 191 256 272 289 356 382 512 544 578 712 764 1024 1088 1156 1424 1513 1528 2176 2312 2848 3026 3056 3247 4352 4624 5696 6052 6112 6494 8704 9248 11392 12104 12224 12988 16999 17408 18496 22784 24208 24448 25721 25976 33998 36992 45568 48416 48896 51442 51952 55199 67996 73984 91136 96832 97792 102884 103904 110398 135992 147968 193664 195584 205768 207808 220796 271984 288983 295936 387328 411536 415616 441592 543968 577966 774656 823072 831232 883184 1087936 1155932 1549312 1646144 1662464 1766368 2175872 2311864 3292288 3324928 3532736 4351744 4623728 4912711 6584576 7065472 8703488 9247456 9825422 13169152 14130944 17406976 18494912 19650844 26338304 28261888 36989824 39301688 56523776 73979648 78603376 147959296 157206752 295918592 314413504 628827008 1257654016 2515308032 5030616064