Search a number
-
+
505000060928 = 2111129376507
BaseRepresentation
bin1110101100101000101…
…10010110100000000000
31210021111022201010101022
413112110112112200000
531233220003422203
61023554355525012
751325241456426
oct7262426264000
91707438633338
10505000060928
11185195407260
1281a575b9768
133880cccb2cc
141a6292dd116
15d209a9ca38
hex7594596800

505000060928 has 96 divisors (see below), whose sum is σ = 1105323317280. Its totient is φ = 228759060480.

The previous prime is 505000060927. The next prime is 505000060967. The reversal of 505000060928 is 829060000505.

It is not an unprimeable number, because it can be changed into a prime (505000060921) 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, 6562451 + ... + 6638957.

It is an arithmetic number, because the mean of its divisors is an integer number (11513784555).

Almost surely, 2505000060928 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 505000060928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (552661658640).

505000060928 is an abundant number, since it is smaller than the sum of its proper divisors (600323256352).

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

505000060928 is a wasteful number, since it uses less digits than its factorization.

505000060928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76833 (or 76813 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 35.

The spelling of 505000060928 in words is "five hundred five billion, sixty thousand, nine hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 293 352 512 586 704 1024 1172 1408 2048 2344 2816 3223 4688 5632 6446 9376 11264 12892 18752 22528 25784 37504 51568 75008 76507 103136 150016 153014 206272 300032 306028 412544 600064 612056 825088 841577 1224112 1650176 1683154 2448224 3300352 3366308 4896448 6600704 6732616 9792896 13465232 19585792 22416551 26930464 39171584 44833102 53860928 78343168 89666204 107721856 156686336 179332408 215443712 246582061 358664816 430887424 493164122 717329632 861774848 986328244 1434659264 1723549696 1972656488 2869318528 3945312976 5738637056 7890625952 11477274112 15781251904 22954548224 31562503808 45909096448 63125007616 126250015232 252500030464 505000060928