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464213536512 = 28311291894811
BaseRepresentation
bin1101100000101010100…
…10000110111100000000
31122101012211200000012220
412300111102012330000
530101202131132022
6553131243051040
745352433645505
oct6602522067400
91571184600186
10464213536512
11169965491840
1275b74210a80
1334a100036ab
141867a4b34ac
15c11e00185c
hex6c15486f00

464213536512 has 144 divisors (see below), whose sum is σ = 1394278462080. Its totient is φ = 135819980800.

The previous prime is 464213536511. The next prime is 464213536601. The reversal of 464213536512 is 215635312464.

It is a super-3 number, since 3×4642135365123 (a number of 36 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (464213536511) 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, 702414 + ... + 1192397.

It is an arithmetic number, because the mean of its divisors is an integer number (9682489320).

Almost surely, 2464213536512 is an apocalyptic number.

It is an amenable number.

464213536512 is an abundant number, since it is smaller than the sum of its proper divisors (930064925568).

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

464213536512 is a wasteful number, since it uses less digits than its factorization.

464213536512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894870 (or 1894856 counting only the distinct ones).

The product of its digits is 518400, while the sum is 42.

Adding to 464213536512 its reverse (215635312464), we get a palindrome (679848848976).

The spelling of 464213536512 in words is "four hundred sixty-four billion, two hundred thirteen million, five hundred thirty-six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 29 32 33 44 48 58 64 66 87 88 96 116 128 132 174 176 192 232 256 264 319 348 352 384 464 528 638 696 704 768 928 957 1056 1276 1392 1408 1856 1914 2112 2552 2784 2816 3712 3828 4224 5104 5568 7424 7656 8448 10208 11136 15312 20416 22272 30624 40832 61248 81664 122496 244992 1894811 3789622 5684433 7579244 11368866 15158488 20842921 22737732 30316976 41685842 45475464 54949519 60633952 62528763 83371684 90950928 109899038 121267904 125057526 164848557 166743368 181901856 219798076 242535808 250115052 329697114 333486736 363803712 439596152 485071616 500230104 604444709 659394228 666973472 727607424 879192304 1000460208 1208889418 1318788456 1333946944 1455214848 1758384608 1813334127 2000920416 2417778836 2637576912 2667893888 3516769216 3626668254 4001840832 4835557672 5275153824 5335787776 7033538432 7253336508 8003681664 9671115344 10550307648 14067076864 14506673016 16007363328 19342230688 21100615296 29013346032 38684461376 42201230592 58026692064 77368922752 116053384128 154737845504 232106768256 464213536512