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56464151323136 = 291133517277493
BaseRepresentation
bin11001101011010100101011…
…01011101010001000000000
321101220220211210022001112212
430311222111223222020000
524400102040214320021
6320031134550041252
714615254210165034
oct1465522553521000
9241826753261485
1056464151323136
1116a9a34844a467
1263bb16a049228
132567714c12bbb
14dd2c455141c4
1567db6740a85b
hex335a95aea200

56464151323136 has 80 divisors (see below), whose sum is σ = 113849182732824. Its totient is φ = 27974177193984.

The previous prime is 56464151323133. The next prime is 56464151323183. The reversal of 56464151323136 is 63132315146465.

It can be written as a sum of positive squares in 4 ways, for example, as 40768735801600 + 15695415521536 = 6385040^2 + 3961744^2 .

It is not an unprimeable number, because it can be changed into a prime (56464151323133) 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, 203340806 + ... + 203618298.

Almost surely, 256464151323136 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 56464151323136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56924591366412).

56464151323136 is an abundant number, since it is smaller than the sum of its proper divisors (57385031409688).

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

56464151323136 is a wasteful number, since it uses less digits than its factorization.

56464151323136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 281141 (or 281125 counting only the distinct ones).

The product of its digits is 4665600, while the sum is 50.

The spelling of 56464151323136 in words is "fifty-six trillion, four hundred sixty-four billion, one hundred fifty-one million, three hundred twenty-three thousand, one hundred thirty-six".

Divisors: 1 2 4 8 16 32 64 113 128 226 256 452 512 904 1808 3517 3616 7034 7232 14068 14464 28136 28928 56272 57856 112544 225088 277493 397421 450176 554986 794842 900352 1109972 1589684 1800704 2219944 3179368 4439888 6358736 8879776 12717472 17759552 25434944 31356709 35519104 50869888 62713418 71038208 101739776 125426836 142076416 203479552 250853672 501707344 975942881 1003414688 1951885762 2006829376 3903771524 4013658752 7807543048 8027317504 15615086096 16054635008 31230172192 62460344384 110281545553 124920688768 220563091106 249841377536 441126182212 499682755072 882252364424 1764504728848 3529009457696 7058018915392 14116037830784 28232075661568 56464151323136