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868591027456 = 2853373171629
BaseRepresentation
bin11001010001111000000…
…11110100010100000000
310002000222121020221212221
430220330003310110000
5103212333300334311
61503005240100424
7116516331626005
oct14507403642400
93060877227787
10868591027456
11305404a99949
12120409464714
1363ba5523559
143007bbb18ac
15178d9d89671
hexca3c0f4500

868591027456 has 72 divisors (see below), whose sum is σ = 1771248374280. Its totient is φ = 424956420096.

The previous prime is 868591027441. The next prime is 868591027457. The reversal of 868591027456 is 654720195868.

It can be written as a sum of positive squares in 4 ways, for example, as 310044057856 + 558546969600 = 556816^2 + 747360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 868591027394 and 868591027403.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (868591027457) 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, 4975050 + ... + 5146678.

It is an arithmetic number, because the mean of its divisors is an integer number (24600671865).

Almost surely, 2868591027456 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 868591027456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885624187140).

868591027456 is an abundant number, since it is smaller than the sum of its proper divisors (902657346824).

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

868591027456 is a wasteful number, since it uses less digits than its factorization.

868591027456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172071 (or 172057 counting only the distinct ones).

The product of its (nonzero) digits is 29030400, while the sum is 61.

The spelling of 868591027456 in words is "eight hundred sixty-eight billion, five hundred ninety-one million, twenty-seven thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 53 64 106 128 212 256 373 424 746 848 1492 1696 2984 3392 5968 6784 11936 13568 19769 23872 39538 47744 79076 95488 158152 171629 316304 343258 632608 686516 1265216 1373032 2530432 2746064 5060864 5492128 9096337 10984256 18192674 21968512 36385348 43937024 64017617 72770696 128035234 145541392 256070468 291082784 512140936 582165568 1024281872 1164331136 2048563744 2328662272 3392933701 4097127488 6785867402 8194254976 13571734804 16388509952 27143469608 54286939216 108573878432 217147756864 434295513728 868591027456