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56089959456 = 25310950910531
BaseRepresentation
bin110100001111001110…
…001101110000100000
312100210000011011110210
4310033032031300200
51404333012200311
641433430254120
74023650534406
oct641716156040
9170700134423
1056089959456
11218733577a3
12aa544b7340
13539b67512b
142a01479476
1516d434c3a6
hexd0f38dc20

56089959456 has 96 divisors (see below), whose sum is σ = 148892990400. Its totient is φ = 18486973440.

The previous prime is 56089959421. The next prime is 56089959463. The reversal of 56089959456 is 65495998065.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5320911 + ... + 5331441.

It is an arithmetic number, because the mean of its divisors is an integer number (1550968650).

Almost surely, 256089959456 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 56089959456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74446495200).

56089959456 is an abundant number, since it is smaller than the sum of its proper divisors (92803030944).

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

56089959456 is a wasteful number, since it uses less digits than its factorization.

56089959456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11162 (or 11154 counting only the distinct ones).

The product of its (nonzero) digits is 104976000, while the sum is 66.

The spelling of 56089959456 in words is "fifty-six billion, eighty-nine million, nine hundred fifty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 109 218 327 436 509 654 872 1018 1308 1527 1744 2036 2616 3054 3488 4072 5232 6108 8144 10464 10531 12216 16288 21062 24432 31593 42124 48864 55481 63186 84248 110962 126372 166443 168496 221924 252744 332886 336992 443848 505488 665772 887696 1010976 1147879 1331544 1775392 2295758 2663088 3443637 4591516 5326176 5360279 6887274 9183032 10720558 13774548 16080837 18366064 21441116 27549096 32161674 36732128 42882232 55098192 64323348 85764464 110196384 128646696 171528928 257293392 514586784 584270411 1168540822 1752811233 2337081644 3505622466 4674163288 7011244932 9348326576 14022489864 18696653152 28044979728 56089959456