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56278547361 = 344326132
BaseRepresentation
bin110100011010011101…
…100111101110100001
312101021011000102110000
4310122131213232201
51410224302003421
641504244330213
74031430521361
oct643235475641
9171234012400
1056278547361
112195a855673
12aaa76a3969
1353cb764bca
142a1c52a9a1
1516e5ba0226
hexd1a767ba1

56278547361 has 45 divisors (see below), whose sum is σ = 86211655299. Its totient is φ = 36586713744.

The previous prime is 56278547329. The next prime is 56278547383. The reversal of 56278547361 is 16374587265.

The square root of 56278547361 is 237231.

It is a perfect power (a square), and thus also a powerful number.

56278547361 is a `hidden beast` number, since 5 + 6 + 278 + 5 + 4 + 7 + 361 = 666.

It can be written as a sum of positive squares in only one way, i.e., 183467025 + 56095080336 = 13545^2 + 236844^2 .

It is not a de Polignac number, because 56278547361 - 25 = 56278547329 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 56278547298 and 56278547307.

It is not an unprimeable number, because it can be changed into a prime (56278547461) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 91808091 + ... + 91808703.

Almost surely, 256278547361 is an apocalyptic number.

56278547361 is the 237231-st square number.

56278547361 is the 118616-th centered octagonal number.

It is an amenable number.

56278547361 is a deficient number, since it is larger than the sum of its proper divisors (29933107938).

56278547361 is an frugal number, since it uses more digits than its factorization.

56278547361 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1324 (or 659 counting only the distinct ones).

The product of its digits is 8467200, while the sum is 54.

The spelling of 56278547361 in words is "fifty-six billion, two hundred seventy-eight million, five hundred forty-seven thousand, three hundred sixty-one".

Divisors: 1 3 9 27 43 81 129 387 613 1161 1839 1849 3483 5517 5547 16551 16641 26359 49653 49923 79077 149769 237231 375769 711693 1127307 1133437 2135079 3381921 3400311 10145763 10200933 16158067 30437289 30602799 48474201 91808397 145422603 436267809 694796881 1308803427 2084390643 6253171929 18759515787 56278547361