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56485910061 = 3373143921961
BaseRepresentation
bin110100100110110100…
…101001011000101101
312101210121012112121000
4310212310221120231
51411140343110221
641541013030513
74036526212350
oct644664513055
9171717175530
1056485910061
1121a569072a9
12ab45025439
1354326c9529
142a3bca8297
151708eb0e26
hexd26d2962d

56485910061 has 64 divisors (see below), whose sum is σ = 98951987200. Its totient is φ = 31163875200.

The previous prime is 56485910023. The next prime is 56485910077. The reversal of 56485910061 is 16001958465.

56485910061 is a `hidden beast` number, since 5 + 6 + 485 + 9 + 100 + 61 = 666.

56485910061 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 56485910061 - 210 = 56485909037 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 56485909989 and 56485910016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56485900061) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2561121 + ... + 2583081.

It is an arithmetic number, because the mean of its divisors is an integer number (1546124800).

Almost surely, 256485910061 is an apocalyptic number.

It is an amenable number.

56485910061 is a deficient number, since it is larger than the sum of its proper divisors (42466077139).

56485910061 is a wasteful number, since it uses less digits than its factorization.

56485910061 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22447 (or 22441 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 56485910061 in words is "fifty-six billion, four hundred eighty-five million, nine hundred ten thousand, sixty-one".

Divisors: 1 3 7 9 21 27 31 63 93 189 217 279 439 651 837 1317 1953 3073 3951 5859 9219 11853 13609 21961 27657 40827 65883 82971 95263 122481 153727 197649 285789 367443 461181 592947 680791 857367 1383543 2042373 2572101 4150629 4765537 6127119 9640879 14296611 18381357 28922637 42889833 67486153 86767911 128669499 202458459 260303733 298867249 607375377 896601747 1822126131 2092070743 2689805241 6276212229 8069415723 18828636687 56485910061