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56368781248 = 2613235949927
BaseRepresentation
bin110100011111110101…
…110101011111000000
312101111102210210001211
4310133311311133000
51410420401444443
641521230335504
74033604510053
oct643765653700
9171442723054
1056368781248
11219a678672a
12ab1195a594
135414369440
142a2a4d8a9a
1516eda7619d
hexd1fd757c0

56368781248 has 112 divisors (see below), whose sum is σ = 127831656960. Its totient is φ = 24462941184.

The previous prime is 56368781197. The next prime is 56368781251. The reversal of 56368781248 is 84218786365.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 56368781192 and 56368781201.

It is a congruent number.

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, 1104061 + ... + 1153987.

It is an arithmetic number, because the mean of its divisors is an integer number (1141354080).

Almost surely, 256368781248 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 56368781248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63915828480).

56368781248 is an abundant number, since it is smaller than the sum of its proper divisors (71462875712).

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

56368781248 is a wasteful number, since it uses less digits than its factorization.

56368781248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50034 (or 50024 counting only the distinct ones).

The product of its digits is 15482880, while the sum is 58.

The spelling of 56368781248 in words is "fifty-six billion, three hundred sixty-eight million, seven hundred eighty-one thousand, two hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 32 46 52 59 64 92 104 118 184 208 236 299 368 416 472 598 736 767 832 944 1196 1357 1472 1534 1888 2392 2714 3068 3776 4784 5428 6136 9568 10856 12272 17641 19136 21712 24544 35282 43424 49088 49927 70564 86848 99854 141128 199708 282256 399416 564512 649051 798832 1129024 1148321 1298102 1597664 2296642 2596204 2945693 3195328 4593284 5192408 5891386 9186568 10384816 11782772 14928173 18373136 20769632 23565544 29856346 36746272 38294009 41539264 47131088 59712692 67750939 73492544 76588018 94262176 119425384 135501878 153176036 188524352 238850768 271003756 306352072 477701536 542007512 612704144 880762207 955403072 1084015024 1225408288 1761524414 2168030048 2450816576 3523048828 4336060096 7046097656 14092195312 28184390624 56368781248