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4801321245636 = 22321721006145869
BaseRepresentation
bin100010111011110010100…
…0011000001101111000100
3122000000001022222200012100
41011313211003001233010
51112131101214330021
614113410241152100
71003612134133206
oct105674503015704
918000038880170
104801321245636
111591257744803
1265664092b630
1328a9bb70b456
14128556d56776
1584d60287626
hex45de50c1bc4

4801321245636 has 108 divisors (see below), whose sum is σ = 12894153051780. Its totient is φ = 1506114309120.

The previous prime is 4801321245631. The next prime is 4801321245641. The reversal of 4801321245636 is 6365421231084.

4801321245636 is a `hidden beast` number, since 4 + 8 + 0 + 1 + 3 + 2 + 1 + 2 + 4 + 5 + 636 = 666.

It is an interprime number because it is at equal distance from previous prime (4801321245631) and next prime (4801321245641).

It can be written as a sum of positive squares in 6 ways, for example, as 836961500736 + 3964359744900 = 914856^2 + 1991070^2 .

It is a junction number, because it is equal to n+sod(n) for n = 4801321245591 and 4801321245600.

It is not an unprimeable number, because it can be changed into a prime (4801321245631) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 104651710 + ... + 104697578.

It is an arithmetic number, because the mean of its divisors is an integer number (119390306035).

Almost surely, 24801321245636 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 4801321245636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6447076525890).

4801321245636 is an abundant number, since it is smaller than the sum of its proper divisors (8092831806144).

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

4801321245636 is a wasteful number, since it uses less digits than its factorization.

4801321245636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 55974 (or 55952 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 4801321245636 in words is "four trillion, eight hundred one billion, three hundred twenty-one million, two hundred forty-five thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 68 102 153 204 289 306 578 612 867 1156 1734 2601 3468 5202 10061 10404 20122 30183 40244 45869 60366 90549 91738 120732 137607 171037 181098 183476 275214 342074 362196 412821 513111 550428 684148 779773 825642 1026222 1539333 1559546 1651284 2052444 2339319 2907629 3078666 3119092 4678638 5815258 6157332 7017957 8722887 9357276 11630516 13256141 14035914 17445774 26168661 26512282 28071828 34891548 39768423 52337322 53024564 79536846 104674644 119305269 159073692 238610538 461488009 477221076 922976018 1384464027 1845952036 2768928054 4153392081 5537856108 7845296153 8306784162 15690592306 16613568324 23535888459 31381184612 47071776918 70607665377 94143553836 133370034601 141215330754 266740069202 282430661508 400110103803 533480138404 800220207606 1200330311409 1600440415212 2400660622818 4801321245636