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20104260742244 = 22722331756925057
BaseRepresentation
bin1001001001000111000110…
…10100011110110001100100
32122011221121111102222110202
410210203203110132301210
510113342011222222434
6110431434143410032
74143325215506300
oct444434324366144
978157544388422
1020104260742244
116451195087918
1223084102b3918
13b2aa92748c23
144d70a1106d00
1524ce5819ca7e
hex1248e351ec64

20104260742244 has 72 divisors (see below), whose sum is σ = 41106161055960. Its totient is φ = 8578302050304.

The previous prime is 20104260742211. The next prime is 20104260742283. The reversal of 20104260742244 is 44224706240102.

It can be written as a sum of positive squares in 4 ways, for example, as 1081055108644 + 19023205633600 = 1039738^2 + 4361560^2 .

It is a junction number, because it is equal to n+sod(n) for n = 20104260742198 and 20104260742207.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 802328564 + ... + 802353620.

It is an arithmetic number, because the mean of its divisors is an integer number (570918903555).

Almost surely, 220104260742244 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 20104260742244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20553080527980).

20104260742244 is an abundant number, since it is smaller than the sum of its proper divisors (21001900313716).

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

20104260742244 is a wasteful number, since it uses less digits than its factorization.

20104260742244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42877 (or 42868 counting only the distinct ones).

The product of its (nonzero) digits is 172032, while the sum is 38.

Adding to 20104260742244 its reverse (44224706240102), we get a palindrome (64328966982346).

The spelling of 20104260742244 in words is "twenty trillion, one hundred four billion, two hundred sixty million, seven hundred forty-two thousand, two hundred forty-four".

Divisors: 1 2 4 7 14 28 49 98 196 233 466 932 1631 3262 6524 11417 17569 22834 25057 35138 45668 50114 70276 100228 122983 175399 245966 350798 491932 701596 860881 1227793 1721762 2455586 3443524 4093577 4911172 5838281 8187154 11676562 16374308 23353124 28655039 40867967 57310078 81735934 114620156 163471868 200585273 286075769 401170546 440226433 572151538 802341092 880452866 1144303076 1760905732 3081585031 6163170062 12326340124 21571095217 43142190434 86284380868 102572758889 205145517778 410291035556 718009312223 1436018624446 2872037248892 5026065185561 10052130371122 20104260742244