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20007805581120 = 2635723731140311
BaseRepresentation
bin1001000110010011011100…
…01001001111011101000000
32121211201122101001002222210
410203021232021033131000
510110301441212043440
6110315243050502120
74133342034251100
oct443115611173500
977751571032883
1020007805581120
116414298714725
1222b1791734940
13b21960474ca6
144d2550b97200
1524a6b027aa80
hex12326e24f740

20007805581120 has 336 divisors, whose sum is σ = 74094353866368. Its totient is φ = 4560948080640.

The previous prime is 20007805581079. The next prime is 20007805581121. The reversal of 20007805581120 is 2118550870002.

It is a tau number, because it is divible by the number of its divisors (336).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20007805581121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16975765 + ... + 18116075.

Almost surely, 220007805581120 is an apocalyptic number.

20007805581120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20007805581120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37047176933184).

20007805581120 is an abundant number, since it is smaller than the sum of its proper divisors (54086548285248).

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

20007805581120 is a wasteful number, since it uses less digits than its factorization.

20007805581120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1140718 (or 1140701 counting only the distinct ones).

The product of its (nonzero) digits is 44800, while the sum is 39.

The spelling of 20007805581120 in words is "twenty trillion, seven billion, eight hundred five million, five hundred eighty-one thousand, one hundred twenty".