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20035920810024 = 23337195969117107
BaseRepresentation
bin1001000111000111110011…
…11100010101000000101000
32121221102012202210201111000
410203203321330111000220
510111232031211410044
6110340212553435000
74135355536615350
oct443437174250050
977842182721430
1020035920810024
116425205a64299
1222b711940ba60
13b244c1209102
144d3a5ab7db60
1524b2a86a3d69
hex1238f9f15028

20035920810024 has 512 divisors, whose sum is σ = 68191119360000. Its totient is φ = 5323310565120.

The previous prime is 20035920810013. The next prime is 20035920810107. The reversal of 20035920810024 is 42001802953002.

It is a happy number.

20035920810024 is a `hidden beast` number, since 200 + 359 + 2 + 0 + 81 + 0 + 0 + 24 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1171203279 + ... + 1171220385.

It is an arithmetic number, because the mean of its divisors is an integer number (133185780000).

Almost surely, 220035920810024 is an apocalyptic number.

20035920810024 is a gapful number since it is divisible by the number (24) 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 20035920810024, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34095559680000).

20035920810024 is an abundant number, since it is smaller than the sum of its proper divisors (48155198549976).

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

20035920810024 is a wasteful number, since it uses less digits than its factorization.

20035920810024 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17898 (or 17888 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 20035920810024 in words is "twenty trillion, thirty-five billion, nine hundred twenty million, eight hundred ten thousand, twenty-four".