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18475356012960 = 253571110117472833
BaseRepresentation
bin1000011001101101000010…
…00010000100000110100000
32102102020010022211010002110
410030312201002010012200
54410200012114403320
6103143243354115320
73614541354661410
oct414664102040640
972366108733073
1018475356012960
1159833998aa510
1220a479341bb40
13a402ac343ca2
1447c2d7a3c640
152208be1de5e0
hex10cda10841a0

18475356012960 has 768 divisors, whose sum is σ = 73343979491328. Its totient is φ = 3797508096000.

The previous prime is 18475356012959. The next prime is 18475356012979. The reversal of 18475356012960 is 6921065357481.

It is a self number, because there is not a number n which added to its sum of digits gives 18475356012960.

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, 6521479704 + ... + 6521482536.

It is an arithmetic number, because the mean of its divisors is an integer number (95499973296).

It is a 1-persistent number, because it is pandigital, but 2⋅18475356012960 = 36950712025920 is not.

Almost surely, 218475356012960 is an apocalyptic number.

18475356012960 is a gapful number since it is divisible by the number (10) 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 18475356012960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36671989745664).

18475356012960 is an abundant number, since it is smaller than the sum of its proper divisors (54868623478368).

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

18475356012960 is a wasteful number, since it uses less digits than its factorization.

18475356012960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4717 (or 4709 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 57.

The spelling of 18475356012960 in words is "eighteen trillion, four hundred seventy-five billion, three hundred fifty-six million, twelve thousand, nine hundred sixty".