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1998655803072 = 2632171912298741
BaseRepresentation
bin11101000101011001001…
…010110100111011000000
321002001212202111120102200
4131011121022310323000
5230221221341144242
64130100402113200
7264253361006415
oct35053112647300
97061782446380
101998655803072
11700697106835
1228342994b800
1311661ac23486
146ca4214610c
1536ec9eac04c
hex1d1592b4ec0

1998655803072 has 336 divisors, whose sum is σ = 6390950997600. Its totient is φ = 593476485120.

The previous prime is 1998655803049. The next prime is 1998655803073. The reversal of 1998655803072 is 2703085568991.

1998655803072 is a `hidden beast` number, since 1 + 9 + 9 + 8 + 6 + 558 + 0 + 3 + 0 + 72 = 666.

It is not an unprimeable number, because it can be changed into a prime (1998655803073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 228648622 + ... + 228657362.

Almost surely, 21998655803072 is an apocalyptic number.

1998655803072 is a gapful number since it is divisible by the number (12) 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 1998655803072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3195475498800).

1998655803072 is an abundant number, since it is smaller than the sum of its proper divisors (4392295194528).

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

1998655803072 is a wasteful number, since it uses less digits than its factorization.

1998655803072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10024 (or 10011 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1998655803072 in words is "one trillion, nine hundred ninety-eight billion, six hundred fifty-five million, eight hundred three thousand, seventy-two".