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1998290063952 = 2432713308949367
BaseRepresentation
bin11101000101000011010…
…111101001001001010000
321002000221021022002200100
4131011003113221021100
5230214444224021302
64130000215052400
7264241330200540
oct35050327511120
97060837262610
101998290063952
117005197115a6
12283347371100
131165902193b0
146ca0973d320
1536ea7d14d1c
hex1d1435e9250

1998290063952 has 240 divisors, whose sum is σ = 6885366808320. Its totient is φ = 526840270848.

The previous prime is 1998290063951. The next prime is 1998290063969. The reversal of 1998290063952 is 2593600928991.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1998290063952.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1998290063951) 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, 40453573 + ... + 40502939.

It is an arithmetic number, because the mean of its divisors is an integer number (28689028368).

Almost surely, 21998290063952 is an apocalyptic number.

1998290063952 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 1998290063952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3442683404160).

1998290063952 is an abundant number, since it is smaller than the sum of its proper divisors (4887076744368).

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

1998290063952 is a wasteful number, since it uses less digits than its factorization.

1998290063952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52490 (or 52481 counting only the distinct ones).

The product of its (nonzero) digits is 18895680, while the sum is 63.

The spelling of 1998290063952 in words is "one trillion, nine hundred ninety-eight billion, two hundred ninety million, sixty-three thousand, nine hundred fifty-two".