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998468370432 = 2143313295987
BaseRepresentation
bin11101000011110010101…
…10100100000000000000
310112110012222101120201000
432201321112210000000
5112324330400323212
62042405014212000
7132064656054501
oct16417126440000
93473188346630
10998468370432
113554a2401a35
12141615054000
1373202b80960
143647cc6cba8
151ae8c0701dc
hexe8795a4000

998468370432 has 480 divisors, whose sum is σ = 3296307772800. Its totient is φ = 296577662976.

The previous prime is 998468370413. The next prime is 998468370433. The reversal of 998468370432 is 234073864899.

998468370432 is a `hidden beast` number, since 9 + 98 + 46 + 8 + 3 + 70 + 432 = 666.

It is a super-4 number, since 4×9984683704324 (a number of 49 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 998468370432.

It is not an unprimeable number, because it can be changed into a prime (998468370433) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 166769743 + ... + 166775729.

It is an arithmetic number, because the mean of its divisors is an integer number (6867307860).

Almost surely, 2998468370432 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 998468370432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1648153886400).

998468370432 is an abundant number, since it is smaller than the sum of its proper divisors (2297839402368).

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

998468370432 is a wasteful number, since it uses less digits than its factorization.

998468370432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6066 (or 6034 counting only the distinct ones).

The product of its (nonzero) digits is 62705664, while the sum is 63.

It can be divided in two parts, 998468 and 370432, that added together give a square (1368900 = 11702).

The spelling of 998468370432 in words is "nine hundred ninety-eight billion, four hundred sixty-eight million, three hundred seventy thousand, four hundred thirty-two".