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42998463200 = 25527112233189
BaseRepresentation
bin101000000010111010…
…000111101011100000
311002222122012020202002
4220002322013223200
51201030101310300
631430410143132
73051353623010
oct500272075340
9132878166662
1042998463200
1117265569900
128400121aa8
134093349444
14211c8d3c40
1511b9d755d5
hexa02e87ae0

42998463200 has 864 divisors, whose sum is σ = 143630807040. Its totient is φ = 12266496000.

The previous prime is 42998463197. The next prime is 42998463203. The reversal of 42998463200 is 236489924.

It is an interprime number because it is at equal distance from previous prime (42998463197) and next prime (42998463203).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42998463203) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 483128756 + ... + 483128844.

It is an arithmetic number, because the mean of its divisors is an integer number (166239360).

Almost surely, 242998463200 is an apocalyptic number.

42998463200 is a gapful number since it is divisible by the number (40) 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 42998463200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71815403520).

42998463200 is an abundant number, since it is smaller than the sum of its proper divisors (100632343840).

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

42998463200 is a wasteful number, since it uses less digits than its factorization.

42998463200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 168 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 47.

The spelling of 42998463200 in words is "forty-two billion, nine hundred ninety-eight million, four hundred sixty-three thousand, two hundred".