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42885280975680 = 2636511137916273
BaseRepresentation
bin10011100000001000000011…
…11100000100101101000000
312121211210101222010001000000
421300010001330010231000
521110113023412210210
6231113120501000000
712014234145506013
oct1160040174045500
9177753358101000
1042885280975680
1112734600103940
1249875559b3000
131ac10ac038690
14a8393158b37a
154e5827e13ac0
hex270101f04b40

42885280975680 has 1568 divisors, whose sum is σ = 182166583656960. Its totient is φ = 9474646671360.

The previous prime is 42885280975673. The next prime is 42885280975687. The reversal of 42885280975680 is 8657908258824.

It is a happy number.

42885280975680 is a `hidden beast` number, since 4 + 2 + 8 + 8 + 52 + 8 + 0 + 9 + 7 + 568 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (42885280975673) and next prime (42885280975687).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 42885280975599 and 42885280975608.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42885280975687) by changing a digit.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 2635356024 + ... + 2635372296.

Almost surely, 242885280975680 is an apocalyptic number.

42885280975680 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 42885280975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91083291828480).

42885280975680 is an abundant number, since it is smaller than the sum of its proper divisors (139281302681280).

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

42885280975680 is a wasteful number, since it uses less digits than its factorization.

42885280975680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16411 (or 16386 counting only the distinct ones).

The product of its (nonzero) digits is 619315200, while the sum is 72.

The spelling of 42885280975680 in words is "forty-two trillion, eight hundred eighty-five billion, two hundred eighty million, nine hundred seventy-five thousand, six hundred eighty".