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42989432832 = 212331941499
BaseRepresentation
bin101000000010010111…
…101011000000000000
311002222000012110102000
4220002113223000000
51201020243322312
631425444424000
73051214102263
oct500227530000
9132860173360
1042989432832
1117260461195
1283b90a8000
134091507028
14211b622cda
1511b918eadc
hexa025eb000

42989432832 has 416 divisors, whose sum is σ = 137608800000. Its totient is φ = 13217955840.

The previous prime is 42989432819. The next prime is 42989432833. The reversal of 42989432832 is 23823498924.

42989432832 is a `hidden beast` number, since 42 + 98 + 9 + 432 + 83 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (42989432833) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 86150919 + ... + 86151417.

Almost surely, 242989432832 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 42989432832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (68804400000).

42989432832 is an abundant number, since it is smaller than the sum of its proper divisors (94619367168).

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

42989432832 is a wasteful number, since it uses less digits than its factorization.

42989432832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592 (or 564 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 42989432832 in words is "forty-two billion, nine hundred eighty-nine million, four hundred thirty-two thousand, eight hundred thirty-two".