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6442420992 = 28372931243
BaseRepresentation
bin1011111111111111…
…11000101100000000
3121121222112220011220
411333333320230000
5101143224432432
62543135235040
7315435450330
oct57777705400
917558486156
106442420992
112806640277
1212b9678a80
137b8940b37
144518970c0
1527a8ca72c
hex17fff8b00

6442420992 has 432 divisors, whose sum is σ = 21433547520. Its totient is φ = 1679892480.

The previous prime is 6442420981. The next prime is 6442420993. The reversal of 6442420992 is 2990242446.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (6442420993) 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, 149823723 + ... + 149823765.

Almost surely, 26442420992 is an apocalyptic number.

6442420992 is a gapful number since it is divisible by the number (62) 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 6442420992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10716773760).

6442420992 is an abundant number, since it is smaller than the sum of its proper divisors (14991126528).

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

6442420992 is a wasteful number, since it uses less digits than its factorization.

6442420992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 115 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 42.

The square root of 6442420992 is about 80264.6933090758. The cubic root of 6442420992 is about 1860.7286034414.

The spelling of 6442420992 in words is "six billion, four hundred forty-two million, four hundred twenty thousand, nine hundred ninety-two".