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42820399104 = 212372192197
BaseRepresentation
bin100111111000010010…
…110111000000000000
311002112020010122201120
4213320102313000000
51200144010232404
631401005432240
73044062246500
oct477022670000
9132466118646
1042820399104
1117183aa969a
12837056b680
1340654a2782
142102dc1a00
1511a94009d9
hex9f84b7000

42820399104 has 468 divisors, whose sum is σ = 140884086024. Its totient is φ = 11531649024.

The previous prime is 42820399073. The next prime is 42820399117. The reversal of 42820399104 is 40199302824.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 217362334 + ... + 217362530.

Almost surely, 242820399104 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 42820399104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70442043012).

42820399104 is an abundant number, since it is smaller than the sum of its proper divisors (98063686920).

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

42820399104 is a wasteful number, since it uses less digits than its factorization.

42820399104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 42820399104 in words is "forty-two billion, eight hundred twenty million, three hundred ninety-nine thousand, one hundred four".