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42677608050 = 234527111071279
BaseRepresentation
bin100111101111110010…
…001001111001110010
311002011021110010020000
4213233302021321302
51144400431424200
631334505130430
73040406453160
oct475762117162
9132137403200
1042677608050
1117110440660
128330789a16
134041a28c1c
1420cc052230
15119bae7300
hex9efc89e72

42677608050 has 480 divisors, whose sum is σ = 149339013120. Its totient is φ = 8778326400.

The previous prime is 42677608049. The next prime is 42677608063. The reversal of 42677608050 is 5080677624.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 42677607987 and 42677608005.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 33367311 + ... + 33368589.

It is an arithmetic number, because the mean of its divisors is an integer number (311122944).

Almost surely, 242677608050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 42677608050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74669506560).

42677608050 is an abundant number, since it is smaller than the sum of its proper divisors (106661405070).

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

42677608050 is a wasteful number, since it uses less digits than its factorization.

42677608050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1428 (or 1414 counting only the distinct ones).

The product of its (nonzero) digits is 564480, while the sum is 45.

The spelling of 42677608050 in words is "forty-two billion, six hundred seventy-seven million, six hundred eight thousand, fifty".