Search a number
-
+
42840769536 = 210331981553
BaseRepresentation
bin100111111001100000…
…100100010000000000
311002120122110120201000
4213321200210100000
51200214214111121
631403014212000
73044430350505
oct477140442000
9132518416630
1042840769536
1117194552264
128377354000
134069785696
1421059a54ac
1511ab0c6526
hex9f9824400

42840769536 has 176 divisors, whose sum is σ = 133552830400. Its totient is φ = 13528498176.

The previous prime is 42840769501. The next prime is 42840769549. The reversal of 42840769536 is 63596704824.

42840769536 is a `hidden beast` number, since 4 + 2 + 8 + 40 + 7 + 69 + 536 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 484536 + ... + 566088.

It is an arithmetic number, because the mean of its divisors is an integer number (758822900).

Almost surely, 242840769536 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 42840769536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66776415200).

42840769536 is an abundant number, since it is smaller than the sum of its proper divisors (90712060864).

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

42840769536 is a wasteful number, since it uses less digits than its factorization.

42840769536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81601 (or 81577 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 42840769536 in words is "forty-two billion, eight hundred forty million, seven hundred sixty-nine thousand, five hundred thirty-six".