Search a number
-
+
42074790912 = 21032711211281
BaseRepresentation
bin100111001011110110…
…100101110000000000
311000121021010211120100
4213023312211300000
51142132121302122
631155012442400
73016436551620
oct471366456000
9130537124510
1042074790912
1116931139180
1281a2919400
133c76b84cab
142071d74880
151163c1eaac
hex9cbda5c00

42074790912 has 528 divisors, whose sum is σ = 152727554304. Its totient is φ = 10838016000.

The previous prime is 42074790881. The next prime is 42074790949. The reversal of 42074790912 is 21909747024.

It is a happy number.

42074790912 is a `hidden beast` number, since 420 + 74 + 79 + 0 + 91 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (528).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 149732212 + ... + 149732492.

Almost surely, 242074790912 is an apocalyptic number.

42074790912 is a gapful number since it is divisible by the number (42) 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 42074790912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76363777152).

42074790912 is an abundant number, since it is smaller than the sum of its proper divisors (110652763392).

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

42074790912 is a wasteful number, since it uses less digits than its factorization.

42074790912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 536 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 254016, while the sum is 45.

The spelling of 42074790912 in words is "forty-two billion, seventy-four million, seven hundred ninety thousand, nine hundred twelve".