Search a number
-
+
46294343424 = 283471773257
BaseRepresentation
bin101011000111010110…
…111001111100000000
311102111022222022110000
4223013112321330000
51224302322442144
633133424240000
73226134266160
oct530726717400
9142438868400
1046294343424
11186a6a4a45a
128b7ba70000
13449a118524
14235251a5a0
15130e3b2769
hexac75b9f00

46294343424 has 720 divisors, whose sum is σ = 169988753088. Its totient is φ = 12230590464.

The previous prime is 46294343411. The next prime is 46294343461. The reversal of 46294343424 is 42434349264.

46294343424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 46294343424.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 180133504 + ... + 180133760.

Almost surely, 246294343424 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 46294343424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (84994376544).

46294343424 is an abundant number, since it is smaller than the sum of its proper divisors (123694409664).

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

46294343424 is a wasteful number, since it uses less digits than its factorization.

46294343424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 359 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 45.

The spelling of 46294343424 in words is "forty-six billion, two hundred ninety-four million, three hundred forty-three thousand, four hundred twenty-four".