Search a number
-
+
46770234624 = 283417196983
BaseRepresentation
bin101011100011101110…
…010010010100000000
311110201111110002110000
4223203232102110000
51231241140001444
633252544240000
73244003302111
oct534356222400
9143644402400
1046770234624
111892063a573
129093310000
1345448abc59
1423997d8208
15133b067469
hexae3b92500

46770234624 has 360 divisors, whose sum is σ = 155457973440. Its totient is φ = 13898760192.

The previous prime is 46770234611. The next prime is 46770234691. The reversal of 46770234624 is 42643207764.

It is a self number, because there is not a number n which added to its sum of digits gives 46770234624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 6694237 + ... + 6701219.

It is an arithmetic number, because the mean of its divisors is an integer number (431827704).

Almost surely, 246770234624 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 46770234624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77728986720).

46770234624 is an abundant number, since it is smaller than the sum of its proper divisors (108687738816).

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

46770234624 is a wasteful number, since it uses less digits than its factorization.

46770234624 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7047 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 45.

The spelling of 46770234624 in words is "forty-six billion, seven hundred seventy million, two hundred thirty-four thousand, six hundred twenty-four".