Search a number
-
+
468409430232 = 233517137103457
BaseRepresentation
bin1101101000011110110…
…00001011000011011000
31122210001020222111100000
412310033120023003120
530133300303231412
6555103451413000
745561423315012
oct6641730130330
91583036874300
10468409430232
11170718a038a7
1276945454160
133522b3a2343
141895785b1b2
15c2b756e4dc
hex6d0f60b0d8

468409430232 has 192 divisors, whose sum is σ = 1403163609120. Its totient is φ = 145877925888.

The previous prime is 468409430221. The next prime is 468409430267. The reversal of 468409430232 is 232034904864.

468409430232 is a `hidden beast` number, since 4 + 6 + 8 + 409 + 4 + 3 + 0 + 232 = 666.

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, 4475848 + ... + 4579304.

Almost surely, 2468409430232 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 468409430232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (701581804560).

468409430232 is an abundant number, since it is smaller than the sum of its proper divisors (934754178888).

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

468409430232 is a wasteful number, since it uses less digits than its factorization.

468409430232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103632 (or 103616 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 45.

The spelling of 468409430232 in words is "four hundred sixty-eight billion, four hundred nine million, four hundred thirty thousand, two hundred thirty-two".