Search a number
-
+
472394225232 = 24347120812467
BaseRepresentation
bin1101101111111001110…
…00111101011001010000
31200011022222002001110000
412313330320331121100
530214430410201412
61001003115410000
746062240443106
oct6677470753120
91604288061400
10472394225232
11172383252306
1277677a53900
1335714acbcc7
1418c14b73c76
15c44c2de4dc
hex6dfce3d650

472394225232 has 200 divisors, whose sum is σ = 1387731483072. Its totient is φ = 155109427200.

The previous prime is 472394225231. The next prime is 472394225309. The reversal of 472394225232 is 232522493274.

472394225232 is a `hidden beast` number, since 4 + 7 + 2 + 394 + 2 + 25 + 232 = 666.

It is a super-3 number, since 3×4723942252323 (a number of 36 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472394225231) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 191484063 + ... + 191486529.

Almost surely, 2472394225232 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 472394225232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (693865741536).

472394225232 is an abundant number, since it is smaller than the sum of its proper divisors (915337257840).

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

472394225232 is a wasteful number, since it uses less digits than its factorization.

472394225232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4639 (or 4624 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 472394225232 in words is "four hundred seventy-two billion, three hundred ninety-four million, two hundred twenty-five thousand, two hundred thirty-two".