Search a number
-
+
423264463632 = 24333592729189
BaseRepresentation
bin1100010100011001000…
…01110010101100010000
31111110112000202120111000
412022030201302230100
523413321200314012
6522240042222000
742402613402413
oct6121441625420
91443460676430
10423264463632
1115356183424a
126a0464b4900
1330bb543535a
14166b3c53b7a
15b024047ddc
hex628c872b10

423264463632 has 80 divisors (see below), whose sum is σ = 1218310416000. Its totient is φ = 140695099776.

The previous prime is 423264463631. The next prime is 423264463651. The reversal of 423264463632 is 236364462324.

423264463632 is a `hidden beast` number, since 4 + 2 + 3 + 2 + 6 + 4 + 4 + 6 + 3 + 632 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (423264463631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1209507 + ... + 1519682.

It is an arithmetic number, because the mean of its divisors is an integer number (15228880200).

Almost surely, 2423264463632 is an apocalyptic number.

It is an amenable number.

423264463632 is an abundant number, since it is smaller than the sum of its proper divisors (795045952368).

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

423264463632 is a wasteful number, since it uses less digits than its factorization.

423264463632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2729565 (or 2729553 counting only the distinct ones).

The product of its digits is 2985984, while the sum is 45.

The spelling of 423264463632 in words is "four hundred twenty-three billion, two hundred sixty-four million, four hundred sixty-three thousand, six hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 359 432 718 1077 1436 2154 2872 3231 4308 5744 6462 8616 9693 12924 17232 19386 25848 38772 51696 77544 155088 2729189 5458378 8187567 10916756 16375134 21833512 24562701 32750268 43667024 49125402 65500536 73688103 98250804 131001072 147376206 196501608 294752412 393003216 589504824 979778851 1179009648 1959557702 2939336553 3919115404 5878673106 7838230808 8818009659 11757346212 15676461616 17636019318 23514692424 26454028977 35272038636 47029384848 52908057954 70544077272 105816115908 141088154544 211632231816 423264463632