Search a number
-
+
32832225426 = 2371121317233141
BaseRepresentation
bin11110100100111101…
…000000000010010010
310010202010121212021010
4132210331000002102
51014220022203201
623025524311350
72241420211560
oct364475000222
9103663555233
1032832225426
1112a18a31a00
126443542556
133133096230
14183665aa30
15cc25cbbd6
hex7a4f40092

32832225426 has 768 divisors, whose sum is σ = 103784841216. Its totient is φ = 6690816000.

The previous prime is 32832225421. The next prime is 32832225427. The reversal of 32832225426 is 62452223823.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (32832225421) by changing a digit.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 800785966 + ... + 800786006.

It is an arithmetic number, because the mean of its divisors is an integer number (135136512).

Almost surely, 232832225426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32832225426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51892420608).

32832225426 is an abundant number, since it is smaller than the sum of its proper divisors (70952615790).

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

32832225426 is a wasteful number, since it uses less digits than its factorization.

32832225426 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 159 (or 148 counting only the distinct ones).

The product of its digits is 276480, while the sum is 39.

The spelling of 32832225426 in words is "thirty-two billion, eight hundred thirty-two million, two hundred twenty-five thousand, four hundred twenty-six".