Search a number
-
+
32152016820 = 223571112895399
BaseRepresentation
bin11101111100011010…
…001101011110110100
310001222201200200110210
4131330122031132310
51011321404014240
622434225145420
72215520430240
oct357432153664
9101881620423
1032152016820
11126a9a80130
12629378b270
133055196331
1417b0195420
15c82a18780
hex77c68d7b4

32152016820 has 192 divisors, whose sum is σ = 112347648000. Its totient is φ = 6674519040.

The previous prime is 32152016801. The next prime is 32152016821. The reversal of 32152016820 is 2861025123.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32152016821) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5952481 + ... + 5957879.

It is an arithmetic number, because the mean of its divisors is an integer number (585144000).

Almost surely, 232152016820 is an apocalyptic number.

32152016820 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 32152016820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56173824000).

32152016820 is an abundant number, since it is smaller than the sum of its proper divisors (80195631180).

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

32152016820 is a wasteful number, since it uses less digits than its factorization.

32152016820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6718 (or 6716 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 30.

The spelling of 32152016820 in words is "thirty-two billion, one hundred fifty-two million, sixteen thousand, eight hundred twenty".