Search a number
-
+
32021630532 = 2234347284819
BaseRepresentation
bin11101110100101000…
…110100111001000100
310001122122100101010000
4131310220310321010
51011040014134112
622413250401300
72212345240263
oct356450647104
9101578311100
1032021630532
1112642414a71
126257b90230
133034173a98
14179ab345da
15c763607dc
hex774a34e44

32021630532 has 60 divisors (see below), whose sum is σ = 83952403920. Its totient is φ = 10643079024.

The previous prime is 32021630519. The next prime is 32021630549. The reversal of 32021630532 is 23503612023.

32021630532 is a `hidden beast` number, since 3 + 2 + 0 + 21 + 630 + 5 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 32021630496 and 32021630505.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 29982 + ... + 254837.

It is an arithmetic number, because the mean of its divisors is an integer number (1399206732).

Almost surely, 232021630532 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 32021630532, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41976201960).

32021630532 is an abundant number, since it is smaller than the sum of its proper divisors (51930773388).

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

32021630532 is a wasteful number, since it uses less digits than its factorization.

32021630532 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 285182 (or 285171 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The spelling of 32021630532 in words is "thirty-two billion, twenty-one million, six hundred thirty thousand, five hundred thirty-two".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 694 1041 1388 2082 3123 4164 6246 9369 12492 18738 28107 37476 56214 112428 284819 569638 854457 1139276 1708914 2563371 3417828 5126742 7690113 10253484 15380226 23070339 30760452 46140678 92281356 98832193 197664386 296496579 395328772 592993158 889489737 1185986316 1778979474 2668469211 3557958948 5336938422 8005407633 10673876844 16010815266 32021630532