Search a number
-
+
32450109952 = 29139750261
BaseRepresentation
bin11110001110001011…
…010110001000000000
310002202111121101101011
4132032023112020000
51012424212004302
622523554250304
72226100245361
oct361613261000
9102674541334
1032450109952
1112842271997
126357586994
1330a1b771c0
1417db9cdb68
15c9dc9c5d7
hex78e2d6200

32450109952 has 80 divisors (see below), whose sum is σ = 70545531672. Its totient is φ = 14822277120.

The previous prime is 32450109947. The next prime is 32450110009. The reversal of 32450109952 is 25990105423.

It can be written as a sum of positive squares in 4 ways, for example, as 16388096256 + 16062013696 = 128016^2 + 126736^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 620502 + ... + 670762.

Almost surely, 232450109952 is an apocalyptic number.

32450109952 is a gapful number since it is divisible by the number (32) 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 32450109952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35272765836).

32450109952 is an abundant number, since it is smaller than the sum of its proper divisors (38095421720).

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

32450109952 is an equidigital number, since it uses as much as digits as its factorization.

32450109952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50389 (or 50373 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 40.

The spelling of 32450109952 in words is "thirty-two billion, four hundred fifty million, one hundred nine thousand, nine hundred fifty-two".

Divisors: 1 2 4 8 13 16 26 32 52 64 97 104 128 194 208 256 388 416 512 776 832 1261 1552 1664 2522 3104 3328 5044 6208 6656 10088 12416 20176 24832 40352 49664 50261 80704 100522 161408 201044 322816 402088 645632 653393 804176 1306786 1608352 2613572 3216704 4875317 5227144 6433408 9750634 10454288 12866816 19501268 20908576 25733632 39002536 41817152 63379121 78005072 83634304 126758242 156010144 167268608 253516484 312020288 334537216 507032968 624040576 1014065936 1248081152 2028131872 2496162304 4056263744 8112527488 16225054976 32450109952