Search a number
-
+
35008499932 = 227194115710223
BaseRepresentation
bin100000100110101010…
…110101000011011100
310100100210200001122121
4200212222311003130
51033144133444212
624025505352324
72346354224320
oct404652650334
9110323601577
1035008499932
111393542717a
1269503386a4
1333bbc0b823
1419a16bd980
15d9d6add07
hex826ab50dc

35008499932 has 96 divisors (see below), whose sum is σ = 75988039680. Its totient is φ = 13777620480.

The previous prime is 35008499909. The next prime is 35008499957. The reversal of 35008499932 is 23999480053.

It is a self number, because there is not a number n which added to its sum of digits gives 35008499932.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3419373 + ... + 3429595.

It is an arithmetic number, because the mean of its divisors is an integer number (791542080).

Almost surely, 235008499932 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 35008499932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37994019840).

35008499932 is an abundant number, since it is smaller than the sum of its proper divisors (40979539748).

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

35008499932 is a wasteful number, since it uses less digits than its factorization.

35008499932 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10451 (or 10449 counting only the distinct ones).

The product of its (nonzero) digits is 2099520, while the sum is 52.

The spelling of 35008499932 in words is "thirty-five billion, eight million, four hundred ninety-nine thousand, nine hundred thirty-two".

Divisors: 1 2 4 7 14 19 28 38 41 76 82 133 157 164 266 287 314 532 574 628 779 1099 1148 1558 2198 2983 3116 4396 5453 5966 6437 10223 10906 11932 12874 20446 20881 21812 25748 40892 41762 45059 71561 83524 90118 122303 143122 180236 194237 244606 286244 388474 419143 489212 776948 838286 856121 1359659 1605011 1676572 1712242 2719318 2934001 3210022 3424484 5438636 5868002 6420044 7963717 11235077 11736004 15927434 22470154 30495209 31854868 44940308 55746019 60990418 65805451 111492038 121980836 131610902 213466463 222984076 263221804 426932926 460638157 853865852 921276314 1250303569 1842552628 2500607138 5001214276 8752124983 17504249966 35008499932