Search a number
-
+
63250405236 = 2232101149313373
BaseRepresentation
bin111010111010000001…
…001001011101110100
320001021000210111111100
4322322001021131310
52014014100431421
645020135410100
74366255400544
oct727201113564
9201230714440
1063250405236
1124908228687
1210312523930
135c6cc966b5
1430c043d324
1519a2caac26
hexeba049774

63250405236 has 144 divisors (see below), whose sum is σ = 163506142800. Its totient is φ = 20612966400.

The previous prime is 63250405219. The next prime is 63250405271.

63250405236 is nontrivially palindromic in base 10.

63250405236 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 4052595600 + 59197809636 = 63660^2 + 243306^2 .

It is a super-2 number, since 2×632504052362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 63250405236.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 169571946 + ... + 169572318.

It is an arithmetic number, because the mean of its divisors is an integer number (1135459325).

Almost surely, 263250405236 is an apocalyptic number.

It is an amenable number.

63250405236 is an abundant number, since it is smaller than the sum of its proper divisors (100255737564).

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

63250405236 is a wasteful number, since it uses less digits than its factorization.

63250405236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 946 (or 941 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 36.

The spelling of 63250405236 in words is "sixty-three billion, two hundred fifty million, four hundred five thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 18 36 101 149 202 298 303 313 373 404 447 596 606 626 746 894 909 939 1119 1212 1252 1341 1492 1788 1818 1878 2238 2682 2817 3357 3636 3756 4476 5364 5634 6714 11268 13428 15049 30098 31613 37673 45147 46637 55577 60196 63226 75346 90294 93274 94839 111154 113019 116749 126452 135441 139911 150692 166731 180588 186548 189678 222308 226038 233498 270882 279822 284517 333462 339057 350247 379356 419733 452076 466996 500193 541764 559644 569034 666924 678114 700494 839466 1000386 1050741 1138068 1356228 1400988 1678932 2000772 2101482 4202964 4710337 5613277 9420674 11226554 11791649 14131011 16839831 17395601 18841348 22453108 23583298 28262022 33679662 34791202 35374947 42393033 47166596 50519493 52186803 56524044 67359324 69582404 70749894 84786066 101038986 104373606 106124841 141499788 156560409 169572132 202077972 208747212 212249682 313120818 424499364 626241636 1756955701 3513911402 5270867103 7027822804 10541734206 15812601309 21083468412 31625202618 63250405236