Search a number
-
+
53661038208 = 2731012834889
BaseRepresentation
bin110001111110011100…
…100111011010000000
312010111201201011220120
4301332130213122000
51334344211210313
640352422140240
73606525204351
oct617634473200
9163451634816
1053661038208
1120837291268
12a496b81680
1350a23a151b
142850a4bd28
1515e0eb1d23
hexc7e727680

53661038208 has 128 divisors (see below), whose sum is σ = 144486590400. Its totient is φ = 17643724800.

The previous prime is 53661038201. The next prime is 53661038209. The reversal of 53661038208 is 80283016635.

53661038208 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 53661038208.

It is not an unprimeable number, because it can be changed into a prime (53661038201) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10973428 + ... + 10978316.

Almost surely, 253661038208 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 53661038208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72243295200).

53661038208 is an abundant number, since it is smaller than the sum of its proper divisors (90825552192).

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

53661038208 is a wasteful number, since it uses less digits than its factorization.

53661038208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5290 (or 5278 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 42.

The spelling of 53661038208 in words is "fifty-three billion, six hundred sixty-one million, thirty-eight thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 101 128 192 202 283 303 384 404 566 606 808 849 1132 1212 1616 1698 2264 2424 3232 3396 4528 4848 4889 6464 6792 9056 9696 9778 12928 13584 14667 18112 19392 19556 27168 28583 29334 36224 38784 39112 54336 57166 58668 78224 85749 108672 114332 117336 156448 171498 228664 234672 312896 342996 457328 469344 493789 625792 685992 914656 938688 987578 1371984 1383587 1481367 1829312 1877376 1975156 2743968 2767174 2962734 3658624 3950312 4150761 5487936 5534348 5925468 7900624 8301522 10975872 11068696 11850936 15801248 16603044 22137392 23701872 31602496 33206088 44274784 47403744 63204992 66412176 88549568 94807488 132824352 139742287 177099136 189614976 265648704 279484574 419226861 531297408 558969148 838453722 1117938296 1676907444 2235876592 3353814888 4471753184 6707629776 8943506368 13415259552 17887012736 26830519104 53661038208