Search a number
-
+
64261285100 = 22521944931
BaseRepresentation
bin111011110110010001…
…010110010011101100
320010212110221111222022
4323312101112103230
52023101342110400
645304330205312
74433311624265
oct736621262354
9203773844868
1064261285100
1125286902691
1210554b83838
1360a1542a6c
1431787bd96c
151a118dab85
hexef64564ec

64261285100 has 90 divisors (see below), whose sum is σ = 147223834884. Its totient is φ = 24346706400.

The previous prime is 64261285069. The next prime is 64261285139. The reversal of 64261285100 is 158216246.

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13029635 + ... + 13034565.

Almost surely, 264261285100 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 64261285100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73611917442).

64261285100 is an abundant number, since it is smaller than the sum of its proper divisors (82962549784).

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

64261285100 is an equidigital number, since it uses as much as digits as its factorization.

64261285100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5021 (or 4957 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 35.

The spelling of 64261285100 in words is "sixty-four billion, two hundred sixty-one million, two hundred eighty-five thousand, one hundred".

Divisors: 1 2 4 5 10 19 20 25 38 50 76 95 100 190 361 380 475 722 950 1444 1805 1900 3610 4931 6859 7220 9025 9862 13718 18050 19724 24655 27436 34295 36100 49310 68590 93689 98620 123275 130321 137180 171475 187378 246550 260642 342950 374756 468445 493100 521284 651605 685900 936890 1303210 1780091 1873780 2342225 2606420 3258025 3560182 4684450 6516050 7120364 8900455 9368900 13032100 17800910 33821729 35601820 44502275 67643458 89004550 135286916 169108645 178009100 338217290 642612851 676434580 845543225 1285225702 1691086450 2570451404 3213064255 3382172900 6426128510 12852257020 16065321275 32130642550 64261285100