Search a number
-
+
10078459020 = 223557296251
BaseRepresentation
bin10010110001011100…
…10001010010001100
3222000101101202200000
421120232101102030
5131120041142040
64344024204300
7504516326310
oct113056212214
928011352600
1010078459020
114302033483
121b53309690
13c4802b326
146b8747b40
153dec0a130
hex258b9148c

10078459020 has 144 divisors (see below), whose sum is σ = 36232804608. Its totient is φ = 2303640000.

The previous prime is 10078458997. The next prime is 10078459021. The reversal of 10078459020 is 2095487001.

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

It is not an unprimeable number, because it can be changed into a prime (10078459021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114106 + ... + 182145.

Almost surely, 210078459020 is an apocalyptic number.

10078459020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

10078459020 is an abundant number, since it is smaller than the sum of its proper divisors (26154345588).

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

10078459020 is a wasteful number, since it uses less digits than its factorization.

10078459020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296282 (or 296268 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The spelling of 10078459020 in words is "ten billion, seventy-eight million, four hundred fifty-nine thousand, twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 27 28 30 35 36 42 45 54 60 63 70 81 84 90 105 108 126 135 140 162 180 189 210 243 252 270 315 324 378 405 420 486 540 567 630 756 810 945 972 1134 1215 1260 1620 1701 1890 2268 2430 2835 3402 3780 4860 5670 6804 8505 11340 17010 34020 296251 592502 888753 1185004 1481255 1777506 2073757 2666259 2962510 3555012 4147514 4443765 5332518 5925020 6221271 7998777 8295028 8887530 10368785 10665036 12442542 13331295 15997554 17775060 18663813 20737570 23996331 24885084 26662590 31106355 31995108 37327626 39993885 41475140 47992662 53325180 55991439 62212710 71988993 74655252 79987770 93319065 95985324 111982878 119981655 124425420 143977986 159975540 167974317 186638130 223965756 239963310 279957195 287955972 335948634 359944965 373276260 479926620 503922951 559914390 671897268 719889930 839871585 1007845902 1119828780 1439779860 1679743170 2015691804 2519614755 3359486340 5039229510 10078459020