Search a number
-
+
80274969300 = 223525943910331
BaseRepresentation
bin100101011000011000…
…0101101001011010100
321200012111111221222010
41022300300231023110
52303400343004200
6100513335104220
75541200660241
oct1126060551324
9250174457863
1080274969300
1131054144639
1213683b12070
1377540aa746
143c574b45c8
15214c6d6150
hex12b0c2d2d4

80274969300 has 144 divisors (see below), whose sum is σ = 236759846400. Its totient is φ = 20993865600.

The previous prime is 80274969287. The next prime is 80274969301. The reversal of 80274969300 is 396947208.

It is a super-2 number, since 2×802749693002 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (48) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80274969300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80274969301) 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, 7765135 + ... + 7775465.

It is an arithmetic number, because the mean of its divisors is an integer number (1644165600).

Almost surely, 280274969300 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 80274969300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118379923200).

80274969300 is an abundant number, since it is smaller than the sum of its proper divisors (156484877100).

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

80274969300 is a wasteful number, since it uses less digits than its factorization.

80274969300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10846 (or 10839 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 48.

The spelling of 80274969300 in words is "eighty billion, two hundred seventy-four million, nine hundred sixty-nine thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 59 60 75 100 118 150 177 236 295 300 354 439 590 708 878 885 1180 1317 1475 1756 1770 2195 2634 2950 3540 4390 4425 5268 5900 6585 8780 8850 10331 10975 13170 17700 20662 21950 25901 26340 30993 32925 41324 43900 51655 51802 61986 65850 77703 103310 103604 123972 129505 131700 154965 155406 206620 258275 259010 309930 310812 388515 516550 518020 609529 619860 647525 774825 777030 1033100 1219058 1295050 1549650 1554060 1828587 1942575 2438116 2590100 3047645 3099300 3657174 3885150 4535309 6095290 7314348 7770300 9070618 9142935 12190580 13605927 15238225 18141236 18285870 22676545 27211854 30476450 36571740 45353090 45714675 54423708 60952900 68029635 90706180 91429350 113382725 136059270 182858700 226765450 267583231 272118540 340148175 453530900 535166462 680296350 802749693 1070332924 1337916155 1360592700 1605499386 2675832310 3210998772 4013748465 5351664620 6689580775 8027496930 13379161550 16054993860 20068742325 26758323100 40137484650 80274969300