Search a number
-
+
27246992080 = 24571117260189
BaseRepresentation
bin11001011000000011…
…000001101011010000
32121022220000121110211
4121120003001223100
5421300212221310
620303405333504
71653130416460
oct313003015320
977286017424
1027246992080
1110612242480
125344b67294
132752c0c129
141466977ba0
15a970c2c8a
hex6580c1ad0

27246992080 has 160 divisors (see below), whose sum is σ = 83627147520. Its totient is φ = 7992975360.

The previous prime is 27246992057. The next prime is 27246992093. The reversal of 27246992080 is 8029964272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 25375 + ... + 234814.

It is an arithmetic number, because the mean of its divisors is an integer number (522669672).

Almost surely, 227246992080 is an apocalyptic number.

27246992080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 27246992080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41813573760).

27246992080 is an abundant number, since it is smaller than the sum of its proper divisors (56380155440).

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

27246992080 is a wasteful number, since it uses less digits than its factorization.

27246992080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260237 (or 260231 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 49.

The spelling of 27246992080 in words is "twenty-seven billion, two hundred forty-six million, nine hundred ninety-two thousand, eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 17 20 22 28 34 35 40 44 55 56 68 70 77 80 85 88 110 112 119 136 140 154 170 176 187 220 238 272 280 308 340 374 385 440 476 560 595 616 680 748 770 880 935 952 1190 1232 1309 1360 1496 1540 1870 1904 2380 2618 2992 3080 3740 4760 5236 6160 6545 7480 9520 10472 13090 14960 20944 26180 52360 104720 260189 520378 1040756 1300945 1821323 2081512 2601890 2862079 3642646 4163024 4423213 5203780 5724158 7285292 8846426 9106615 10407560 11448316 14310395 14570584 17692852 18213230 20034553 20815120 22116065 22896632 28620790 29141168 30962491 35385704 36426460 40069106 44232130 45793264 48655343 57241580 61924982 70771408 72852920 80138212 88464260 97310686 100172765 114483160 123849964 145705840 154812455 160276424 176928520 194621372 200345530 228966320 243276715 247699928 309624910 320552848 340587401 353857040 389242744 400691060 486553430 495399856 619249820 681174802 778485488 801382120 973106860 1238499640 1362349604 1602764240 1702937005 1946213720 2476999280 2724699208 3405874010 3892427440 5449398416 6811748020 13623496040 27246992080