Search a number
-
+
83361078080 = 265779471073
BaseRepresentation
bin100110110100010110…
…1010001101101000000
321222011120120112100022
41031220231101231000
52331210413444310
6102143501113012
76010523321030
oct1155055215500
9258146515308
1083361078080
1132398178865
12141a5558768
137b26580a07
14406b2d38c0
15227d5d8a55
hex1368b51b40

83361078080 has 112 divisors (see below), whose sum is σ = 229733368320. Its totient is φ = 28219097088.

The previous prime is 83361078049. The next prime is 83361078083. The reversal of 83361078080 is 8087016338.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83361078083) 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, 58577 + ... + 412496.

Almost surely, 283361078080 is an apocalyptic number.

83361078080 is a gapful number since it is divisible by the number (80) 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 83361078080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114866684160).

83361078080 is an abundant number, since it is smaller than the sum of its proper divisors (146372290240).

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

83361078080 is a wasteful number, since it uses less digits than its factorization.

83361078080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 471176 (or 471166 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 44.

The spelling of 83361078080 in words is "eighty-three billion, three hundred sixty-one million, seventy-eight thousand, eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 79 80 112 140 158 160 224 280 316 320 395 448 553 560 632 790 1106 1120 1264 1580 2212 2240 2528 2765 3160 4424 5056 5530 6320 8848 11060 12640 17696 22120 25280 35392 44240 88480 176960 471073 942146 1884292 2355365 3297511 3768584 4710730 6595022 7537168 9421460 13190044 15074336 16487555 18842920 26380088 30148672 32975110 37214767 37685840 52760176 65950220 74429534 75371680 105520352 131900440 148859068 150743360 186073835 211040704 260503369 263800880 297718136 372147670 521006738 527601760 595436272 744295340 1042013476 1055203520 1190872544 1302516845 1488590680 2084026952 2381745088 2605033690 2977181360 4168053904 5210067380 5954362720 8336107808 10420134760 11908725440 16672215616 20840269520 41680539040 83361078080