Search a number
-
+
81236101776 = 24319417329761
BaseRepresentation
bin100101110101000001…
…1001000101010010000
321202200111001112212020
41023222003020222100
52312332420224101
6101152551331440
75604051320604
oct1135203105220
9252614045766
1081236101776
11314a77306a5
12138b1980b80
13787825969b
143d08dc5504
1521a6c8b136
hex12ea0c8a90

81236101776 has 160 divisors (see below), whose sum is σ = 229400734080. Its totient is φ = 24684134400.

The previous prime is 81236101763. The next prime is 81236101789. The reversal of 81236101776 is 67710163218.

It is an interprime number because it is at equal distance from previous prime (81236101763) and next prime (81236101789).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2714736 + ... + 2744496.

It is an arithmetic number, because the mean of its divisors is an integer number (1433754588).

Almost surely, 281236101776 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 81236101776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114700367040).

81236101776 is an abundant number, since it is smaller than the sum of its proper divisors (148164632304).

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

81236101776 is a wasteful number, since it uses less digits than its factorization.

81236101776 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29905 (or 29899 counting only the distinct ones).

The product of its (nonzero) digits is 84672, while the sum is 42.

The spelling of 81236101776 in words is "eighty-one billion, two hundred thirty-six million, one hundred one thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 8 12 16 19 24 38 41 48 57 73 76 82 114 123 146 152 164 219 228 246 292 304 328 438 456 492 584 656 779 876 912 984 1168 1387 1558 1752 1968 2337 2774 2993 3116 3504 4161 4674 5548 5986 6232 8322 8979 9348 11096 11972 12464 16644 17958 18696 22192 23944 29761 33288 35916 37392 47888 56867 59522 66576 71832 89283 113734 119044 143664 170601 178566 227468 238088 341202 357132 454936 476176 565459 682404 714264 909872 1130918 1220201 1364808 1428528 1696377 2172553 2261836 2440402 2729616 3392754 3660603 4345106 4523672 4880804 6517659 6785508 7321206 8690212 9047344 9761608 13035318 13571016 14642412 17380424 19523216 23183819 26070636 27142032 29284824 34760848 41278507 46367638 52141272 58569648 69551457 82557014 89074673 92735276 104282544 123835521 139102914 165114028 178149346 185470552 247671042 267224019 278205828 330228056 356298692 370941104 495342084 534448038 556411656 660456112 712597384 990684168 1068896076 1112823312 1425194768 1692418787 1981368336 2137792152 3384837574 4275584304 5077256361 6769675148 10154512722 13539350296 20309025444 27078700592 40618050888 81236101776