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81299480768 = 2611378935069
BaseRepresentation
bin100101110110111010…
…0111010000011000000
321202211220022112111022
41023231310322003000
52313000131341033
6101203134005012
75605451120162
oct1135564720300
9252756275438
1081299480768
113152a48a230
121390b046768
13788841a64c
143d135a2932
1521ac60a098
hex12edd3a0c0

81299480768 has 112 divisors (see below), whose sum is σ = 182787645600. Its totient is φ = 35550535680.

The previous prime is 81299480761. The next prime is 81299480791. The reversal of 81299480768 is 86708499218.

It is a self number, because there is not a number n which added to its sum of digits gives 81299480768.

It is not an unprimeable number, because it can be changed into a prime (81299480761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2300738 + ... + 2335806.

It is an arithmetic number, because the mean of its divisors is an integer number (1632032550).

Almost surely, 281299480768 is an apocalyptic number.

81299480768 is a gapful number since it is divisible by the number (88) 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 81299480768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91393822800).

81299480768 is an abundant number, since it is smaller than the sum of its proper divisors (101488164832).

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

81299480768 is a wasteful number, since it uses less digits than its factorization.

81299480768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35218 (or 35208 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 62.

The spelling of 81299480768 in words is "eighty-one billion, two hundred ninety-nine million, four hundred eighty thousand, seven hundred sixty-eight".

Divisors: 1 2 4 8 11 16 22 32 37 44 64 74 88 89 148 176 178 296 352 356 407 592 704 712 814 979 1184 1424 1628 1958 2368 2848 3256 3293 3916 5696 6512 6586 7832 13024 13172 15664 26048 26344 31328 35069 36223 52688 62656 70138 72446 105376 140276 144892 210752 280552 289784 385759 561104 579568 771518 1122208 1159136 1297553 1543036 2244416 2318272 2595106 3086072 3121141 5190212 6172144 6242282 10380424 12344288 12484564 14273083 20760848 24688576 24969128 28546166 34332551 41521696 49938256 57092332 68665102 83043392 99876512 114184664 115482217 137330204 199753024 228369328 230964434 274660408 456738656 461928868 549320816 913477312 923857736 1098641632 1270304387 1847715472 2197283264 2540608774 3695430944 5081217548 7390861888 10162435096 20324870192 40649740384 81299480768