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80760740148 = 223311290923369
BaseRepresentation
bin100101100110110110…
…1110001100100110100
321201110100120200022000
41023031231301210310
52310344222141043
6101033450535300
75556216651624
oct1131555614464
9251410520260
1080760740148
1131283372450
121379a737530
13780092000a
143ca1c04884
15217a18d2d3
hex12cdb71934

80760740148 has 96 divisors (see below), whose sum is σ = 228502512000. Its totient is φ = 24463491840.

The previous prime is 80760740147. The next prime is 80760740231. The reversal of 80760740148 is 84104706708.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80760740147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3444208 + ... + 3467576.

It is an arithmetic number, because the mean of its divisors is an integer number (2380234500).

Almost surely, 280760740148 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 80760740148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114251256000).

80760740148 is an abundant number, since it is smaller than the sum of its proper divisors (147741771852).

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

80760740148 is a wasteful number, since it uses less digits than its factorization.

80760740148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26302 (or 26294 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 80760740148 in words is "eighty billion, seven hundred sixty million, seven hundred forty thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2909 5818 8727 11636 17454 23369 26181 31999 34908 46738 52362 63998 70107 78543 93476 95997 104724 127996 140214 157086 191994 210321 257059 280428 287991 314172 383988 420642 514118 575982 630963 771177 841284 863973 1028236 1151964 1261926 1542354 1727946 2313531 2523852 3084708 3455892 4627062 6940593 9254124 13881186 27762372 67980421 135960842 203941263 271921684 407882526 611823789 747784631 815765052 1223647578 1495569262 1835471367 2243353893 2447295156 2991138524 3670942734 4486707786 6730061679 7341885468 8973415572 13460123358 20190185037 26920246716 40380370074 80760740148