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80145501312 = 2733111359581
BaseRepresentation
bin100101010100100001…
…0110100110010000000
321122212110220022021110
41022221002310302000
52303114222020222
6100452432123320
75535036343452
oct1125102646200
9248773808243
1080145501312
1130a980563a8
1213648696540
13773331a176
143c442122d2
15214116030c
hex12a90b4c80

80145501312 has 128 divisors (see below), whose sum is σ = 221702238720. Its totient is φ = 25624166400.

The previous prime is 80145501311. The next prime is 80145501313. The reversal of 80145501312 is 21310554108.

It is an interprime number because it is at equal distance from previous prime (80145501311) and next prime (80145501313).

It is a tau number, because it is divible by the number of its divisors (128).

It is a self number, because there is not a number n which added to its sum of digits gives 80145501312.

It is not an unprimeable number, because it can be changed into a prime (80145501311) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1315362 + ... + 1374942.

It is an arithmetic number, because the mean of its divisors is an integer number (1732048740).

Almost surely, 280145501312 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 80145501312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (110851119360).

80145501312 is an abundant number, since it is smaller than the sum of its proper divisors (141556737408).

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

80145501312 is a wasteful number, since it uses less digits than its factorization.

80145501312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59742 (or 59730 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 30.

The spelling of 80145501312 in words is "eighty billion, one hundred forty-five million, five hundred one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 113 124 128 186 192 226 248 339 372 384 452 496 678 744 904 992 1356 1488 1808 1984 2712 2976 3503 3616 3968 5424 5952 7006 7232 10509 10848 11904 14012 14464 21018 21696 28024 42036 43392 56048 59581 84072 112096 119162 168144 178743 224192 238324 336288 357486 448384 476648 672576 714972 953296 1345152 1429944 1847011 1906592 2859888 3694022 3813184 5541033 5719776 6732653 7388044 7626368 11082066 11439552 13465306 14776088 20197959 22164132 22879104 26930612 29552176 40395918 44328264 53861224 59104352 80791836 88656528 107722448 118208704 161583672 177313056 208712243 215444896 236417408 323167344 354626112 417424486 430889792 626136729 646334688 709252224 834848972 861779584 1252273458 1292669376 1669697944 2504546916 2585338752 3339395888 5009093832 6678791776 10018187664 13357583552 20036375328 26715167104 40072750656 80145501312