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80991254148 = 223723227318443
BaseRepresentation
bin100101101101101110…
…1000111011010000100
321202001102100000001120
41023123131013122010
52311332230113043
6101112403353540
75565016205250
oct1133335073204
9252042300046
1080991254148
11313914a6a92
12138439828b0
1378395cc22c
143cc468b260
152190523983
hex12db747684

80991254148 has 96 divisors (see below), whose sum is σ = 225478342656. Its totient is φ = 22123318272.

The previous prime is 80991254137. The next prime is 80991254189. The reversal of 80991254148 is 84145219908.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 80991254148.

It is an unprimeable number.

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, 4382215 + ... + 4400657.

It is an arithmetic number, because the mean of its divisors is an integer number (2348732736).

Almost surely, 280991254148 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 80991254148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112739171328).

80991254148 is an abundant number, since it is smaller than the sum of its proper divisors (144487088508).

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

80991254148 is a wasteful number, since it uses less digits than its factorization.

80991254148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20753 (or 20751 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 51.

The spelling of 80991254148 in words is "eighty billion, nine hundred ninety-one million, two hundred fifty-four thousand, one hundred forty-eight".

Divisors: 1 2 3 4 6 7 12 14 21 23 28 42 46 69 84 92 138 161 276 322 483 644 966 1932 2273 4546 6819 9092 13638 15911 18443 27276 31822 36886 47733 52279 55329 63644 73772 95466 104558 110658 129101 156837 190932 209116 221316 258202 313674 365953 387303 424189 516404 627348 731906 774606 848378 1097859 1272567 1463812 1549212 1696756 2195718 2545134 2969323 4391436 5090268 5938646 8907969 11877292 17815938 35631876 41920939 83841878 125762817 167683756 251525634 293446573 503051268 586893146 880339719 964181597 1173786292 1760679438 1928363194 2892544791 3521358876 3856726388 5785089582 6749271179 11570179164 13498542358 20247813537 26997084716 40495627074 80991254148