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81238927248 = 24328356312073
BaseRepresentation
bin100101110101000110…
…1111010011110010000
321202200200101002200100
41023222031322132100
52312334131132443
6101153132052400
75604114326253
oct1135215723620
9252620332610
1081238927248
11314a92904a6
12138b2904100
137878a0876b
143d0951d09a
1521a71483d3
hex12ea37a790

81238927248 has 120 divisors (see below), whose sum is σ = 230523183072. Its totient is φ = 26703650304.

The previous prime is 81238927219. The next prime is 81238927283. The reversal of 81238927248 is 84272983218.

81238927248 is a `hidden beast` number, since 8 + 12 + 389 + 2 + 7 + 248 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 81238927194 and 81238927203.

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 23 ways as a sum of consecutive naturals, for example, 6722940 + ... + 6735012.

Almost surely, 281238927248 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 81238927248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115261591536).

81238927248 is an abundant number, since it is smaller than the sum of its proper divisors (149284255824).

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

81238927248 is a wasteful number, since it uses less digits than its factorization.

81238927248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12733 (or 12724 counting only the distinct ones).

The product of its digits is 3096576, while the sum is 54.

The spelling of 81238927248 in words is "eighty-one billion, two hundred thirty-eight million, nine hundred twenty-seven thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 83 144 166 249 332 498 563 664 747 996 1126 1328 1494 1689 1992 2252 2988 3378 3984 4504 5067 5976 6756 9008 10134 11952 12073 13512 20268 24146 27024 36219 40536 46729 48292 72438 81072 93458 96584 108657 140187 144876 186916 193168 217314 280374 289752 373832 420561 434628 560748 579504 747664 841122 869256 1002059 1121496 1682244 1738512 2004118 2242992 3006177 3364488 4008236 6012354 6728976 6797099 8016472 9018531 12024708 13594198 16032944 18037062 20391297 24049416 27188396 36074124 40782594 48098832 54376792 61173891 72148248 81565188 108753584 122347782 144296496 163130376 244695564 326260752 489391128 564159217 978782256 1128318434 1692477651 2256636868 3384955302 4513273736 5077432953 6769910604 9026547472 10154865906 13539821208 20309731812 27079642416 40619463624 81238927248