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86847820497888 = 25322315401263411
BaseRepresentation
bin10011101111110011010101…
…011111011000001111100000
3102101111120101221020022022020
4103233303111133120033200
542340403314021413023
6504413200555141440
724202355645011662
oct2357632537301740
9371446357208266
1086847820497888
1125743a5460a11a
1298a7833444880
13395c939505978
141763657bb6532
15a091a0039de3
hex4efcd57d83e0

86847820497888 has 96 divisors (see below), whose sum is σ = 229013579031552. Its totient is φ = 28817475456000.

The previous prime is 86847820497887. The next prime is 86847820497931. The reversal of 86847820497888 is 88879402874868.

It is a happy number.

86847820497888 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86847820497887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 329572903 + ... + 329836313.

It is an arithmetic number, because the mean of its divisors is an integer number (2385558114912).

Almost surely, 286847820497888 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 86847820497888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114506789515776).

86847820497888 is an abundant number, since it is smaller than the sum of its proper divisors (142165758533664).

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

86847820497888 is a wasteful number, since it uses less digits than its factorization.

86847820497888 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 279048 (or 279040 counting only the distinct ones).

The product of its (nonzero) digits is 22196256768, while the sum is 87.

The spelling of 86847820497888 in words is "eighty-six trillion, eight hundred forty-seven billion, eight hundred twenty million, four hundred ninety-seven thousand, eight hundred eighty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 223 446 669 892 1338 1784 2676 3568 5352 7136 10704 15401 21408 30802 46203 61604 92406 123208 184812 246416 263411 369624 492832 526822 739248 790233 1053644 1478496 1580466 2107288 3160932 3434423 4214576 6321864 6868846 8429152 10303269 12643728 13737692 20606538 25287456 27475384 41213076 54950768 58740653 82426152 109901536 117481306 164852304 176221959 234962612 329704608 352443918 469925224 704887836 939850448 1409775672 1879700896 2819551344 4056792811 5639102688 8113585622 12170378433 16227171244 24340756866 32454342488 48681513732 64908684976 97363027464 129817369952 194726054928 389452109856 904664796853 1809329593706 2713994390559 3618659187412 5427988781118 7237318374824 10855977562236 14474636749648 21711955124472 28949273499296 43423910248944 86847820497888