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82887113376 = 25363553117
BaseRepresentation
bin100110100110001110…
…1001111101010100000
321220221112201122000000
41031030131033222200
52324223100112001
6102024450300000
75663006560524
oct1151435175240
9256845648000
1082887113376
11321746840a1
1214092887600
137a7c313122
144024397d84
152251bb4a86
hex134c74faa0

82887113376 has 84 divisors (see below), whose sum is σ = 244664152362. Its totient is φ = 27629030016.

The previous prime is 82887113359. The next prime is 82887113399. The reversal of 82887113376 is 67331178828.

82887113376 is a `hidden beast` number, since 82 + 8 + 87 + 113 + 376 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79030703376 + 3856410000 = 281124^2 + 62100^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 1753231 + ... + 1799886.

Almost surely, 282887113376 is an apocalyptic number.

It is an amenable number.

82887113376 is an abundant number, since it is smaller than the sum of its proper divisors (161777038986).

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

82887113376 is an equidigital number, since it uses as much as digits as its factorization.

82887113376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3553145 (or 3553122 counting only the distinct ones).

The product of its digits is 2709504, while the sum is 54.

The spelling of 82887113376 in words is "eighty-two billion, eight hundred eighty-seven million, one hundred thirteen thousand, three hundred seventy-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 243 288 324 432 486 648 729 864 972 1296 1458 1944 2592 2916 3888 5832 7776 11664 23328 3553117 7106234 10659351 14212468 21318702 28424936 31978053 42637404 56849872 63956106 85274808 95934159 113699744 127912212 170549616 191868318 255824424 287802477 341099232 383736636 511648848 575604954 767473272 863407431 1023297696 1151209908 1534946544 1726814862 2302419816 2590222293 3069893088 3453629724 4604839632 5180444586 6907259448 9209679264 10360889172 13814518896 20721778344 27629037792 41443556688 82887113376