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84225875552 = 2571373939139
BaseRepresentation
bin100111001110001000…
…0001101111001100000
322001101211211210110022
41032130100031321200
52334443311004202
6102405352453012
76041124062330
oct1163420157140
9261354753408
1084225875552
11327a1346a15
12143a70aa168
137c337a03b0
1441100c90c0
1522ce4aeea2
hex139c40de60

84225875552 has 96 divisors (see below), whose sum is σ = 204367161600. Its totient is φ = 33274188288.

The previous prime is 84225875543. The next prime is 84225875557. The reversal of 84225875552 is 25557852248.

84225875552 is nontrivially palindromic in base 3.

It is a super-2 number, since 2×842258755522 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84225875494 and 84225875503.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84225875557) 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, 2132399 + ... + 2171537.

It is an arithmetic number, because the mean of its divisors is an integer number (2128824600).

Almost surely, 284225875552 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 84225875552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102183580800).

84225875552 is an abundant number, since it is smaller than the sum of its proper divisors (120141286048).

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

84225875552 is a wasteful number, since it uses less digits than its factorization.

84225875552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39908 (or 39900 counting only the distinct ones).

The product of its digits is 8960000, while the sum is 53.

The spelling of 84225875552 in words is "eighty-four billion, two hundred twenty-five million, eight hundred seventy-five thousand, five hundred fifty-two".

Divisors: 1 2 4 7 8 13 14 16 26 28 32 52 56 91 104 112 182 208 224 364 416 728 739 1456 1478 2912 2956 5173 5912 9607 10346 11824 19214 20692 23648 38428 39139 41384 67249 76856 78278 82768 134498 153712 156556 165536 268996 273973 307424 313112 508807 537992 547946 626224 1017614 1075984 1095892 1252448 2035228 2151968 2191784 3561649 4070456 4383568 7123298 8140912 8767136 14246596 16281824 28493192 28923721 56986384 57847442 113972768 115694884 202466047 231389768 376008373 404932094 462779536 752016746 809864188 925559072 1504033492 1619728376 2632058611 3008066984 3239456752 5264117222 6016133968 6478913504 10528234444 12032267936 21056468888 42112937776 84225875552