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84355455348 = 22331471353087
BaseRepresentation
bin100111010001111111…
…0100001100101110100
322001201212200010112000
41032203332201211310
52340224444032343
6102430302055300
76044256353103
oct1164376414564
9261655603460
1084355455348
113285850115a
121442257a530
137c5459c828
1441233ba03a
1522daa58ed3
hex13a3fa1974

84355455348 has 48 divisors (see below), whose sum is σ = 218718312960. Its totient is φ = 28116044352.

The previous prime is 84355455347. The next prime is 84355455361.

84355455348 is a `hidden beast` number, since 8 + 4 + 3 + 5 + 545 + 53 + 48 = 666.

84355455348 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×843554553482 (a number of 23 digits) contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 84355455294 and 84355455303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84355455347) 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, 1562461 + ... + 1615547.

It is an arithmetic number, because the mean of its divisors is an integer number (4556631520).

Almost surely, 284355455348 is an apocalyptic number.

It is an amenable number.

84355455348 is an abundant number, since it is smaller than the sum of its proper divisors (134362857612).

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

84355455348 is a wasteful number, since it uses less digits than its factorization.

84355455348 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67813 (or 67805 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 84355455348 in words is "eighty-four billion, three hundred fifty-five million, four hundred fifty-five thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 14713 29426 44139 53087 58852 88278 106174 132417 159261 176556 212348 264834 318522 397251 477783 529668 637044 794502 955566 1433349 1589004 1911132 2866698 5733396 781069031 1562138062 2343207093 3124276124 4686414186 7029621279 9372828372 14059242558 21088863837 28118485116 42177727674 84355455348