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84088000040 = 23511191109091
BaseRepresentation
bin100111001010000001…
…0010000111000101000
322001001020101222210212
41032110002100320220
52334203012000130
6102343545400252
76034531131032
oct1162402207050
9261036358725
1084088000040
1132730536010
1214368a99088
137c11058055
1440d9a78c52
1522c2327e95
hex1394090e28

84088000040 has 32 divisors (see below), whose sum is σ = 206397819360. Its totient is φ = 30577454400.

The previous prime is 84087999979. The next prime is 84088000043. The reversal of 84088000040 is 4000088048.

It is a junction number, because it is equal to n+sod(n) for n = 84087999970 and 84088000006.

It is not an unprimeable number, because it can be changed into a prime (84088000043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 95554106 + ... + 95554985.

It is an arithmetic number, because the mean of its divisors is an integer number (6449931855).

Almost surely, 284088000040 is an apocalyptic number.

It is an amenable number.

84088000040 is an abundant number, since it is smaller than the sum of its proper divisors (122309819320).

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

84088000040 is a wasteful number, since it uses less digits than its factorization.

84088000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191109113 (or 191109109 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 32.

Adding to 84088000040 its reverse (4000088048), we get a palindrome (88088088088).

The spelling of 84088000040 in words is "eighty-four billion, eighty-eight million, forty", and thus it is an aban number.

Divisors: 1 2 4 5 8 10 11 20 22 40 44 55 88 110 220 440 191109091 382218182 764436364 955545455 1528872728 1911090910 2102200001 3822181820 4204400002 7644363640 8408800004 10511000005 16817600008 21022000010 42044000020 84088000040