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84044972448 = 25321877155473
BaseRepresentation
bin100111001000101111…
…0001000000110100000
322000221020102222001100
41032101132020012200
52334111003104243
6102335411234400
76033466323123
oct1162136100640
9260836388040
1084044972448
1132709217818
12143565a8a00
137c05171438
1440d40783ba
1522bd6790d3
hex13917881a0

84044972448 has 72 divisors (see below), whose sum is σ = 239131760868. Its totient is φ = 27999885312.

The previous prime is 84044972447. The next prime is 84044972467. The reversal of 84044972448 is 84427944048.

It can be written as a sum of positive squares in 2 ways, for example, as 72763983504 + 11280988944 = 269748^2 + 106212^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×840449724482 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 84044972394 and 84044972403.

It is not an unprimeable number, because it can be changed into a prime (84044972447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 462840 + ... + 618312.

Almost surely, 284044972448 is an apocalyptic number.

It is an amenable number.

84044972448 is an abundant number, since it is smaller than the sum of its proper divisors (155086788420).

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

84044972448 is a wasteful number, since it uses less digits than its factorization.

84044972448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157366 (or 157355 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 84044972448 in words is "eighty-four billion, forty-four million, nine hundred seventy-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 1877 3754 5631 7508 11262 15016 16893 22524 30032 33786 45048 60064 67572 90096 135144 155473 180192 270288 310946 466419 540576 621892 932838 1243784 1399257 1865676 2487568 2798514 3731352 4975136 5597028 7462704 11194056 14925408 22388112 44776224 291822821 583645642 875468463 1167291284 1750936926 2334582568 2626405389 3501873852 4669165136 5252810778 7003747704 9338330272 10505621556 14007495408 21011243112 28014990816 42022486224 84044972448