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84723770040 = 233571331353709
BaseRepresentation
bin100111011100111101…
…1100010001010111000
322002200112201110021220
41032321323202022320
52342003241120130
6102531020232040
76056351106630
oct1167173421270
9262615643256
1084723770040
1132a273a5468
121450599b620
137cb2999010
14415a2936c0
15230d05e410
hex13b9ee22b8

84723770040 has 512 divisors, whose sum is σ = 324288921600. Its totient is φ = 17225809920.

The previous prime is 84723770003. The next prime is 84723770041. The reversal of 84723770040 is 4007732748.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 84723769974 and 84723770001.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84723770041) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 119497206 + ... + 119497914.

It is an arithmetic number, because the mean of its divisors is an integer number (633376800).

Almost surely, 284723770040 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 84723770040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162144460800).

84723770040 is an abundant number, since it is smaller than the sum of its proper divisors (239565151560).

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

84723770040 is a wasteful number, since it uses less digits than its factorization.

84723770040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1127 (or 1123 counting only the distinct ones).

The product of its (nonzero) digits is 263424, while the sum is 42.

The spelling of 84723770040 in words is "eighty-four billion, seven hundred twenty-three million, seven hundred seventy thousand, forty".