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604989340956 = 22337211134791669
BaseRepresentation
bin10001100110111000010…
…11001011110100011100
32010211120202011211121000
420303130023023310130
534403004232402311
61141532301110300
761465125356400
oct10633413136434
92124522154530
10604989340956
11213635790280
1299301858390
1345086526570
14213d2b6d100
1510b0cdbb056
hex8cdc2cbd1c

604989340956 has 576 divisors, whose sum is σ = 2149314048000. Its totient is φ = 144662837760.

The previous prime is 604989340937. The next prime is 604989340957. The reversal of 604989340956 is 659043989406.

604989340956 is a `hidden beast` number, since 6 + 0 + 4 + 98 + 93 + 409 + 56 = 666.

604989340956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×6049893409563 (a number of 36 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 604989340893 and 604989340902.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (604989340957) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 362485290 + ... + 362486958.

It is an arithmetic number, because the mean of its divisors is an integer number (3731448000).

Almost surely, 2604989340956 is an apocalyptic number.

604989340956 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 604989340956, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1074657024000).

604989340956 is an abundant number, since it is smaller than the sum of its proper divisors (1544324707044).

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

604989340956 is a wasteful number, since it uses less digits than its factorization.

604989340956 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2199 (or 2184 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 604989340956 in words is "six hundred four billion, nine hundred eighty-nine million, three hundred forty thousand, nine hundred fifty-six".