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46245254328 = 23327137399551
BaseRepresentation
bin101011000100011011…
…101001010010111000
311102100220121022212100
4223010123221102320
51224202241114303
633124512143400
73225000114240
oct530433512270
9142326538770
1046245254328
1118681271059
128b67537b60
13448cbbb920
142349bbcb20
151309e178a3
hexac46e94b8

46245254328 has 192 divisors, whose sum is σ = 154375603200. Its totient is φ = 12178771200.

The previous prime is 46245254327. The next prime is 46245254437. The reversal of 46245254328 is 82345254264.

It is a happy number.

46245254328 is a `hidden beast` number, since 4 + 62 + 4 + 525 + 43 + 28 = 666.

It is a super-2 number, since 2×462452543282 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46245254323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4837153 + ... + 4846703.

It is an arithmetic number, because the mean of its divisors is an integer number (804039600).

Almost surely, 246245254328 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 46245254328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77187801600).

46245254328 is an abundant number, since it is smaller than the sum of its proper divisors (108130348872).

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

46245254328 is a wasteful number, since it uses less digits than its factorization.

46245254328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10322 (or 10315 counting only the distinct ones).

The product of its digits is 1843200, while the sum is 45.

The spelling of 46245254328 in words is "forty-six billion, two hundred forty-five million, two hundred fifty-four thousand, three hundred twenty-eight".