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4554980352 = 2103313192329
BaseRepresentation
bin1000011110111111…
…10111110000000000
3102202102222222101000
410033133313300000
533312033332402
62031553012000
7220606460046
oct41737676000
912672888330
104554980352
111a2819317a
12a71554000
135778b6a60
14312d3c396
151b9d4dc1c
hex10f7f7c00

4554980352 has 704 divisors, whose sum is σ = 16507008000. Its totient is φ = 1226244096.

The previous prime is 4554980347. The next prime is 4554980369. The reversal of 4554980352 is 2530894554.

4554980352 is a `hidden beast` number, since 4 + 554 + 98 + 0 + 3 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4554980298 and 4554980307.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 157068274 + ... + 157068302.

Almost surely, 24554980352 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 4554980352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8253504000).

4554980352 is an abundant number, since it is smaller than the sum of its proper divisors (11952027648).

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

4554980352 is a wasteful number, since it uses less digits than its factorization.

4554980352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 113 (or 89 counting only the distinct ones).

The product of its (nonzero) digits is 864000, while the sum is 45.

The square root of 4554980352 is about 67490.5945447216. The cubic root of 4554980352 is about 1657.6601708404.

It can be divided in two parts, 4554 and 980352, that added together give a triangular number (984906 = T1403).

The spelling of 4554980352 in words is "four billion, five hundred fifty-four million, nine hundred eighty thousand, three hundred fifty-two".