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4973434452 = 22337191512293
BaseRepresentation
bin1001010000111000…
…01001011001010100
3110211121101122111000
410220130021121110
540141144400302
62141301543300
7234150331620
oct45034113124
913747348430
104973434452
112122412a08
12b69714b30
136134b9c2c
14352748180
151e195a31c
hex128709654

4973434452 has 192 divisors, whose sum is σ = 15621222400. Its totient is φ = 1336694400.

The previous prime is 4973434429. The next prime is 4973434457. The reversal of 4973434452 is 2544343794.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 4973434398 and 4973434407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4973434457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2167818 + ... + 2170110.

Almost surely, 24973434452 is an apocalyptic number.

4973434452 is a gapful number since it is divisible by the number (42) 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 4973434452, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7810611200).

4973434452 is an abundant number, since it is smaller than the sum of its proper divisors (10647787948).

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

4973434452 is a wasteful number, since it uses less digits than its factorization.

4973434452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2483 (or 2475 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The square root of 4973434452 is about 70522.5811495864. The cubic root of 4973434452 is about 1706.9421374563.

The spelling of 4973434452 in words is "four billion, nine hundred seventy-three million, four hundred thirty-four thousand, four hundred fifty-two".