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7045117248 = 2631341431601
BaseRepresentation
bin1101000111110101…
…11111010101000000
3200011222122001000110
412203322333111000
5103412022222443
63123025151320
7336404336301
oct64372772500
920158561013
107045117248
112a9586a954
12144748b540
13883771a40
144ab9427a8
152b377c233
hex1a3ebf540

7045117248 has 224 divisors, whose sum is σ = 21055047552. Its totient is φ = 2064384000.

The previous prime is 7045117241. The next prime is 7045117249. The reversal of 7045117248 is 8427115407.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (7045117241) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 4399648 + ... + 4401248.

It is an arithmetic number, because the mean of its divisors is an integer number (93995748).

Almost surely, 27045117248 is an apocalyptic number.

7045117248 is a gapful number since it is divisible by the number (78) 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 7045117248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10527523776).

7045117248 is an abundant number, since it is smaller than the sum of its proper divisors (14009930304).

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

7045117248 is a wasteful number, since it uses less digits than its factorization.

7045117248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1713 (or 1703 counting only the distinct ones).

The product of its (nonzero) digits is 62720, while the sum is 39.

The square root of 7045117248 is about 83935.1967174677. The cubic root of 7045117248 is about 1917.0322031528.

The spelling of 7045117248 in words is "seven billion, forty-five million, one hundred seventeen thousand, two hundred forty-eight".