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8049747960 = 23325731571951
BaseRepresentation
bin1110111111100110…
…10110011111111000
3202210000000120021100
413133303112133320
5112441213413320
63410434011400
7403323504642
oct73763263770
922700016240
108049747960
113460966871
121687a16b60
139b3940897
14565137892
15321a75790
hex1dfcd67f8

8049747960 has 192 divisors, whose sum is σ = 26702657280. Its totient is φ = 2102630400.

The previous prime is 8049747947. The next prime is 8049747967. The reversal of 8049747960 is 697479408.

It is a happy number.

8049747960 is a `hidden beast` number, since 80 + 4 + 97 + 479 + 6 + 0 = 666.

It is a super-3 number, since 3×80497479603 (a number of 31 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 8049747897 and 8049747906.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8049747967) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4124985 + ... + 4126935.

It is an arithmetic number, because the mean of its divisors is an integer number (139076340).

Almost surely, 28049747960 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 8049747960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13351328640).

8049747960 is an abundant number, since it is smaller than the sum of its proper divisors (18652909320).

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

8049747960 is a wasteful number, since it uses less digits than its factorization.

8049747960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2198 (or 2191 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The square root of 8049747960 is about 89720.3876496307. The cubic root of 8049747960 is about 2004.1370996359.

The spelling of 8049747960 in words is "eight billion, forty-nine million, seven hundred forty-seven thousand, nine hundred sixty".