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5146263720 = 2335513139293
BaseRepresentation
bin1001100101011110…
…11100000010101000
3111021122121021200000
410302233130002220
541014420414340
62210354143000
7241346343213
oct46257340250
914248537600
105146263720
112200a28114
12bb7581a60
1364024cc80
1436b69677a
15201be8d30
hex132bdc0a8

5146263720 has 384 divisors, whose sum is σ = 18877622400. Its totient is φ = 1253366784.

The previous prime is 5146263671. The next prime is 5146263721. The reversal of 5146263720 is 273626415.

5146263720 is a `hidden beast` number, since 5 + 1 + 4 + 626 + 3 + 7 + 20 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (5146263721) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 17563894 + ... + 17564186.

It is an arithmetic number, because the mean of its divisors is an integer number (49160475).

Almost surely, 25146263720 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 5146263720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9438811200).

5146263720 is an abundant number, since it is smaller than the sum of its proper divisors (13731358680).

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

5146263720 is a wasteful number, since it uses less digits than its factorization.

5146263720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 471 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 5146263720 is about 71737.4638525785. The cubic root of 5146263720 is about 1726.4897829334.

The spelling of 5146263720 in words is "five billion, one hundred forty-six million, two hundred sixty-three thousand, seven hundred twenty".