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5020946448 = 243729351001
BaseRepresentation
bin1001010110100010…
…11001000000010000
3110221220210111200120
410223101121000100
540240330241243
62150120150240
7235265224560
oct45321310020
913856714616
105020946448
112147214421
12b81608380
136202b3a3b
14358b94da0
151e5be2c83
hex12b459010

5020946448 has 80 divisors (see below), whose sum is σ = 14874631296. Its totient is φ = 1429632000.

The previous prime is 5020946443. The next prime is 5020946453. The reversal of 5020946448 is 8446490205.

It is an interprime number because it is at equal distance from previous prime (5020946443) and next prime (5020946453).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (5020946443) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72948 + ... + 123948.

Almost surely, 25020946448 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 5020946448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7437315648).

5020946448 is an abundant number, since it is smaller than the sum of its proper divisors (9853684848).

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

5020946448 is a wasteful number, since it uses less digits than its factorization.

5020946448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51312 (or 51306 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

The square root of 5020946448 is about 70858.6370741069. The cubic root of 5020946448 is about 1712.3604814178.

The spelling of 5020946448 in words is "five billion, twenty million, nine hundred forty-six thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 293 336 586 879 1172 1758 2051 2344 3516 4102 4688 6153 7032 8204 12306 14064 16408 24612 32816 49224 51001 98448 102002 153003 204004 306006 357007 408008 612012 714014 816016 1071021 1224024 1428028 2142042 2448048 2856056 4284084 5712112 8568168 14943293 17136336 29886586 44829879 59773172 89659758 104603051 119546344 179319516 209206102 239092688 313809153 358639032 418412204 627618306 717278064 836824408 1255236612 1673648816 2510473224 5020946448