Search a number
-
+
5064802496 = 261379251307
BaseRepresentation
bin1001011011110001…
…01100000011000000
3111001222022121212122
410231320230003000
540333042134441
62154324143412
7236340053015
oct45570540300
914058277778
105064802496
112169a49096
12b94237b68
136293ca770
1436092d70c
151e99a734b
hex12de2c0c0

5064802496 has 112 divisors (see below), whose sum is σ = 11040099840. Its totient is φ = 2291328000.

The previous prime is 5064802481. The next prime is 5064802499. The reversal of 5064802496 is 6942084605.

It is not an unprimeable number, because it can be changed into a prime (5064802499) 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 15 ways as a sum of consecutive naturals, for example, 16497575 + ... + 16497881.

It is an arithmetic number, because the mean of its divisors is an integer number (98572320).

Almost surely, 25064802496 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 5064802496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5520049920).

5064802496 is an abundant number, since it is smaller than the sum of its proper divisors (5975297344).

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

5064802496 is a wasteful number, since it uses less digits than its factorization.

5064802496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 662 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 44.

The square root of 5064802496 is about 71167.4258070362. The cubic root of 5064802496 is about 1717.3316404207.

The spelling of 5064802496 in words is "five billion, sixty-four million, eight hundred two thousand, four hundred ninety-six".

Divisors: 1 2 4 8 13 16 26 32 52 64 79 104 158 208 251 307 316 416 502 614 632 832 1004 1027 1228 1264 2008 2054 2456 2528 3263 3991 4016 4108 4912 5056 6526 7982 8032 8216 9824 13052 15964 16064 16432 19648 19829 24253 26104 31928 32864 39658 48506 52208 63856 65728 77057 79316 97012 104416 127712 154114 158632 194024 208832 255424 257777 308228 315289 317264 388048 515554 616456 630578 634528 776096 1001741 1031108 1232912 1261156 1269056 1552192 2003482 2062216 2465824 2522312 4006964 4124432 4931648 5044624 6087503 8013928 8248864 10089248 12175006 16027856 16497728 20178496 24350012 32055712 48700024 64111424 79137539 97400048 158275078 194800096 316550156 389600192 633100312 1266200624 2532401248 5064802496