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5034011200 = 265214892113
BaseRepresentation
bin1001011000000110…
…01110101001000000
3110222211101021011021
410230003032221000
540302201324300
62151304155224
7235514250331
oct45403165100
913884337137
105034011200
112153628139
12b85a68b14
13622c0956a
1435a7d6288
151e6e23d1a
hex12c0cea40

5034011200 has 84 divisors (see below), whose sum is σ = 12400998820. Its totient is φ = 2011299840.

The previous prime is 5034011189. The next prime is 5034011207. The reversal of 5034011200 is 21104305.

It can be written as a sum of positive squares in 6 ways, for example, as 1947986496 + 3086024704 = 44136^2 + 55552^2 .

It is a Harshad number since it is a multiple of its sum of digits (16).

It is not an unprimeable number, because it can be changed into a prime (5034011207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2381344 + ... + 2383456.

Almost surely, 25034011200 is an apocalyptic number.

5034011200 is a gapful number since it is divisible by the number (50) 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 5034011200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6200499410).

5034011200 is an abundant number, since it is smaller than the sum of its proper divisors (7366987620).

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

5034011200 is a wasteful number, since it uses less digits than its factorization.

5034011200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3624 (or 3609 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 5034011200 is about 70950.7660282819. The cubic root of 5034011200 is about 1713.8444107449.

Adding to 5034011200 its reverse (21104305), we get a palindrome (5055115505).

The spelling of 5034011200 in words is "five billion, thirty-four million, eleven thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1489 1600 2113 2978 4226 5956 7445 8452 10565 11912 14890 16904 21130 23824 29780 33808 37225 42260 47648 52825 59560 67616 74450 84520 95296 105650 119120 135232 148900 169040 211300 238240 297800 338080 422600 476480 595600 676160 845200 1191200 1690400 2382400 3146257 3380800 6292514 12585028 15731285 25170056 31462570 50340112 62925140 78656425 100680224 125850280 157312850 201360448 251700560 314625700 503401120 629251400 1006802240 1258502800 2517005600 5034011200