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5012092400 = 2452723173113
BaseRepresentation
bin1001010101011111…
…00111010111110000
3110221022010200012212
410222233213113300
540231043424100
62145202311252
7235130040200
oct45257472760
913838120185
105012092400
112142217227
12b7a658528
1361b503963
1435792c400
151e5044635
hex12abe75f0

5012092400 has 360 divisors, whose sum is σ = 14787160704. Its totient is φ = 1625702400.

The previous prime is 5012092399. The next prime is 5012092429. The reversal of 5012092400 is 42902105.

It is a super-2 number, since 2×50120924002 = 50242140452275520000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 44354744 + ... + 44354856.

Almost surely, 25012092400 is an apocalyptic number.

5012092400 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 5012092400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7393580352).

5012092400 is an abundant number, since it is smaller than the sum of its proper divisors (9775068304).

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

5012092400 is a wasteful number, since it uses less digits than its factorization.

5012092400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 231 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 23.

The square root of 5012092400 is about 70796.1326627380. The cubic root of 5012092400 is about 1711.3533510736.

Adding to 5012092400 its reverse (42902105), we get a palindrome (5054994505).

The spelling of 5012092400 in words is "five billion, twelve million, ninety-two thousand, four hundred".