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5085390442900 = 2252232543869461
BaseRepresentation
bin100101000000000100011…
…1001000001000110010100
3200000011021121022001221111
41022000020321001012110
51131304334423133100
614452110210024404
71033256500356535
oct112001071010624
920004247261844
105085390442900
11169077a369129
126a16bab78104
132ab71cc01161
141381c43ba68c
158c43906d6ba
hex4a008e41194

5085390442900 has 72 divisors (see below), whose sum is σ = 11519634196224. Its totient is φ = 1944947241600.

The previous prime is 5085390442897. The next prime is 5085390442919. The reversal of 5085390442900 is 92440935805.

It is a super-2 number, since 2×50853904429002 (a number of 26 digits) 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 (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5414170 + ... + 6283630.

It is an arithmetic number, because the mean of its divisors is an integer number (159994919392).

Almost surely, 25085390442900 is an apocalyptic number.

5085390442900 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 5085390442900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5759817098112).

5085390442900 is an abundant number, since it is smaller than the sum of its proper divisors (6434243753324).

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

5085390442900 is a wasteful number, since it uses less digits than its factorization.

5085390442900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872041 (or 872034 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 5085390442900 in words is "five trillion, eighty-five billion, three hundred ninety million, four hundred forty-two thousand, nine hundred".

Divisors: 1 2 4 5 10 20 23 25 46 50 92 100 115 230 460 575 1150 2300 2543 5086 10172 12715 25430 50860 58489 63575 116978 127150 233956 254300 292445 584890 869461 1169780 1462225 1738922 2924450 3477844 4347305 5848900 8694610 17389220 19997603 21736525 39995206 43473050 79990412 86946100 99988015 199976030 399952060 499940075 999880150 1999760300 2211039323 4422078646 8844157292 11055196615 22110393230 44220786460 50853904429 55275983075 101707808858 110551966150 203415617716 221103932300 254269522145 508539044290 1017078088580 1271347610725 2542695221450 5085390442900